MATEMATICA Degree Program Profile

Course structure diagram w/credits

Available tracks

• Track Applicativo
• Track Didattico
• Track Generale
• Track Modellistico
• Track Teorico

Track Applicativo

Year 1 (2023/2024)
	Free choice		6 ECTS
774AA	Fundamentals of mathematical physics		11 ECTS
772AA	Principles of numerical analysis		11 ECTS
Group ModAffInt - Choice of 6 ECTS from:
	231AA	2-manifolds	6 ECTS
	232AA	3-manifolds	6 ECTS
	233AA	4-manifolds	6 ECTS
	145AA	Advanced mechanics	6 ECTS
	107AA	Advanced numerical linear algebra	6 ECTS
	560AA	Advanced probability	6 ECTS
	669AA	Advanced Statistics	6 ECTS
	037AA	Algebra 1	6 ECTS
	038AA	Algebra 2	6 ECTS
	797AA	Algebraic combinatorics	6 ECTS
	115AA	Algebraic geometry A	6 ECTS
	116AA	Algebraic geometry B	6 ECTS
	117AA	Algebraic geometry C	6 ECTS
	118AA	Algebraic geometry D	6 ECTS
	119AA	Algebraic geometry E	6 ECTS
	120AA	Algebraic geometry F	6 ECTS
	608AA	Algebraic geometry G	6 ECTS
	077AA	Algebraic number theory 1	6 ECTS
	202AA	Algebraic number theory 2	6 ECTS
	706AA	Algebraic number theory 3	6 ECTS
	777AA	Algebraic topology A	6 ECTS
	766AA	Algebraic topology B	6 ECTS
	039AA	Algorithms and data structure	6 ECTS
	549AA	Analysis in metric spaces	6 ECTS
	204AA	Analytic number theory A	6 ECTS
	205AA	Analytic number theory B	6 ECTS
	701AA	Applications of Differential Equations in Biomedicine	6 ECTS
	700AA	Applications of fluid dynamics in biomedicine	6 ECTS
	146AA	Approximation methods	6 ECTS
	210AA	Automated control theory	6 ECTS
	096AA	Calculus of variations A	6 ECTS
	097AA	Calculus of variations B	6 ECTS
	220AA	Category theory	6 ECTS
	142AA	Celestial mechanics	6 ECTS
	209AA	Coding theory	6 ECTS
	079AA	Coding theory and cryptography	6 ECTS
	610AA	Combinatorial optimization	6 ECTS
	582AA	Complements of mathematics education	6 ECTS
	091AA	Complex analysis A	6 ECTS
	092AA	Complex analysis B	6 ECTS
	123AA	Complex differential geometry	6 ECTS
	217AA	Computability Theory	6 ECTS
	082AA	Computational commutative algebra and algebraic geometry	6 ECTS
	129AA	Computational real geometry	6 ECTS
	045AA	Computer algebra	6 ECTS
	083AA	Computer algebra A	6 ECTS
	084AA	Computer algebra B.	6 ECTS
	122AA	Contact geometry	6 ECTS
	143AA	Continuous mechanics	6 ECTS
	093AA	Convex analysis	6 ECTS
	132AA	Coxeter Groups	6 ECTS
	098AA	Cyclotomic fields	6 ECTS
	699AA	Data Analysis	6 ECTS
	222AA	Descriptive complexity theory	6 ECTS
	528AA	Didactics of mathematics and new technologies	6 ECTS
	055AA	Differential geometry and topology	6 ECTS
	155AA	Differential operators and index theorems	6 ECTS
	227AA	Differential topology	6 ECTS
	171AA	Discrete dynamical systems	6 ECTS
	139AA	Discrete mathematics	6 ECTS
	074AA	Dynamical systems	6 ECTS
	580AA	Dynamics of the solar system	6 ECTS
	065AA	Elementary mathematics from an advanced standpoint: arithmetic	6 ECTS
	066AA	Elementary mathematics from an advanced standpoint: geometry	6 ECTS
	080AA	Elementary number theory	6 ECTS
	049AA	Elements of algebraic geometry	6 ECTS
	054AA	Elements of algebraic topology	6 ECTS
	514AA	Elements of calculus of homogeneous groups	6 ECTS
	047AA	Elements of calculus of variations	6 ECTS
	051AA	Elements of celestial mechanics	6 ECTS
	046AA	Elements of complex analysis	6 ECTS
	050AA	Elements of Mathematical Logic	6 ECTS
	052AA	Elements of probability and statistics	6 ECTS
	053AA	Elements of Set Theory	6 ECTS
	704AA	Elliptic curves	6 ECTS
	109AA	Elliptic equations	6 ECTS
	554AA	Equations of fluid mechanics	6 ECTS
	224AA	Ergodic theory	6 ECTS
	702AA	Étale cohomology	6 ECTS
	168AA	Evolution problems	6 ECTS
	078AA	Field and Galois theories	6 ECTS
	110AA	Financial Mathematics	6 ECTS
	112AA	Foundations of mathematics	6 ECTS
	099AA	Functional Analysis	6 ECTS
	172AA	Functional spaces	6 ECTS
	211AA	Game theory.	6 ECTS
	229AA	General topology	6 ECTS
	548AA	Geometric analysis	6 ECTS
	225AA	Geometric measure theory	6 ECTS
	124AA	Geometry and topology of surfaces	6 ECTS
	121AA	Geometry of metric spaces	6 ECTS
	057AA	Groups and representations	6 ECTS
	212AA	Group theory	6 ECTS
	090AA	Harmonic analysis	6 ECTS
	087AA	Higher algebra A	6 ECTS
	088AA	Higher algebra B	6 ECTS
	798AA	Higher Analysis A	6 ECTS
	799AA	Higher Analysis B	6 ECTS
	186AA	History of ancient mathematics and its tradition	6 ECTS
	106AA	Holomorphic dynamics	6 ECTS
	086AA	Homological algebra	6 ECTS
	105AA	Hyperbolic dynamics	6 ECTS
	556AA	Hyperbolic equations	6 ECTS
	125AA	Hyperbolic geometry	6 ECTS
	076AA	Hystory of Mathematics	6 ECTS
	609AA	Introduction to geometric measure theory	6 ECTS
	133AA	Introduction to p-adic analysis	6 ECTS
	018BB	Introduction to quantum mechanics	6 ECTS
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	6 ECTS
	807AA	L functions	6 ECTS
	089AA	Lie algebras and Lie groups	6 ECTS
	705AA	Linear algebraic groups	6 ECTS
	085AA	Linear and multilinear algebra.	6 ECTS
	152AA	Linear and nonlinear waves:	6 ECTS
	228AA	Low-dimensional topology and geometry	6 ECTS
	547AA	Mathematical analysis 3	6 ECTS
	796AA	Mathematical aspects in quantum computing	6 ECTS
	064AA	Mathematical Logic	6 ECTS
	147AA	Mathematical methods in Cryptography	6 ECTS
	559AA	Mathematical models in biomedicine and mathematical physics	6 ECTS
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	670AA	Mathematics for Teaching Middle School Part A	6 ECTS
	671AA	Mathematics for Teaching Middle School Part B	6 ECTS
	111AA	Math Physics	6 ECTS
	219AA	Measure theory	6 ECTS
	775AA	Methods of harmonic analysis in nonlinear analysis	6 ECTS
	094AA	Microlocal analysis	6 ECTS
	187AA	Minimal Surfaces	6 ECTS
	213AA	Model Theory.	6 ECTS
	113AA	Modular forms	6 ECTS
	698AA	Noncommutative algebra	6 ECTS
	095AA	Nonlinear analysis	6 ECTS
	552AA	Nonlinear capacity, variational inequalities and applications	6 ECTS
	550AA	Non-standard analysis	6 ECTS
	150AA	Numerical methods for Fourier analysis.	6 ECTS
	149AA	Numerical methods for graphics.	6 ECTS
	148AA	Numerical methods for Markov chains.	6 ECTS
	067AA	Numerical Methods for Ordinary Differential Equations	6 ECTS
	795AA	Numerical methods for partial differential equations	6 ECTS
	072AA	Operational research	6 ECTS
	611AA	Operational research and communication and transport nets.	6 ECTS
	216AA	Optimal control theory	6 ECTS
	101AA	Orbital determination	6 ECTS
	108AA	Ordinary differential equations	6 ECTS
	156AA	Origins and development of modern mathematics	6 ECTS
	781AA	p-adic Galois respresentations	6 ECTS
	557AA	Parabolic equations	6 ECTS
	545AA	Partial differential equations	6 ECTS
	553AA	Partial differential equations 2	6 ECTS
	015BB	Physics Complements	6 ECTS
	243BB	Physics III	6 ECTS
	247BB	Physics lab for teaching	6 ECTS
	703AA	Post-quantum cryptography	6 ECTS
	070AA	Probability	6 ECTS
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	166AA	Problem solving	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	6 ECTS
	551AA	Real analysis	6 ECTS
	126AA	Real geometry A	6 ECTS
	127AA	Real geometry B	6 ECTS
	128AA	Real geometry C	6 ECTS
	581AA	Relativistic mechanics	6 ECTS
	130AA	Riemannian geometry	6 ECTS
	044AA	Scientific Computing	6 ECTS
	215AA	Semigroup theory	6 ECTS
	767AA	Set Theory A	6 ECTS
	778AA	Set Theory B	6 ECTS
	794AA	Sobolev spaces	6 ECTS
	144AA	Space mechanics	6 ECTS
	114AA	Special functions	6 ECTS
	555AA	Stochastic differential equations and applications	6 ECTS
	071AA	Stochastic processes	6 ECTS
	185AA	Symmetric spaces	6 ECTS
	131AA	Symplectic geometry	6 ECTS
	201AA	Technologies for education	6 ECTS
	806AA	Theories in Mathematics education	6 ECTS
	577AA	Theory and methods of optimization	6 ECTS
	221AA	Theory of functions	6 ECTS
	151AA	Topological methods for differential equations	6 ECTS
	068AA	Topological methods in the global analysis	6 ECTS
	230AA	Ultrafilters and nonstandard methods	6 ECTS
Group ModAppl - Choice of 12 ECTS from:
	145AA	Advanced mechanics	6 ECTS
	669AA	Advanced Statistics	6 ECTS
	146AA	Approximation methods	6 ECTS
	142AA	Celestial mechanics	6 ECTS
	699AA	Data Analysis	6 ECTS
	074AA	Dynamical systems	6 ECTS
	580AA	Dynamics of the solar system	6 ECTS
	051AA	Elements of celestial mechanics	6 ECTS
	211AA	Game theory.	6 ECTS
	796AA	Mathematical aspects in quantum computing	6 ECTS
	075AA	Mathematical statistics	6 ECTS
	111AA	Math Physics	6 ECTS
	149AA	Numerical methods for graphics.	6 ECTS
	148AA	Numerical methods for Markov chains.	6 ECTS
	067AA	Numerical Methods for Ordinary Differential Equations	6 ECTS
	795AA	Numerical methods for partial differential equations	6 ECTS
	072AA	Operational research	6 ECTS
	101AA	Orbital determination	6 ECTS
	070AA	Probability	6 ECTS
	575AA	Rational mechanics	6 ECTS
	044AA	Scientific Computing	6 ECTS
	144AA	Space mechanics	6 ECTS
	577AA	Theory and methods of optimization	6 ECTS
Group ModTeor - Choice of 12 ECTS from:
	232AA	3-manifolds	6 ECTS
	038AA	Algebra 2	6 ECTS
	797AA	Algebraic combinatorics	6 ECTS
	115AA	Algebraic geometry A	6 ECTS
	116AA	Algebraic geometry B	6 ECTS
	117AA	Algebraic geometry C	6 ECTS
	077AA	Algebraic number theory 1	6 ECTS
	777AA	Algebraic topology A	6 ECTS
	766AA	Algebraic topology B	6 ECTS
	204AA	Analytic number theory A	6 ECTS
	210AA	Automated control theory	6 ECTS
	096AA	Calculus of variations A	6 ECTS
	091AA	Complex analysis A	6 ECTS
	123AA	Complex differential geometry	6 ECTS
	082AA	Computational commutative algebra and algebraic geometry	6 ECTS
	045AA	Computer algebra	6 ECTS
	083AA	Computer algebra A	6 ECTS
	084AA	Computer algebra B.	6 ECTS
	093AA	Convex analysis	6 ECTS
	055AA	Differential geometry and topology	6 ECTS
	227AA	Differential topology	6 ECTS
	080AA	Elementary number theory	6 ECTS
	049AA	Elements of algebraic geometry	6 ECTS
	054AA	Elements of algebraic topology	6 ECTS
	047AA	Elements of calculus of variations	6 ECTS
	046AA	Elements of complex analysis	6 ECTS
	053AA	Elements of Set Theory	6 ECTS
	109AA	Elliptic equations	6 ECTS
	554AA	Equations of fluid mechanics	6 ECTS
	168AA	Evolution problems	6 ECTS
	078AA	Field and Galois theories	6 ECTS
	124AA	Geometry and topology of surfaces	6 ECTS
	057AA	Groups and representations	6 ECTS
	090AA	Harmonic analysis	6 ECTS
	087AA	Higher algebra A	6 ECTS
	088AA	Higher algebra B	6 ECTS
	798AA	Higher Analysis A	6 ECTS
	799AA	Higher Analysis B	6 ECTS
	106AA	Holomorphic dynamics	6 ECTS
	556AA	Hyperbolic equations	6 ECTS
	125AA	Hyperbolic geometry	6 ECTS
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	6 ECTS
	228AA	Low-dimensional topology and geometry	6 ECTS
	547AA	Mathematical analysis 3	6 ECTS
	064AA	Mathematical Logic	6 ECTS
	219AA	Measure theory	6 ECTS
	213AA	Model Theory.	6 ECTS
	095AA	Nonlinear analysis	6 ECTS
	545AA	Partial differential equations	6 ECTS
	553AA	Partial differential equations 2	6 ECTS
	126AA	Real geometry A	6 ECTS
	127AA	Real geometry B	6 ECTS
	130AA	Riemannian geometry	6 ECTS
	767AA	Set Theory A	6 ECTS
	778AA	Set Theory B	6 ECTS
	794AA	Sobolev spaces	6 ECTS
	068AA	Topological methods in the global analysis	6 ECTS
	230AA	Ultrafilters and nonstandard methods	6 ECTS
Year 2 (2024/2025)
1227Z	Final proof		27 ECTS
	Free choice		6 ECTS
Group IstTeor - Choice of 11 ECTS from:
	769AA	Principles of algebra	11 ECTS
	768AA	Principles of geometry	11 ECTS
	770AA	Principles of mathematical analysis	11 ECTS
Group ModAffInt - Choice of 18 ECTS from:
	231AA	2-manifolds	6 ECTS
	232AA	3-manifolds	6 ECTS
	233AA	4-manifolds	6 ECTS
	145AA	Advanced mechanics	6 ECTS
	107AA	Advanced numerical linear algebra	6 ECTS
	560AA	Advanced probability	6 ECTS
	669AA	Advanced Statistics	6 ECTS
	037AA	Algebra 1	6 ECTS
	038AA	Algebra 2	6 ECTS
	797AA	Algebraic combinatorics	6 ECTS
	115AA	Algebraic geometry A	6 ECTS
	116AA	Algebraic geometry B	6 ECTS
	117AA	Algebraic geometry C	6 ECTS
	118AA	Algebraic geometry D	6 ECTS
	119AA	Algebraic geometry E	6 ECTS
	120AA	Algebraic geometry F	6 ECTS
	608AA	Algebraic geometry G	6 ECTS
	077AA	Algebraic number theory 1	6 ECTS
	202AA	Algebraic number theory 2	6 ECTS
	706AA	Algebraic number theory 3	6 ECTS
	777AA	Algebraic topology A	6 ECTS
	766AA	Algebraic topology B	6 ECTS
	039AA	Algorithms and data structure	6 ECTS
	549AA	Analysis in metric spaces	6 ECTS
	204AA	Analytic number theory A	6 ECTS
	205AA	Analytic number theory B	6 ECTS
	701AA	Applications of Differential Equations in Biomedicine	6 ECTS
	700AA	Applications of fluid dynamics in biomedicine	6 ECTS
	146AA	Approximation methods	6 ECTS
	210AA	Automated control theory	6 ECTS
	096AA	Calculus of variations A	6 ECTS
	097AA	Calculus of variations B	6 ECTS
	220AA	Category theory	6 ECTS
	142AA	Celestial mechanics	6 ECTS
	209AA	Coding theory	6 ECTS
	079AA	Coding theory and cryptography	6 ECTS
	610AA	Combinatorial optimization	6 ECTS
	582AA	Complements of mathematics education	6 ECTS
	091AA	Complex analysis A	6 ECTS
	092AA	Complex analysis B	6 ECTS
	123AA	Complex differential geometry	6 ECTS
	217AA	Computability Theory	6 ECTS
	082AA	Computational commutative algebra and algebraic geometry	6 ECTS
	129AA	Computational real geometry	6 ECTS
	045AA	Computer algebra	6 ECTS
	083AA	Computer algebra A	6 ECTS
	084AA	Computer algebra B.	6 ECTS
	122AA	Contact geometry	6 ECTS
	143AA	Continuous mechanics	6 ECTS
	093AA	Convex analysis	6 ECTS
	132AA	Coxeter Groups	6 ECTS
	098AA	Cyclotomic fields	6 ECTS
	699AA	Data Analysis	6 ECTS
	222AA	Descriptive complexity theory	6 ECTS
	528AA	Didactics of mathematics and new technologies	6 ECTS
	055AA	Differential geometry and topology	6 ECTS
	155AA	Differential operators and index theorems	6 ECTS
	227AA	Differential topology	6 ECTS
	171AA	Discrete dynamical systems	6 ECTS
	139AA	Discrete mathematics	6 ECTS
	074AA	Dynamical systems	6 ECTS
	580AA	Dynamics of the solar system	6 ECTS
	065AA	Elementary mathematics from an advanced standpoint: arithmetic	6 ECTS
	066AA	Elementary mathematics from an advanced standpoint: geometry	6 ECTS
	080AA	Elementary number theory	6 ECTS
	049AA	Elements of algebraic geometry	6 ECTS
	054AA	Elements of algebraic topology	6 ECTS
	514AA	Elements of calculus of homogeneous groups	6 ECTS
	047AA	Elements of calculus of variations	6 ECTS
	051AA	Elements of celestial mechanics	6 ECTS
	046AA	Elements of complex analysis	6 ECTS
	050AA	Elements of Mathematical Logic	6 ECTS
	052AA	Elements of probability and statistics	6 ECTS
	053AA	Elements of Set Theory	6 ECTS
	704AA	Elliptic curves	6 ECTS
	109AA	Elliptic equations	6 ECTS
	554AA	Equations of fluid mechanics	6 ECTS
	224AA	Ergodic theory	6 ECTS
	702AA	Étale cohomology	6 ECTS
	168AA	Evolution problems	6 ECTS
	078AA	Field and Galois theories	6 ECTS
	110AA	Financial Mathematics	6 ECTS
	112AA	Foundations of mathematics	6 ECTS
	099AA	Functional Analysis	6 ECTS
	172AA	Functional spaces	6 ECTS
	211AA	Game theory.	6 ECTS
	229AA	General topology	6 ECTS
	548AA	Geometric analysis	6 ECTS
	225AA	Geometric measure theory	6 ECTS
	124AA	Geometry and topology of surfaces	6 ECTS
	121AA	Geometry of metric spaces	6 ECTS
	057AA	Groups and representations	6 ECTS
	212AA	Group theory	6 ECTS
	090AA	Harmonic analysis	6 ECTS
	087AA	Higher algebra A	6 ECTS
	088AA	Higher algebra B	6 ECTS
	798AA	Higher Analysis A	6 ECTS
	799AA	Higher Analysis B	6 ECTS
	186AA	History of ancient mathematics and its tradition	6 ECTS
	106AA	Holomorphic dynamics	6 ECTS
	086AA	Homological algebra	6 ECTS
	105AA	Hyperbolic dynamics	6 ECTS
	556AA	Hyperbolic equations	6 ECTS
	125AA	Hyperbolic geometry	6 ECTS
	076AA	Hystory of Mathematics	6 ECTS
	609AA	Introduction to geometric measure theory	6 ECTS
	133AA	Introduction to p-adic analysis	6 ECTS
	018BB	Introduction to quantum mechanics	6 ECTS
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	6 ECTS
	807AA	L functions	6 ECTS
	089AA	Lie algebras and Lie groups	6 ECTS
	705AA	Linear algebraic groups	6 ECTS
	085AA	Linear and multilinear algebra.	6 ECTS
	152AA	Linear and nonlinear waves:	6 ECTS
	228AA	Low-dimensional topology and geometry	6 ECTS
	547AA	Mathematical analysis 3	6 ECTS
	796AA	Mathematical aspects in quantum computing	6 ECTS
	064AA	Mathematical Logic	6 ECTS
	147AA	Mathematical methods in Cryptography	6 ECTS
	559AA	Mathematical models in biomedicine and mathematical physics	6 ECTS
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	670AA	Mathematics for Teaching Middle School Part A	6 ECTS
	671AA	Mathematics for Teaching Middle School Part B	6 ECTS
	111AA	Math Physics	6 ECTS
	219AA	Measure theory	6 ECTS
	775AA	Methods of harmonic analysis in nonlinear analysis	6 ECTS
	094AA	Microlocal analysis	6 ECTS
	187AA	Minimal Surfaces	6 ECTS
	213AA	Model Theory.	6 ECTS
	113AA	Modular forms	6 ECTS
	698AA	Noncommutative algebra	6 ECTS
	095AA	Nonlinear analysis	6 ECTS
	552AA	Nonlinear capacity, variational inequalities and applications	6 ECTS
	550AA	Non-standard analysis	6 ECTS
	150AA	Numerical methods for Fourier analysis.	6 ECTS
	149AA	Numerical methods for graphics.	6 ECTS
	148AA	Numerical methods for Markov chains.	6 ECTS
	067AA	Numerical Methods for Ordinary Differential Equations	6 ECTS
	795AA	Numerical methods for partial differential equations	6 ECTS
	072AA	Operational research	6 ECTS
	611AA	Operational research and communication and transport nets.	6 ECTS
	216AA	Optimal control theory	6 ECTS
	101AA	Orbital determination	6 ECTS
	108AA	Ordinary differential equations	6 ECTS
	156AA	Origins and development of modern mathematics	6 ECTS
	781AA	p-adic Galois respresentations	6 ECTS
	557AA	Parabolic equations	6 ECTS
	545AA	Partial differential equations	6 ECTS
	553AA	Partial differential equations 2	6 ECTS
	015BB	Physics Complements	6 ECTS
	243BB	Physics III	6 ECTS
	247BB	Physics lab for teaching	6 ECTS
	703AA	Post-quantum cryptography	6 ECTS
	070AA	Probability	6 ECTS
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	166AA	Problem solving	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	6 ECTS
	551AA	Real analysis	6 ECTS
	126AA	Real geometry A	6 ECTS
	127AA	Real geometry B	6 ECTS
	128AA	Real geometry C	6 ECTS
	581AA	Relativistic mechanics	6 ECTS
	130AA	Riemannian geometry	6 ECTS
	044AA	Scientific Computing	6 ECTS
	215AA	Semigroup theory	6 ECTS
	767AA	Set Theory A	6 ECTS
	778AA	Set Theory B	6 ECTS
	794AA	Sobolev spaces	6 ECTS
	144AA	Space mechanics	6 ECTS
	114AA	Special functions	6 ECTS
	555AA	Stochastic differential equations and applications	6 ECTS
	071AA	Stochastic processes	6 ECTS
	185AA	Symmetric spaces	6 ECTS
	131AA	Symplectic geometry	6 ECTS
	201AA	Technologies for education	6 ECTS
	806AA	Theories in Mathematics education	6 ECTS
	577AA	Theory and methods of optimization	6 ECTS
	221AA	Theory of functions	6 ECTS
	151AA	Topological methods for differential equations	6 ECTS
	068AA	Topological methods in the global analysis	6 ECTS
	230AA	Ultrafilters and nonstandard methods	6 ECTS

Track Didattico

Year 1 (2023/2024)
	Free choice		6 ECTS
771AA	Principles of mathematics education		11 ECTS
Group IstTeor - Choice of 11 ECTS from:
	769AA	Principles of algebra	11 ECTS
	768AA	Principles of geometry	11 ECTS
	770AA	Principles of mathematical analysis	11 ECTS
Group ModAffInt - Choice of 6 ECTS from:
	231AA	2-manifolds	6 ECTS
	232AA	3-manifolds	6 ECTS
	233AA	4-manifolds	6 ECTS
	145AA	Advanced mechanics	6 ECTS
	107AA	Advanced numerical linear algebra	6 ECTS
	560AA	Advanced probability	6 ECTS
	669AA	Advanced Statistics	6 ECTS
	037AA	Algebra 1	6 ECTS
	038AA	Algebra 2	6 ECTS
	797AA	Algebraic combinatorics	6 ECTS
	115AA	Algebraic geometry A	6 ECTS
	116AA	Algebraic geometry B	6 ECTS
	117AA	Algebraic geometry C	6 ECTS
	118AA	Algebraic geometry D	6 ECTS
	119AA	Algebraic geometry E	6 ECTS
	120AA	Algebraic geometry F	6 ECTS
	608AA	Algebraic geometry G	6 ECTS
	077AA	Algebraic number theory 1	6 ECTS
	202AA	Algebraic number theory 2	6 ECTS
	706AA	Algebraic number theory 3	6 ECTS
	777AA	Algebraic topology A	6 ECTS
	766AA	Algebraic topology B	6 ECTS
	039AA	Algorithms and data structure	6 ECTS
	549AA	Analysis in metric spaces	6 ECTS
	204AA	Analytic number theory A	6 ECTS
	205AA	Analytic number theory B	6 ECTS
	701AA	Applications of Differential Equations in Biomedicine	6 ECTS
	700AA	Applications of fluid dynamics in biomedicine	6 ECTS
	146AA	Approximation methods	6 ECTS
	210AA	Automated control theory	6 ECTS
	096AA	Calculus of variations A	6 ECTS
	097AA	Calculus of variations B	6 ECTS
	220AA	Category theory	6 ECTS
	142AA	Celestial mechanics	6 ECTS
	209AA	Coding theory	6 ECTS
	079AA	Coding theory and cryptography	6 ECTS
	610AA	Combinatorial optimization	6 ECTS
	582AA	Complements of mathematics education	6 ECTS
	091AA	Complex analysis A	6 ECTS
	092AA	Complex analysis B	6 ECTS
	123AA	Complex differential geometry	6 ECTS
	217AA	Computability Theory	6 ECTS
	082AA	Computational commutative algebra and algebraic geometry	6 ECTS
	129AA	Computational real geometry	6 ECTS
	045AA	Computer algebra	6 ECTS
	083AA	Computer algebra A	6 ECTS
	084AA	Computer algebra B.	6 ECTS
	122AA	Contact geometry	6 ECTS
	143AA	Continuous mechanics	6 ECTS
	093AA	Convex analysis	6 ECTS
	132AA	Coxeter Groups	6 ECTS
	098AA	Cyclotomic fields	6 ECTS
	699AA	Data Analysis	6 ECTS
	222AA	Descriptive complexity theory	6 ECTS
	528AA	Didactics of mathematics and new technologies	6 ECTS
	055AA	Differential geometry and topology	6 ECTS
	155AA	Differential operators and index theorems	6 ECTS
	227AA	Differential topology	6 ECTS
	171AA	Discrete dynamical systems	6 ECTS
	139AA	Discrete mathematics	6 ECTS
	074AA	Dynamical systems	6 ECTS
	580AA	Dynamics of the solar system	6 ECTS
	065AA	Elementary mathematics from an advanced standpoint: arithmetic	6 ECTS
	066AA	Elementary mathematics from an advanced standpoint: geometry	6 ECTS
	080AA	Elementary number theory	6 ECTS
	049AA	Elements of algebraic geometry	6 ECTS
	054AA	Elements of algebraic topology	6 ECTS
	514AA	Elements of calculus of homogeneous groups	6 ECTS
	047AA	Elements of calculus of variations	6 ECTS
	051AA	Elements of celestial mechanics	6 ECTS
	046AA	Elements of complex analysis	6 ECTS
	050AA	Elements of Mathematical Logic	6 ECTS
	052AA	Elements of probability and statistics	6 ECTS
	053AA	Elements of Set Theory	6 ECTS
	704AA	Elliptic curves	6 ECTS
	109AA	Elliptic equations	6 ECTS
	554AA	Equations of fluid mechanics	6 ECTS
	224AA	Ergodic theory	6 ECTS
	702AA	Étale cohomology	6 ECTS
	168AA	Evolution problems	6 ECTS
	078AA	Field and Galois theories	6 ECTS
	110AA	Financial Mathematics	6 ECTS
	112AA	Foundations of mathematics	6 ECTS
	099AA	Functional Analysis	6 ECTS
	172AA	Functional spaces	6 ECTS
	211AA	Game theory.	6 ECTS
	229AA	General topology	6 ECTS
	548AA	Geometric analysis	6 ECTS
	225AA	Geometric measure theory	6 ECTS
	124AA	Geometry and topology of surfaces	6 ECTS
	121AA	Geometry of metric spaces	6 ECTS
	057AA	Groups and representations	6 ECTS
	212AA	Group theory	6 ECTS
	090AA	Harmonic analysis	6 ECTS
	087AA	Higher algebra A	6 ECTS
	088AA	Higher algebra B	6 ECTS
	798AA	Higher Analysis A	6 ECTS
	799AA	Higher Analysis B	6 ECTS
	186AA	History of ancient mathematics and its tradition	6 ECTS
	106AA	Holomorphic dynamics	6 ECTS
	086AA	Homological algebra	6 ECTS
	105AA	Hyperbolic dynamics	6 ECTS
	556AA	Hyperbolic equations	6 ECTS
	125AA	Hyperbolic geometry	6 ECTS
	076AA	Hystory of Mathematics	6 ECTS
	609AA	Introduction to geometric measure theory	6 ECTS
	133AA	Introduction to p-adic analysis	6 ECTS
	018BB	Introduction to quantum mechanics	6 ECTS
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	6 ECTS
	807AA	L functions	6 ECTS
	089AA	Lie algebras and Lie groups	6 ECTS
	705AA	Linear algebraic groups	6 ECTS
	085AA	Linear and multilinear algebra.	6 ECTS
	152AA	Linear and nonlinear waves:	6 ECTS
	228AA	Low-dimensional topology and geometry	6 ECTS
	547AA	Mathematical analysis 3	6 ECTS
	796AA	Mathematical aspects in quantum computing	6 ECTS
	064AA	Mathematical Logic	6 ECTS
	147AA	Mathematical methods in Cryptography	6 ECTS
	559AA	Mathematical models in biomedicine and mathematical physics	6 ECTS
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	670AA	Mathematics for Teaching Middle School Part A	6 ECTS
	671AA	Mathematics for Teaching Middle School Part B	6 ECTS
	111AA	Math Physics	6 ECTS
	219AA	Measure theory	6 ECTS
	775AA	Methods of harmonic analysis in nonlinear analysis	6 ECTS
	094AA	Microlocal analysis	6 ECTS
	187AA	Minimal Surfaces	6 ECTS
	213AA	Model Theory.	6 ECTS
	113AA	Modular forms	6 ECTS
	698AA	Noncommutative algebra	6 ECTS
	095AA	Nonlinear analysis	6 ECTS
	552AA	Nonlinear capacity, variational inequalities and applications	6 ECTS
	550AA	Non-standard analysis	6 ECTS
	150AA	Numerical methods for Fourier analysis.	6 ECTS
	149AA	Numerical methods for graphics.	6 ECTS
	148AA	Numerical methods for Markov chains.	6 ECTS
	067AA	Numerical Methods for Ordinary Differential Equations	6 ECTS
	795AA	Numerical methods for partial differential equations	6 ECTS
	072AA	Operational research	6 ECTS
	611AA	Operational research and communication and transport nets.	6 ECTS
	216AA	Optimal control theory	6 ECTS
	101AA	Orbital determination	6 ECTS
	108AA	Ordinary differential equations	6 ECTS
	156AA	Origins and development of modern mathematics	6 ECTS
	781AA	p-adic Galois respresentations	6 ECTS
	557AA	Parabolic equations	6 ECTS
	545AA	Partial differential equations	6 ECTS
	553AA	Partial differential equations 2	6 ECTS
	015BB	Physics Complements	6 ECTS
	243BB	Physics III	6 ECTS
	247BB	Physics lab for teaching	6 ECTS
	703AA	Post-quantum cryptography	6 ECTS
	070AA	Probability	6 ECTS
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	166AA	Problem solving	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	6 ECTS
	551AA	Real analysis	6 ECTS
	126AA	Real geometry A	6 ECTS
	127AA	Real geometry B	6 ECTS
	128AA	Real geometry C	6 ECTS
	581AA	Relativistic mechanics	6 ECTS
	130AA	Riemannian geometry	6 ECTS
	044AA	Scientific Computing	6 ECTS
	215AA	Semigroup theory	6 ECTS
	767AA	Set Theory A	6 ECTS
	778AA	Set Theory B	6 ECTS
	794AA	Sobolev spaces	6 ECTS
	144AA	Space mechanics	6 ECTS
	114AA	Special functions	6 ECTS
	555AA	Stochastic differential equations and applications	6 ECTS
	071AA	Stochastic processes	6 ECTS
	185AA	Symmetric spaces	6 ECTS
	131AA	Symplectic geometry	6 ECTS
	201AA	Technologies for education	6 ECTS
	806AA	Theories in Mathematics education	6 ECTS
	577AA	Theory and methods of optimization	6 ECTS
	221AA	Theory of functions	6 ECTS
	151AA	Topological methods for differential equations	6 ECTS
	068AA	Topological methods in the global analysis	6 ECTS
	230AA	Ultrafilters and nonstandard methods	6 ECTS
Group ModDidStor - Choice of 12 ECTS from:
	582AA	Complements of mathematics education	6 ECTS
	528AA	Didactics of mathematics and new technologies	6 ECTS
	065AA	Elementary mathematics from an advanced standpoint: arithmetic	6 ECTS
	066AA	Elementary mathematics from an advanced standpoint: geometry	6 ECTS
	186AA	History of ancient mathematics and its tradition	6 ECTS
	076AA	Hystory of Mathematics	6 ECTS
	156AA	Origins and development of modern mathematics	6 ECTS
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	201AA	Technologies for education	6 ECTS
	806AA	Theories in Mathematics education	6 ECTS
Group ModTeor - Choice of 12 ECTS from:
	232AA	3-manifolds	6 ECTS
	038AA	Algebra 2	6 ECTS
	797AA	Algebraic combinatorics	6 ECTS
	115AA	Algebraic geometry A	6 ECTS
	116AA	Algebraic geometry B	6 ECTS
	117AA	Algebraic geometry C	6 ECTS
	077AA	Algebraic number theory 1	6 ECTS
	777AA	Algebraic topology A	6 ECTS
	766AA	Algebraic topology B	6 ECTS
	204AA	Analytic number theory A	6 ECTS
	210AA	Automated control theory	6 ECTS
	096AA	Calculus of variations A	6 ECTS
	091AA	Complex analysis A	6 ECTS
	123AA	Complex differential geometry	6 ECTS
	082AA	Computational commutative algebra and algebraic geometry	6 ECTS
	045AA	Computer algebra	6 ECTS
	083AA	Computer algebra A	6 ECTS
	084AA	Computer algebra B.	6 ECTS
	093AA	Convex analysis	6 ECTS
	055AA	Differential geometry and topology	6 ECTS
	227AA	Differential topology	6 ECTS
	080AA	Elementary number theory	6 ECTS
	049AA	Elements of algebraic geometry	6 ECTS
	054AA	Elements of algebraic topology	6 ECTS
	047AA	Elements of calculus of variations	6 ECTS
	046AA	Elements of complex analysis	6 ECTS
	053AA	Elements of Set Theory	6 ECTS
	109AA	Elliptic equations	6 ECTS
	554AA	Equations of fluid mechanics	6 ECTS
	168AA	Evolution problems	6 ECTS
	078AA	Field and Galois theories	6 ECTS
	124AA	Geometry and topology of surfaces	6 ECTS
	057AA	Groups and representations	6 ECTS
	090AA	Harmonic analysis	6 ECTS
	087AA	Higher algebra A	6 ECTS
	088AA	Higher algebra B	6 ECTS
	798AA	Higher Analysis A	6 ECTS
	799AA	Higher Analysis B	6 ECTS
	106AA	Holomorphic dynamics	6 ECTS
	556AA	Hyperbolic equations	6 ECTS
	125AA	Hyperbolic geometry	6 ECTS
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	6 ECTS
	228AA	Low-dimensional topology and geometry	6 ECTS
	547AA	Mathematical analysis 3	6 ECTS
	064AA	Mathematical Logic	6 ECTS
	219AA	Measure theory	6 ECTS
	213AA	Model Theory.	6 ECTS
	095AA	Nonlinear analysis	6 ECTS
	545AA	Partial differential equations	6 ECTS
	553AA	Partial differential equations 2	6 ECTS
	126AA	Real geometry A	6 ECTS
	127AA	Real geometry B	6 ECTS
	130AA	Riemannian geometry	6 ECTS
	767AA	Set Theory A	6 ECTS
	778AA	Set Theory B	6 ECTS
	794AA	Sobolev spaces	6 ECTS
	068AA	Topological methods in the global analysis	6 ECTS
	230AA	Ultrafilters and nonstandard methods	6 ECTS
Year 2 (2024/2025)
1227Z	Final proof		27 ECTS
	Free choice		6 ECTS
Group IstAppTeor - Choice of 11 ECTS from:
	774AA	Fundamentals of mathematical physics	11 ECTS
	769AA	Principles of algebra	11 ECTS
	768AA	Principles of geometry	11 ECTS
	770AA	Principles of mathematical analysis	11 ECTS
	772AA	Principles of numerical analysis	11 ECTS
	773AA	Principles of probability	11 ECTS
Group ModAffInt - Choice of 12 ECTS from:
	231AA	2-manifolds	6 ECTS
	232AA	3-manifolds	6 ECTS
	233AA	4-manifolds	6 ECTS
	145AA	Advanced mechanics	6 ECTS
	107AA	Advanced numerical linear algebra	6 ECTS
	560AA	Advanced probability	6 ECTS
	669AA	Advanced Statistics	6 ECTS
	037AA	Algebra 1	6 ECTS
	038AA	Algebra 2	6 ECTS
	797AA	Algebraic combinatorics	6 ECTS
	115AA	Algebraic geometry A	6 ECTS
	116AA	Algebraic geometry B	6 ECTS
	117AA	Algebraic geometry C	6 ECTS
	118AA	Algebraic geometry D	6 ECTS
	119AA	Algebraic geometry E	6 ECTS
	120AA	Algebraic geometry F	6 ECTS
	608AA	Algebraic geometry G	6 ECTS
	077AA	Algebraic number theory 1	6 ECTS
	202AA	Algebraic number theory 2	6 ECTS
	706AA	Algebraic number theory 3	6 ECTS
	777AA	Algebraic topology A	6 ECTS
	766AA	Algebraic topology B	6 ECTS
	039AA	Algorithms and data structure	6 ECTS
	549AA	Analysis in metric spaces	6 ECTS
	204AA	Analytic number theory A	6 ECTS
	205AA	Analytic number theory B	6 ECTS
	701AA	Applications of Differential Equations in Biomedicine	6 ECTS
	700AA	Applications of fluid dynamics in biomedicine	6 ECTS
	146AA	Approximation methods	6 ECTS
	210AA	Automated control theory	6 ECTS
	096AA	Calculus of variations A	6 ECTS
	097AA	Calculus of variations B	6 ECTS
	220AA	Category theory	6 ECTS
	142AA	Celestial mechanics	6 ECTS
	209AA	Coding theory	6 ECTS
	079AA	Coding theory and cryptography	6 ECTS
	610AA	Combinatorial optimization	6 ECTS
	582AA	Complements of mathematics education	6 ECTS
	091AA	Complex analysis A	6 ECTS
	092AA	Complex analysis B	6 ECTS
	123AA	Complex differential geometry	6 ECTS
	217AA	Computability Theory	6 ECTS
	082AA	Computational commutative algebra and algebraic geometry	6 ECTS
	129AA	Computational real geometry	6 ECTS
	045AA	Computer algebra	6 ECTS
	083AA	Computer algebra A	6 ECTS
	084AA	Computer algebra B.	6 ECTS
	122AA	Contact geometry	6 ECTS
	143AA	Continuous mechanics	6 ECTS
	093AA	Convex analysis	6 ECTS
	132AA	Coxeter Groups	6 ECTS
	098AA	Cyclotomic fields	6 ECTS
	699AA	Data Analysis	6 ECTS
	222AA	Descriptive complexity theory	6 ECTS
	528AA	Didactics of mathematics and new technologies	6 ECTS
	055AA	Differential geometry and topology	6 ECTS
	155AA	Differential operators and index theorems	6 ECTS
	227AA	Differential topology	6 ECTS
	171AA	Discrete dynamical systems	6 ECTS
	139AA	Discrete mathematics	6 ECTS
	074AA	Dynamical systems	6 ECTS
	580AA	Dynamics of the solar system	6 ECTS
	065AA	Elementary mathematics from an advanced standpoint: arithmetic	6 ECTS
	066AA	Elementary mathematics from an advanced standpoint: geometry	6 ECTS
	080AA	Elementary number theory	6 ECTS
	049AA	Elements of algebraic geometry	6 ECTS
	054AA	Elements of algebraic topology	6 ECTS
	514AA	Elements of calculus of homogeneous groups	6 ECTS
	047AA	Elements of calculus of variations	6 ECTS
	051AA	Elements of celestial mechanics	6 ECTS
	046AA	Elements of complex analysis	6 ECTS
	050AA	Elements of Mathematical Logic	6 ECTS
	052AA	Elements of probability and statistics	6 ECTS
	053AA	Elements of Set Theory	6 ECTS
	704AA	Elliptic curves	6 ECTS
	109AA	Elliptic equations	6 ECTS
	554AA	Equations of fluid mechanics	6 ECTS
	224AA	Ergodic theory	6 ECTS
	702AA	Étale cohomology	6 ECTS
	168AA	Evolution problems	6 ECTS
	078AA	Field and Galois theories	6 ECTS
	110AA	Financial Mathematics	6 ECTS
	112AA	Foundations of mathematics	6 ECTS
	099AA	Functional Analysis	6 ECTS
	172AA	Functional spaces	6 ECTS
	211AA	Game theory.	6 ECTS
	229AA	General topology	6 ECTS
	548AA	Geometric analysis	6 ECTS
	225AA	Geometric measure theory	6 ECTS
	124AA	Geometry and topology of surfaces	6 ECTS
	121AA	Geometry of metric spaces	6 ECTS
	057AA	Groups and representations	6 ECTS
	212AA	Group theory	6 ECTS
	090AA	Harmonic analysis	6 ECTS
	087AA	Higher algebra A	6 ECTS
	088AA	Higher algebra B	6 ECTS
	798AA	Higher Analysis A	6 ECTS
	799AA	Higher Analysis B	6 ECTS
	186AA	History of ancient mathematics and its tradition	6 ECTS
	106AA	Holomorphic dynamics	6 ECTS
	086AA	Homological algebra	6 ECTS
	105AA	Hyperbolic dynamics	6 ECTS
	556AA	Hyperbolic equations	6 ECTS
	125AA	Hyperbolic geometry	6 ECTS
	076AA	Hystory of Mathematics	6 ECTS
	609AA	Introduction to geometric measure theory	6 ECTS
	133AA	Introduction to p-adic analysis	6 ECTS
	018BB	Introduction to quantum mechanics	6 ECTS
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	6 ECTS
	807AA	L functions	6 ECTS
	089AA	Lie algebras and Lie groups	6 ECTS
	705AA	Linear algebraic groups	6 ECTS
	085AA	Linear and multilinear algebra.	6 ECTS
	152AA	Linear and nonlinear waves:	6 ECTS
	228AA	Low-dimensional topology and geometry	6 ECTS
	547AA	Mathematical analysis 3	6 ECTS
	796AA	Mathematical aspects in quantum computing	6 ECTS
	064AA	Mathematical Logic	6 ECTS
	147AA	Mathematical methods in Cryptography	6 ECTS
	559AA	Mathematical models in biomedicine and mathematical physics	6 ECTS
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	670AA	Mathematics for Teaching Middle School Part A	6 ECTS
	671AA	Mathematics for Teaching Middle School Part B	6 ECTS
	111AA	Math Physics	6 ECTS
	219AA	Measure theory	6 ECTS
	775AA	Methods of harmonic analysis in nonlinear analysis	6 ECTS
	094AA	Microlocal analysis	6 ECTS
	187AA	Minimal Surfaces	6 ECTS
	213AA	Model Theory.	6 ECTS
	113AA	Modular forms	6 ECTS
	698AA	Noncommutative algebra	6 ECTS
	095AA	Nonlinear analysis	6 ECTS
	552AA	Nonlinear capacity, variational inequalities and applications	6 ECTS
	550AA	Non-standard analysis	6 ECTS
	150AA	Numerical methods for Fourier analysis.	6 ECTS
	149AA	Numerical methods for graphics.	6 ECTS
	148AA	Numerical methods for Markov chains.	6 ECTS
	067AA	Numerical Methods for Ordinary Differential Equations	6 ECTS
	795AA	Numerical methods for partial differential equations	6 ECTS
	072AA	Operational research	6 ECTS
	611AA	Operational research and communication and transport nets.	6 ECTS
	216AA	Optimal control theory	6 ECTS
	101AA	Orbital determination	6 ECTS
	108AA	Ordinary differential equations	6 ECTS
	156AA	Origins and development of modern mathematics	6 ECTS
	781AA	p-adic Galois respresentations	6 ECTS
	557AA	Parabolic equations	6 ECTS
	545AA	Partial differential equations	6 ECTS
	553AA	Partial differential equations 2	6 ECTS
	015BB	Physics Complements	6 ECTS
	243BB	Physics III	6 ECTS
	247BB	Physics lab for teaching	6 ECTS
	703AA	Post-quantum cryptography	6 ECTS
	070AA	Probability	6 ECTS
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	166AA	Problem solving	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	6 ECTS
	551AA	Real analysis	6 ECTS
	126AA	Real geometry A	6 ECTS
	127AA	Real geometry B	6 ECTS
	128AA	Real geometry C	6 ECTS
	581AA	Relativistic mechanics	6 ECTS
	130AA	Riemannian geometry	6 ECTS
	044AA	Scientific Computing	6 ECTS
	215AA	Semigroup theory	6 ECTS
	767AA	Set Theory A	6 ECTS
	778AA	Set Theory B	6 ECTS
	794AA	Sobolev spaces	6 ECTS
	144AA	Space mechanics	6 ECTS
	114AA	Special functions	6 ECTS
	555AA	Stochastic differential equations and applications	6 ECTS
	071AA	Stochastic processes	6 ECTS
	185AA	Symmetric spaces	6 ECTS
	131AA	Symplectic geometry	6 ECTS
	201AA	Technologies for education	6 ECTS
	806AA	Theories in Mathematics education	6 ECTS
	577AA	Theory and methods of optimization	6 ECTS
	221AA	Theory of functions	6 ECTS
	151AA	Topological methods for differential equations	6 ECTS
	068AA	Topological methods in the global analysis	6 ECTS
	230AA	Ultrafilters and nonstandard methods	6 ECTS
Group ModAffInt2 - Choice of 6 ECTS from:
	231AA	2-manifolds	6 ECTS
	232AA	3-manifolds	6 ECTS
	233AA	4-manifolds	6 ECTS
	145AA	Advanced mechanics	6 ECTS
	107AA	Advanced numerical linear algebra	6 ECTS
	560AA	Advanced probability	6 ECTS
	669AA	Advanced Statistics	6 ECTS
	037AA	Algebra 1	6 ECTS
	038AA	Algebra 2	6 ECTS
	797AA	Algebraic combinatorics	6 ECTS
	115AA	Algebraic geometry A	6 ECTS
	116AA	Algebraic geometry B	6 ECTS
	117AA	Algebraic geometry C	6 ECTS
	118AA	Algebraic geometry D	6 ECTS
	119AA	Algebraic geometry E	6 ECTS
	120AA	Algebraic geometry F	6 ECTS
	608AA	Algebraic geometry G	6 ECTS
	077AA	Algebraic number theory 1	6 ECTS
	202AA	Algebraic number theory 2	6 ECTS
	706AA	Algebraic number theory 3	6 ECTS
	777AA	Algebraic topology A	6 ECTS
	766AA	Algebraic topology B	6 ECTS
	039AA	Algorithms and data structure	6 ECTS
	549AA	Analysis in metric spaces	6 ECTS
	204AA	Analytic number theory A	6 ECTS
	205AA	Analytic number theory B	6 ECTS
	701AA	Applications of Differential Equations in Biomedicine	6 ECTS
	700AA	Applications of fluid dynamics in biomedicine	6 ECTS
	146AA	Approximation methods	6 ECTS
	210AA	Automated control theory	6 ECTS
	096AA	Calculus of variations A	6 ECTS
	097AA	Calculus of variations B	6 ECTS
	220AA	Category theory	6 ECTS
	142AA	Celestial mechanics	6 ECTS
	209AA	Coding theory	6 ECTS
	079AA	Coding theory and cryptography	6 ECTS
	610AA	Combinatorial optimization	6 ECTS
	091AA	Complex analysis A	6 ECTS
	092AA	Complex analysis B	6 ECTS
	123AA	Complex differential geometry	6 ECTS
	217AA	Computability Theory	6 ECTS
	082AA	Computational commutative algebra and algebraic geometry	6 ECTS
	129AA	Computational real geometry	6 ECTS
	045AA	Computer algebra	6 ECTS
	083AA	Computer algebra A	6 ECTS
	084AA	Computer algebra B.	6 ECTS
	122AA	Contact geometry	6 ECTS
	143AA	Continuous mechanics	6 ECTS
	093AA	Convex analysis	6 ECTS
	132AA	Coxeter Groups	6 ECTS
	098AA	Cyclotomic fields	6 ECTS
	699AA	Data Analysis	6 ECTS
	222AA	Descriptive complexity theory	6 ECTS
	055AA	Differential geometry and topology	6 ECTS
	155AA	Differential operators and index theorems	6 ECTS
	227AA	Differential topology	6 ECTS
	171AA	Discrete dynamical systems	6 ECTS
	139AA	Discrete mathematics	6 ECTS
	074AA	Dynamical systems	6 ECTS
	580AA	Dynamics of the solar system	6 ECTS
	080AA	Elementary number theory	6 ECTS
	049AA	Elements of algebraic geometry	6 ECTS
	054AA	Elements of algebraic topology	6 ECTS
	514AA	Elements of calculus of homogeneous groups	6 ECTS
	047AA	Elements of calculus of variations	6 ECTS
	051AA	Elements of celestial mechanics	6 ECTS
	046AA	Elements of complex analysis	6 ECTS
	050AA	Elements of Mathematical Logic	6 ECTS
	052AA	Elements of probability and statistics	6 ECTS
	053AA	Elements of Set Theory	6 ECTS
	704AA	Elliptic curves	6 ECTS
	109AA	Elliptic equations	6 ECTS
	554AA	Equations of fluid mechanics	6 ECTS
	224AA	Ergodic theory	6 ECTS
	702AA	Étale cohomology	6 ECTS
	168AA	Evolution problems	6 ECTS
	078AA	Field and Galois theories	6 ECTS
	110AA	Financial Mathematics	6 ECTS
	112AA	Foundations of mathematics	6 ECTS
	099AA	Functional Analysis	6 ECTS
	172AA	Functional spaces	6 ECTS
	211AA	Game theory.	6 ECTS
	229AA	General topology	6 ECTS
	548AA	Geometric analysis	6 ECTS
	225AA	Geometric measure theory	6 ECTS
	124AA	Geometry and topology of surfaces	6 ECTS
	121AA	Geometry of metric spaces	6 ECTS
	057AA	Groups and representations	6 ECTS
	212AA	Group theory	6 ECTS
	090AA	Harmonic analysis	6 ECTS
	087AA	Higher algebra A	6 ECTS
	088AA	Higher algebra B	6 ECTS
	798AA	Higher Analysis A	6 ECTS
	799AA	Higher Analysis B	6 ECTS
	106AA	Holomorphic dynamics	6 ECTS
	086AA	Homological algebra	6 ECTS
	105AA	Hyperbolic dynamics	6 ECTS
	556AA	Hyperbolic equations	6 ECTS
	125AA	Hyperbolic geometry	6 ECTS
	609AA	Introduction to geometric measure theory	6 ECTS
	133AA	Introduction to p-adic analysis	6 ECTS
	018BB	Introduction to quantum mechanics	6 ECTS
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	6 ECTS
	807AA	L functions	6 ECTS
	089AA	Lie algebras and Lie groups	6 ECTS
	705AA	Linear algebraic groups	6 ECTS
	085AA	Linear and multilinear algebra.	6 ECTS
	152AA	Linear and nonlinear waves:	6 ECTS
	228AA	Low-dimensional topology and geometry	6 ECTS
	547AA	Mathematical analysis 3	6 ECTS
	796AA	Mathematical aspects in quantum computing	6 ECTS
	064AA	Mathematical Logic	6 ECTS
	147AA	Mathematical methods in Cryptography	6 ECTS
	559AA	Mathematical models in biomedicine and mathematical physics	6 ECTS
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	111AA	Math Physics	6 ECTS
	219AA	Measure theory	6 ECTS
	775AA	Methods of harmonic analysis in nonlinear analysis	6 ECTS
	094AA	Microlocal analysis	6 ECTS
	187AA	Minimal Surfaces	6 ECTS
	213AA	Model Theory.	6 ECTS
	113AA	Modular forms	6 ECTS
	698AA	Noncommutative algebra	6 ECTS
	095AA	Nonlinear analysis	6 ECTS
	552AA	Nonlinear capacity, variational inequalities and applications	6 ECTS
	550AA	Non-standard analysis	6 ECTS
	150AA	Numerical methods for Fourier analysis.	6 ECTS
	149AA	Numerical methods for graphics.	6 ECTS
	148AA	Numerical methods for Markov chains.	6 ECTS
	067AA	Numerical Methods for Ordinary Differential Equations	6 ECTS
	795AA	Numerical methods for partial differential equations	6 ECTS
	072AA	Operational research	6 ECTS
	611AA	Operational research and communication and transport nets.	6 ECTS
	216AA	Optimal control theory	6 ECTS
	101AA	Orbital determination	6 ECTS
	108AA	Ordinary differential equations	6 ECTS
	781AA	p-adic Galois respresentations	6 ECTS
	557AA	Parabolic equations	6 ECTS
	545AA	Partial differential equations	6 ECTS
	553AA	Partial differential equations 2	6 ECTS
	015BB	Physics Complements	6 ECTS
	243BB	Physics III	6 ECTS
	703AA	Post-quantum cryptography	6 ECTS
	070AA	Probability	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	6 ECTS
	551AA	Real analysis	6 ECTS
	126AA	Real geometry A	6 ECTS
	127AA	Real geometry B	6 ECTS
	128AA	Real geometry C	6 ECTS
	581AA	Relativistic mechanics	6 ECTS
	130AA	Riemannian geometry	6 ECTS
	044AA	Scientific Computing	6 ECTS
	1226Z	Scientific Writing in English – Theory and Practice	6 ECTS
	215AA	Semigroup theory	6 ECTS
	767AA	Set Theory A	6 ECTS
	778AA	Set Theory B	6 ECTS
	794AA	Sobolev spaces	6 ECTS
	144AA	Space mechanics	6 ECTS
	114AA	Special functions	6 ECTS
	555AA	Stochastic differential equations and applications	6 ECTS
	071AA	Stochastic processes	6 ECTS
	185AA	Symmetric spaces	6 ECTS
	131AA	Symplectic geometry	6 ECTS
	577AA	Theory and methods of optimization	6 ECTS
	221AA	Theory of functions	6 ECTS
	151AA	Topological methods for differential equations	6 ECTS
	068AA	Topological methods in the global analysis	6 ECTS
	230AA	Ultrafilters and nonstandard methods	6 ECTS

Track Generale

Year 1 (2023/2024)
	Free choice		6 ECTS
Group IstAppl - Choice of 11 ECTS from:
	774AA	Fundamentals of mathematical physics	11 ECTS
	772AA	Principles of numerical analysis	11 ECTS
	773AA	Principles of probability	11 ECTS
Group IstTeor - Choice of 11 ECTS from:
	769AA	Principles of algebra	11 ECTS
	768AA	Principles of geometry	11 ECTS
	770AA	Principles of mathematical analysis	11 ECTS
Group ModAffInt - Choice of 6 ECTS from:
	231AA	2-manifolds	6 ECTS
	232AA	3-manifolds	6 ECTS
	233AA	4-manifolds	6 ECTS
	145AA	Advanced mechanics	6 ECTS
	107AA	Advanced numerical linear algebra	6 ECTS
	560AA	Advanced probability	6 ECTS
	669AA	Advanced Statistics	6 ECTS
	037AA	Algebra 1	6 ECTS
	038AA	Algebra 2	6 ECTS
	797AA	Algebraic combinatorics	6 ECTS
	115AA	Algebraic geometry A	6 ECTS
	116AA	Algebraic geometry B	6 ECTS
	117AA	Algebraic geometry C	6 ECTS
	118AA	Algebraic geometry D	6 ECTS
	119AA	Algebraic geometry E	6 ECTS
	120AA	Algebraic geometry F	6 ECTS
	608AA	Algebraic geometry G	6 ECTS
	077AA	Algebraic number theory 1	6 ECTS
	202AA	Algebraic number theory 2	6 ECTS
	706AA	Algebraic number theory 3	6 ECTS
	777AA	Algebraic topology A	6 ECTS
	766AA	Algebraic topology B	6 ECTS
	039AA	Algorithms and data structure	6 ECTS
	549AA	Analysis in metric spaces	6 ECTS
	204AA	Analytic number theory A	6 ECTS
	205AA	Analytic number theory B	6 ECTS
	701AA	Applications of Differential Equations in Biomedicine	6 ECTS
	700AA	Applications of fluid dynamics in biomedicine	6 ECTS
	146AA	Approximation methods	6 ECTS
	210AA	Automated control theory	6 ECTS
	096AA	Calculus of variations A	6 ECTS
	097AA	Calculus of variations B	6 ECTS
	220AA	Category theory	6 ECTS
	142AA	Celestial mechanics	6 ECTS
	209AA	Coding theory	6 ECTS
	079AA	Coding theory and cryptography	6 ECTS
	610AA	Combinatorial optimization	6 ECTS
	582AA	Complements of mathematics education	6 ECTS
	091AA	Complex analysis A	6 ECTS
	092AA	Complex analysis B	6 ECTS
	123AA	Complex differential geometry	6 ECTS
	217AA	Computability Theory	6 ECTS
	082AA	Computational commutative algebra and algebraic geometry	6 ECTS
	129AA	Computational real geometry	6 ECTS
	045AA	Computer algebra	6 ECTS
	083AA	Computer algebra A	6 ECTS
	084AA	Computer algebra B.	6 ECTS
	122AA	Contact geometry	6 ECTS
	143AA	Continuous mechanics	6 ECTS
	093AA	Convex analysis	6 ECTS
	132AA	Coxeter Groups	6 ECTS
	098AA	Cyclotomic fields	6 ECTS
	699AA	Data Analysis	6 ECTS
	222AA	Descriptive complexity theory	6 ECTS
	528AA	Didactics of mathematics and new technologies	6 ECTS
	055AA	Differential geometry and topology	6 ECTS
	155AA	Differential operators and index theorems	6 ECTS
	227AA	Differential topology	6 ECTS
	171AA	Discrete dynamical systems	6 ECTS
	139AA	Discrete mathematics	6 ECTS
	074AA	Dynamical systems	6 ECTS
	580AA	Dynamics of the solar system	6 ECTS
	065AA	Elementary mathematics from an advanced standpoint: arithmetic	6 ECTS
	066AA	Elementary mathematics from an advanced standpoint: geometry	6 ECTS
	080AA	Elementary number theory	6 ECTS
	049AA	Elements of algebraic geometry	6 ECTS
	054AA	Elements of algebraic topology	6 ECTS
	514AA	Elements of calculus of homogeneous groups	6 ECTS
	047AA	Elements of calculus of variations	6 ECTS
	051AA	Elements of celestial mechanics	6 ECTS
	046AA	Elements of complex analysis	6 ECTS
	050AA	Elements of Mathematical Logic	6 ECTS
	052AA	Elements of probability and statistics	6 ECTS
	053AA	Elements of Set Theory	6 ECTS
	704AA	Elliptic curves	6 ECTS
	109AA	Elliptic equations	6 ECTS
	554AA	Equations of fluid mechanics	6 ECTS
	224AA	Ergodic theory	6 ECTS
	702AA	Étale cohomology	6 ECTS
	168AA	Evolution problems	6 ECTS
	078AA	Field and Galois theories	6 ECTS
	110AA	Financial Mathematics	6 ECTS
	112AA	Foundations of mathematics	6 ECTS
	099AA	Functional Analysis	6 ECTS
	172AA	Functional spaces	6 ECTS
	211AA	Game theory.	6 ECTS
	229AA	General topology	6 ECTS
	548AA	Geometric analysis	6 ECTS
	225AA	Geometric measure theory	6 ECTS
	124AA	Geometry and topology of surfaces	6 ECTS
	121AA	Geometry of metric spaces	6 ECTS
	057AA	Groups and representations	6 ECTS
	212AA	Group theory	6 ECTS
	090AA	Harmonic analysis	6 ECTS
	087AA	Higher algebra A	6 ECTS
	088AA	Higher algebra B	6 ECTS
	798AA	Higher Analysis A	6 ECTS
	799AA	Higher Analysis B	6 ECTS
	186AA	History of ancient mathematics and its tradition	6 ECTS
	106AA	Holomorphic dynamics	6 ECTS
	086AA	Homological algebra	6 ECTS
	105AA	Hyperbolic dynamics	6 ECTS
	556AA	Hyperbolic equations	6 ECTS
	125AA	Hyperbolic geometry	6 ECTS
	076AA	Hystory of Mathematics	6 ECTS
	609AA	Introduction to geometric measure theory	6 ECTS
	133AA	Introduction to p-adic analysis	6 ECTS
	018BB	Introduction to quantum mechanics	6 ECTS
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	6 ECTS
	807AA	L functions	6 ECTS
	089AA	Lie algebras and Lie groups	6 ECTS
	705AA	Linear algebraic groups	6 ECTS
	085AA	Linear and multilinear algebra.	6 ECTS
	152AA	Linear and nonlinear waves:	6 ECTS
	228AA	Low-dimensional topology and geometry	6 ECTS
	547AA	Mathematical analysis 3	6 ECTS
	796AA	Mathematical aspects in quantum computing	6 ECTS
	064AA	Mathematical Logic	6 ECTS
	147AA	Mathematical methods in Cryptography	6 ECTS
	559AA	Mathematical models in biomedicine and mathematical physics	6 ECTS
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	670AA	Mathematics for Teaching Middle School Part A	6 ECTS
	671AA	Mathematics for Teaching Middle School Part B	6 ECTS
	111AA	Math Physics	6 ECTS
	219AA	Measure theory	6 ECTS
	775AA	Methods of harmonic analysis in nonlinear analysis	6 ECTS
	094AA	Microlocal analysis	6 ECTS
	187AA	Minimal Surfaces	6 ECTS
	213AA	Model Theory.	6 ECTS
	113AA	Modular forms	6 ECTS
	698AA	Noncommutative algebra	6 ECTS
	095AA	Nonlinear analysis	6 ECTS
	552AA	Nonlinear capacity, variational inequalities and applications	6 ECTS
	550AA	Non-standard analysis	6 ECTS
	150AA	Numerical methods for Fourier analysis.	6 ECTS
	149AA	Numerical methods for graphics.	6 ECTS
	148AA	Numerical methods for Markov chains.	6 ECTS
	067AA	Numerical Methods for Ordinary Differential Equations	6 ECTS
	795AA	Numerical methods for partial differential equations	6 ECTS
	072AA	Operational research	6 ECTS
	611AA	Operational research and communication and transport nets.	6 ECTS
	216AA	Optimal control theory	6 ECTS
	101AA	Orbital determination	6 ECTS
	108AA	Ordinary differential equations	6 ECTS
	156AA	Origins and development of modern mathematics	6 ECTS
	781AA	p-adic Galois respresentations	6 ECTS
	557AA	Parabolic equations	6 ECTS
	545AA	Partial differential equations	6 ECTS
	553AA	Partial differential equations 2	6 ECTS
	015BB	Physics Complements	6 ECTS
	243BB	Physics III	6 ECTS
	247BB	Physics lab for teaching	6 ECTS
	703AA	Post-quantum cryptography	6 ECTS
	070AA	Probability	6 ECTS
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	166AA	Problem solving	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	6 ECTS
	551AA	Real analysis	6 ECTS
	126AA	Real geometry A	6 ECTS
	127AA	Real geometry B	6 ECTS
	128AA	Real geometry C	6 ECTS
	581AA	Relativistic mechanics	6 ECTS
	130AA	Riemannian geometry	6 ECTS
	044AA	Scientific Computing	6 ECTS
	215AA	Semigroup theory	6 ECTS
	767AA	Set Theory A	6 ECTS
	778AA	Set Theory B	6 ECTS
	794AA	Sobolev spaces	6 ECTS
	144AA	Space mechanics	6 ECTS
	114AA	Special functions	6 ECTS
	555AA	Stochastic differential equations and applications	6 ECTS
	071AA	Stochastic processes	6 ECTS
	185AA	Symmetric spaces	6 ECTS
	131AA	Symplectic geometry	6 ECTS
	201AA	Technologies for education	6 ECTS
	806AA	Theories in Mathematics education	6 ECTS
	577AA	Theory and methods of optimization	6 ECTS
	221AA	Theory of functions	6 ECTS
	151AA	Topological methods for differential equations	6 ECTS
	068AA	Topological methods in the global analysis	6 ECTS
	230AA	Ultrafilters and nonstandard methods	6 ECTS
Group ModTeor - Choice of 24 ECTS from:
	232AA	3-manifolds	6 ECTS
	038AA	Algebra 2	6 ECTS
	797AA	Algebraic combinatorics	6 ECTS
	115AA	Algebraic geometry A	6 ECTS
	116AA	Algebraic geometry B	6 ECTS
	117AA	Algebraic geometry C	6 ECTS
	077AA	Algebraic number theory 1	6 ECTS
	777AA	Algebraic topology A	6 ECTS
	766AA	Algebraic topology B	6 ECTS
	204AA	Analytic number theory A	6 ECTS
	210AA	Automated control theory	6 ECTS
	096AA	Calculus of variations A	6 ECTS
	091AA	Complex analysis A	6 ECTS
	123AA	Complex differential geometry	6 ECTS
	082AA	Computational commutative algebra and algebraic geometry	6 ECTS
	045AA	Computer algebra	6 ECTS
	083AA	Computer algebra A	6 ECTS
	084AA	Computer algebra B.	6 ECTS
	093AA	Convex analysis	6 ECTS
	055AA	Differential geometry and topology	6 ECTS
	227AA	Differential topology	6 ECTS
	080AA	Elementary number theory	6 ECTS
	049AA	Elements of algebraic geometry	6 ECTS
	054AA	Elements of algebraic topology	6 ECTS
	047AA	Elements of calculus of variations	6 ECTS
	046AA	Elements of complex analysis	6 ECTS
	053AA	Elements of Set Theory	6 ECTS
	109AA	Elliptic equations	6 ECTS
	554AA	Equations of fluid mechanics	6 ECTS
	168AA	Evolution problems	6 ECTS
	078AA	Field and Galois theories	6 ECTS
	124AA	Geometry and topology of surfaces	6 ECTS
	057AA	Groups and representations	6 ECTS
	090AA	Harmonic analysis	6 ECTS
	087AA	Higher algebra A	6 ECTS
	088AA	Higher algebra B	6 ECTS
	798AA	Higher Analysis A	6 ECTS
	799AA	Higher Analysis B	6 ECTS
	106AA	Holomorphic dynamics	6 ECTS
	556AA	Hyperbolic equations	6 ECTS
	125AA	Hyperbolic geometry	6 ECTS
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	6 ECTS
	228AA	Low-dimensional topology and geometry	6 ECTS
	547AA	Mathematical analysis 3	6 ECTS
	064AA	Mathematical Logic	6 ECTS
	219AA	Measure theory	6 ECTS
	213AA	Model Theory.	6 ECTS
	095AA	Nonlinear analysis	6 ECTS
	545AA	Partial differential equations	6 ECTS
	553AA	Partial differential equations 2	6 ECTS
	126AA	Real geometry A	6 ECTS
	127AA	Real geometry B	6 ECTS
	130AA	Riemannian geometry	6 ECTS
	767AA	Set Theory A	6 ECTS
	778AA	Set Theory B	6 ECTS
	794AA	Sobolev spaces	6 ECTS
	068AA	Topological methods in the global analysis	6 ECTS
	230AA	Ultrafilters and nonstandard methods	6 ECTS
Year 2 (2024/2025)
1227Z	Final proof		27 ECTS
	Free choice		6 ECTS
Group IstTot - Choice of 11 ECTS from:
	774AA	Fundamentals of mathematical physics	11 ECTS
	769AA	Principles of algebra	11 ECTS
	768AA	Principles of geometry	11 ECTS
	770AA	Principles of mathematical analysis	11 ECTS
	771AA	Principles of mathematics education	11 ECTS
	772AA	Principles of numerical analysis	11 ECTS
	773AA	Principles of probability	11 ECTS
Group ModAffInt - Choice of 18 ECTS from:
	231AA	2-manifolds	6 ECTS
	232AA	3-manifolds	6 ECTS
	233AA	4-manifolds	6 ECTS
	145AA	Advanced mechanics	6 ECTS
	107AA	Advanced numerical linear algebra	6 ECTS
	560AA	Advanced probability	6 ECTS
	669AA	Advanced Statistics	6 ECTS
	037AA	Algebra 1	6 ECTS
	038AA	Algebra 2	6 ECTS
	797AA	Algebraic combinatorics	6 ECTS
	115AA	Algebraic geometry A	6 ECTS
	116AA	Algebraic geometry B	6 ECTS
	117AA	Algebraic geometry C	6 ECTS
	118AA	Algebraic geometry D	6 ECTS
	119AA	Algebraic geometry E	6 ECTS
	120AA	Algebraic geometry F	6 ECTS
	608AA	Algebraic geometry G	6 ECTS
	077AA	Algebraic number theory 1	6 ECTS
	202AA	Algebraic number theory 2	6 ECTS
	706AA	Algebraic number theory 3	6 ECTS
	777AA	Algebraic topology A	6 ECTS
	766AA	Algebraic topology B	6 ECTS
	039AA	Algorithms and data structure	6 ECTS
	549AA	Analysis in metric spaces	6 ECTS
	204AA	Analytic number theory A	6 ECTS
	205AA	Analytic number theory B	6 ECTS
	701AA	Applications of Differential Equations in Biomedicine	6 ECTS
	700AA	Applications of fluid dynamics in biomedicine	6 ECTS
	146AA	Approximation methods	6 ECTS
	210AA	Automated control theory	6 ECTS
	096AA	Calculus of variations A	6 ECTS
	097AA	Calculus of variations B	6 ECTS
	220AA	Category theory	6 ECTS
	142AA	Celestial mechanics	6 ECTS
	209AA	Coding theory	6 ECTS
	079AA	Coding theory and cryptography	6 ECTS
	610AA	Combinatorial optimization	6 ECTS
	582AA	Complements of mathematics education	6 ECTS
	091AA	Complex analysis A	6 ECTS
	092AA	Complex analysis B	6 ECTS
	123AA	Complex differential geometry	6 ECTS
	217AA	Computability Theory	6 ECTS
	082AA	Computational commutative algebra and algebraic geometry	6 ECTS
	129AA	Computational real geometry	6 ECTS
	045AA	Computer algebra	6 ECTS
	083AA	Computer algebra A	6 ECTS
	084AA	Computer algebra B.	6 ECTS
	122AA	Contact geometry	6 ECTS
	143AA	Continuous mechanics	6 ECTS
	093AA	Convex analysis	6 ECTS
	132AA	Coxeter Groups	6 ECTS
	098AA	Cyclotomic fields	6 ECTS
	699AA	Data Analysis	6 ECTS
	222AA	Descriptive complexity theory	6 ECTS
	528AA	Didactics of mathematics and new technologies	6 ECTS
	055AA	Differential geometry and topology	6 ECTS
	155AA	Differential operators and index theorems	6 ECTS
	227AA	Differential topology	6 ECTS
	171AA	Discrete dynamical systems	6 ECTS
	139AA	Discrete mathematics	6 ECTS
	074AA	Dynamical systems	6 ECTS
	580AA	Dynamics of the solar system	6 ECTS
	065AA	Elementary mathematics from an advanced standpoint: arithmetic	6 ECTS
	066AA	Elementary mathematics from an advanced standpoint: geometry	6 ECTS
	080AA	Elementary number theory	6 ECTS
	049AA	Elements of algebraic geometry	6 ECTS
	054AA	Elements of algebraic topology	6 ECTS
	514AA	Elements of calculus of homogeneous groups	6 ECTS
	047AA	Elements of calculus of variations	6 ECTS
	051AA	Elements of celestial mechanics	6 ECTS
	046AA	Elements of complex analysis	6 ECTS
	050AA	Elements of Mathematical Logic	6 ECTS
	052AA	Elements of probability and statistics	6 ECTS
	053AA	Elements of Set Theory	6 ECTS
	704AA	Elliptic curves	6 ECTS
	109AA	Elliptic equations	6 ECTS
	554AA	Equations of fluid mechanics	6 ECTS
	224AA	Ergodic theory	6 ECTS
	702AA	Étale cohomology	6 ECTS
	168AA	Evolution problems	6 ECTS
	078AA	Field and Galois theories	6 ECTS
	110AA	Financial Mathematics	6 ECTS
	112AA	Foundations of mathematics	6 ECTS
	099AA	Functional Analysis	6 ECTS
	172AA	Functional spaces	6 ECTS
	211AA	Game theory.	6 ECTS
	229AA	General topology	6 ECTS
	548AA	Geometric analysis	6 ECTS
	225AA	Geometric measure theory	6 ECTS
	124AA	Geometry and topology of surfaces	6 ECTS
	121AA	Geometry of metric spaces	6 ECTS
	057AA	Groups and representations	6 ECTS
	212AA	Group theory	6 ECTS
	090AA	Harmonic analysis	6 ECTS
	087AA	Higher algebra A	6 ECTS
	088AA	Higher algebra B	6 ECTS
	798AA	Higher Analysis A	6 ECTS
	799AA	Higher Analysis B	6 ECTS
	186AA	History of ancient mathematics and its tradition	6 ECTS
	106AA	Holomorphic dynamics	6 ECTS
	086AA	Homological algebra	6 ECTS
	105AA	Hyperbolic dynamics	6 ECTS
	556AA	Hyperbolic equations	6 ECTS
	125AA	Hyperbolic geometry	6 ECTS
	076AA	Hystory of Mathematics	6 ECTS
	609AA	Introduction to geometric measure theory	6 ECTS
	133AA	Introduction to p-adic analysis	6 ECTS
	018BB	Introduction to quantum mechanics	6 ECTS
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	6 ECTS
	807AA	L functions	6 ECTS
	089AA	Lie algebras and Lie groups	6 ECTS
	705AA	Linear algebraic groups	6 ECTS
	085AA	Linear and multilinear algebra.	6 ECTS
	152AA	Linear and nonlinear waves:	6 ECTS
	228AA	Low-dimensional topology and geometry	6 ECTS
	547AA	Mathematical analysis 3	6 ECTS
	796AA	Mathematical aspects in quantum computing	6 ECTS
	064AA	Mathematical Logic	6 ECTS
	147AA	Mathematical methods in Cryptography	6 ECTS
	559AA	Mathematical models in biomedicine and mathematical physics	6 ECTS
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	670AA	Mathematics for Teaching Middle School Part A	6 ECTS
	671AA	Mathematics for Teaching Middle School Part B	6 ECTS
	111AA	Math Physics	6 ECTS
	219AA	Measure theory	6 ECTS
	775AA	Methods of harmonic analysis in nonlinear analysis	6 ECTS
	094AA	Microlocal analysis	6 ECTS
	187AA	Minimal Surfaces	6 ECTS
	213AA	Model Theory.	6 ECTS
	113AA	Modular forms	6 ECTS
	698AA	Noncommutative algebra	6 ECTS
	095AA	Nonlinear analysis	6 ECTS
	552AA	Nonlinear capacity, variational inequalities and applications	6 ECTS
	550AA	Non-standard analysis	6 ECTS
	150AA	Numerical methods for Fourier analysis.	6 ECTS
	149AA	Numerical methods for graphics.	6 ECTS
	148AA	Numerical methods for Markov chains.	6 ECTS
	067AA	Numerical Methods for Ordinary Differential Equations	6 ECTS
	795AA	Numerical methods for partial differential equations	6 ECTS
	072AA	Operational research	6 ECTS
	611AA	Operational research and communication and transport nets.	6 ECTS
	216AA	Optimal control theory	6 ECTS
	101AA	Orbital determination	6 ECTS
	108AA	Ordinary differential equations	6 ECTS
	156AA	Origins and development of modern mathematics	6 ECTS
	781AA	p-adic Galois respresentations	6 ECTS
	557AA	Parabolic equations	6 ECTS
	545AA	Partial differential equations	6 ECTS
	553AA	Partial differential equations 2	6 ECTS
	015BB	Physics Complements	6 ECTS
	243BB	Physics III	6 ECTS
	247BB	Physics lab for teaching	6 ECTS
	703AA	Post-quantum cryptography	6 ECTS
	070AA	Probability	6 ECTS
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	166AA	Problem solving	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	6 ECTS
	551AA	Real analysis	6 ECTS
	126AA	Real geometry A	6 ECTS
	127AA	Real geometry B	6 ECTS
	128AA	Real geometry C	6 ECTS
	581AA	Relativistic mechanics	6 ECTS
	130AA	Riemannian geometry	6 ECTS
	044AA	Scientific Computing	6 ECTS
	215AA	Semigroup theory	6 ECTS
	767AA	Set Theory A	6 ECTS
	778AA	Set Theory B	6 ECTS
	794AA	Sobolev spaces	6 ECTS
	144AA	Space mechanics	6 ECTS
	114AA	Special functions	6 ECTS
	555AA	Stochastic differential equations and applications	6 ECTS
	071AA	Stochastic processes	6 ECTS
	185AA	Symmetric spaces	6 ECTS
	131AA	Symplectic geometry	6 ECTS
	201AA	Technologies for education	6 ECTS
	806AA	Theories in Mathematics education	6 ECTS
	577AA	Theory and methods of optimization	6 ECTS
	221AA	Theory of functions	6 ECTS
	151AA	Topological methods for differential equations	6 ECTS
	068AA	Topological methods in the global analysis	6 ECTS
	230AA	Ultrafilters and nonstandard methods	6 ECTS

Track Modellistico

Year 1 (2023/2024)
	Free choice		6 ECTS
770AA	Principles of mathematical analysis		11 ECTS
773AA	Principles of probability		11 ECTS
Group ModAffInt - Choice of 6 ECTS from:
	231AA	2-manifolds	6 ECTS
	232AA	3-manifolds	6 ECTS
	233AA	4-manifolds	6 ECTS
	145AA	Advanced mechanics	6 ECTS
	107AA	Advanced numerical linear algebra	6 ECTS
	560AA	Advanced probability	6 ECTS
	669AA	Advanced Statistics	6 ECTS
	037AA	Algebra 1	6 ECTS
	038AA	Algebra 2	6 ECTS
	797AA	Algebraic combinatorics	6 ECTS
	115AA	Algebraic geometry A	6 ECTS
	116AA	Algebraic geometry B	6 ECTS
	117AA	Algebraic geometry C	6 ECTS
	118AA	Algebraic geometry D	6 ECTS
	119AA	Algebraic geometry E	6 ECTS
	120AA	Algebraic geometry F	6 ECTS
	608AA	Algebraic geometry G	6 ECTS
	077AA	Algebraic number theory 1	6 ECTS
	202AA	Algebraic number theory 2	6 ECTS
	706AA	Algebraic number theory 3	6 ECTS
	777AA	Algebraic topology A	6 ECTS
	766AA	Algebraic topology B	6 ECTS
	039AA	Algorithms and data structure	6 ECTS
	549AA	Analysis in metric spaces	6 ECTS
	204AA	Analytic number theory A	6 ECTS
	205AA	Analytic number theory B	6 ECTS
	701AA	Applications of Differential Equations in Biomedicine	6 ECTS
	700AA	Applications of fluid dynamics in biomedicine	6 ECTS
	146AA	Approximation methods	6 ECTS
	210AA	Automated control theory	6 ECTS
	096AA	Calculus of variations A	6 ECTS
	097AA	Calculus of variations B	6 ECTS
	220AA	Category theory	6 ECTS
	142AA	Celestial mechanics	6 ECTS
	209AA	Coding theory	6 ECTS
	079AA	Coding theory and cryptography	6 ECTS
	610AA	Combinatorial optimization	6 ECTS
	582AA	Complements of mathematics education	6 ECTS
	091AA	Complex analysis A	6 ECTS
	092AA	Complex analysis B	6 ECTS
	123AA	Complex differential geometry	6 ECTS
	217AA	Computability Theory	6 ECTS
	082AA	Computational commutative algebra and algebraic geometry	6 ECTS
	129AA	Computational real geometry	6 ECTS
	045AA	Computer algebra	6 ECTS
	083AA	Computer algebra A	6 ECTS
	084AA	Computer algebra B.	6 ECTS
	122AA	Contact geometry	6 ECTS
	143AA	Continuous mechanics	6 ECTS
	093AA	Convex analysis	6 ECTS
	132AA	Coxeter Groups	6 ECTS
	098AA	Cyclotomic fields	6 ECTS
	699AA	Data Analysis	6 ECTS
	222AA	Descriptive complexity theory	6 ECTS
	528AA	Didactics of mathematics and new technologies	6 ECTS
	055AA	Differential geometry and topology	6 ECTS
	155AA	Differential operators and index theorems	6 ECTS
	227AA	Differential topology	6 ECTS
	171AA	Discrete dynamical systems	6 ECTS
	139AA	Discrete mathematics	6 ECTS
	074AA	Dynamical systems	6 ECTS
	580AA	Dynamics of the solar system	6 ECTS
	065AA	Elementary mathematics from an advanced standpoint: arithmetic	6 ECTS
	066AA	Elementary mathematics from an advanced standpoint: geometry	6 ECTS
	080AA	Elementary number theory	6 ECTS
	049AA	Elements of algebraic geometry	6 ECTS
	054AA	Elements of algebraic topology	6 ECTS
	514AA	Elements of calculus of homogeneous groups	6 ECTS
	047AA	Elements of calculus of variations	6 ECTS
	051AA	Elements of celestial mechanics	6 ECTS
	046AA	Elements of complex analysis	6 ECTS
	050AA	Elements of Mathematical Logic	6 ECTS
	052AA	Elements of probability and statistics	6 ECTS
	053AA	Elements of Set Theory	6 ECTS
	704AA	Elliptic curves	6 ECTS
	109AA	Elliptic equations	6 ECTS
	554AA	Equations of fluid mechanics	6 ECTS
	224AA	Ergodic theory	6 ECTS
	702AA	Étale cohomology	6 ECTS
	168AA	Evolution problems	6 ECTS
	078AA	Field and Galois theories	6 ECTS
	110AA	Financial Mathematics	6 ECTS
	112AA	Foundations of mathematics	6 ECTS
	099AA	Functional Analysis	6 ECTS
	172AA	Functional spaces	6 ECTS
	211AA	Game theory.	6 ECTS
	229AA	General topology	6 ECTS
	548AA	Geometric analysis	6 ECTS
	225AA	Geometric measure theory	6 ECTS
	124AA	Geometry and topology of surfaces	6 ECTS
	121AA	Geometry of metric spaces	6 ECTS
	057AA	Groups and representations	6 ECTS
	212AA	Group theory	6 ECTS
	090AA	Harmonic analysis	6 ECTS
	087AA	Higher algebra A	6 ECTS
	088AA	Higher algebra B	6 ECTS
	798AA	Higher Analysis A	6 ECTS
	799AA	Higher Analysis B	6 ECTS
	186AA	History of ancient mathematics and its tradition	6 ECTS
	106AA	Holomorphic dynamics	6 ECTS
	086AA	Homological algebra	6 ECTS
	105AA	Hyperbolic dynamics	6 ECTS
	556AA	Hyperbolic equations	6 ECTS
	125AA	Hyperbolic geometry	6 ECTS
	076AA	Hystory of Mathematics	6 ECTS
	609AA	Introduction to geometric measure theory	6 ECTS
	133AA	Introduction to p-adic analysis	6 ECTS
	018BB	Introduction to quantum mechanics	6 ECTS
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	6 ECTS
	807AA	L functions	6 ECTS
	089AA	Lie algebras and Lie groups	6 ECTS
	705AA	Linear algebraic groups	6 ECTS
	085AA	Linear and multilinear algebra.	6 ECTS
	152AA	Linear and nonlinear waves:	6 ECTS
	228AA	Low-dimensional topology and geometry	6 ECTS
	547AA	Mathematical analysis 3	6 ECTS
	796AA	Mathematical aspects in quantum computing	6 ECTS
	064AA	Mathematical Logic	6 ECTS
	147AA	Mathematical methods in Cryptography	6 ECTS
	559AA	Mathematical models in biomedicine and mathematical physics	6 ECTS
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	670AA	Mathematics for Teaching Middle School Part A	6 ECTS
	671AA	Mathematics for Teaching Middle School Part B	6 ECTS
	111AA	Math Physics	6 ECTS
	219AA	Measure theory	6 ECTS
	775AA	Methods of harmonic analysis in nonlinear analysis	6 ECTS
	094AA	Microlocal analysis	6 ECTS
	187AA	Minimal Surfaces	6 ECTS
	213AA	Model Theory.	6 ECTS
	113AA	Modular forms	6 ECTS
	698AA	Noncommutative algebra	6 ECTS
	095AA	Nonlinear analysis	6 ECTS
	552AA	Nonlinear capacity, variational inequalities and applications	6 ECTS
	550AA	Non-standard analysis	6 ECTS
	150AA	Numerical methods for Fourier analysis.	6 ECTS
	149AA	Numerical methods for graphics.	6 ECTS
	148AA	Numerical methods for Markov chains.	6 ECTS
	067AA	Numerical Methods for Ordinary Differential Equations	6 ECTS
	795AA	Numerical methods for partial differential equations	6 ECTS
	072AA	Operational research	6 ECTS
	611AA	Operational research and communication and transport nets.	6 ECTS
	216AA	Optimal control theory	6 ECTS
	101AA	Orbital determination	6 ECTS
	108AA	Ordinary differential equations	6 ECTS
	156AA	Origins and development of modern mathematics	6 ECTS
	781AA	p-adic Galois respresentations	6 ECTS
	557AA	Parabolic equations	6 ECTS
	545AA	Partial differential equations	6 ECTS
	553AA	Partial differential equations 2	6 ECTS
	015BB	Physics Complements	6 ECTS
	243BB	Physics III	6 ECTS
	247BB	Physics lab for teaching	6 ECTS
	703AA	Post-quantum cryptography	6 ECTS
	070AA	Probability	6 ECTS
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	166AA	Problem solving	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	6 ECTS
	551AA	Real analysis	6 ECTS
	126AA	Real geometry A	6 ECTS
	127AA	Real geometry B	6 ECTS
	128AA	Real geometry C	6 ECTS
	581AA	Relativistic mechanics	6 ECTS
	130AA	Riemannian geometry	6 ECTS
	044AA	Scientific Computing	6 ECTS
	215AA	Semigroup theory	6 ECTS
	767AA	Set Theory A	6 ECTS
	778AA	Set Theory B	6 ECTS
	794AA	Sobolev spaces	6 ECTS
	144AA	Space mechanics	6 ECTS
	114AA	Special functions	6 ECTS
	555AA	Stochastic differential equations and applications	6 ECTS
	071AA	Stochastic processes	6 ECTS
	185AA	Symmetric spaces	6 ECTS
	131AA	Symplectic geometry	6 ECTS
	201AA	Technologies for education	6 ECTS
	806AA	Theories in Mathematics education	6 ECTS
	577AA	Theory and methods of optimization	6 ECTS
	221AA	Theory of functions	6 ECTS
	151AA	Topological methods for differential equations	6 ECTS
	068AA	Topological methods in the global analysis	6 ECTS
	230AA	Ultrafilters and nonstandard methods	6 ECTS
Group ModAppl - Choice of 12 ECTS from:
	145AA	Advanced mechanics	6 ECTS
	669AA	Advanced Statistics	6 ECTS
	146AA	Approximation methods	6 ECTS
	142AA	Celestial mechanics	6 ECTS
	699AA	Data Analysis	6 ECTS
	074AA	Dynamical systems	6 ECTS
	580AA	Dynamics of the solar system	6 ECTS
	051AA	Elements of celestial mechanics	6 ECTS
	211AA	Game theory.	6 ECTS
	796AA	Mathematical aspects in quantum computing	6 ECTS
	075AA	Mathematical statistics	6 ECTS
	111AA	Math Physics	6 ECTS
	149AA	Numerical methods for graphics.	6 ECTS
	148AA	Numerical methods for Markov chains.	6 ECTS
	067AA	Numerical Methods for Ordinary Differential Equations	6 ECTS
	795AA	Numerical methods for partial differential equations	6 ECTS
	072AA	Operational research	6 ECTS
	101AA	Orbital determination	6 ECTS
	070AA	Probability	6 ECTS
	575AA	Rational mechanics	6 ECTS
	044AA	Scientific Computing	6 ECTS
	144AA	Space mechanics	6 ECTS
	577AA	Theory and methods of optimization	6 ECTS
Group ModTeor - Choice of 12 ECTS from:
	232AA	3-manifolds	6 ECTS
	038AA	Algebra 2	6 ECTS
	797AA	Algebraic combinatorics	6 ECTS
	115AA	Algebraic geometry A	6 ECTS
	116AA	Algebraic geometry B	6 ECTS
	117AA	Algebraic geometry C	6 ECTS
	077AA	Algebraic number theory 1	6 ECTS
	777AA	Algebraic topology A	6 ECTS
	766AA	Algebraic topology B	6 ECTS
	204AA	Analytic number theory A	6 ECTS
	210AA	Automated control theory	6 ECTS
	096AA	Calculus of variations A	6 ECTS
	091AA	Complex analysis A	6 ECTS
	123AA	Complex differential geometry	6 ECTS
	082AA	Computational commutative algebra and algebraic geometry	6 ECTS
	045AA	Computer algebra	6 ECTS
	083AA	Computer algebra A	6 ECTS
	084AA	Computer algebra B.	6 ECTS
	093AA	Convex analysis	6 ECTS
	055AA	Differential geometry and topology	6 ECTS
	227AA	Differential topology	6 ECTS
	080AA	Elementary number theory	6 ECTS
	049AA	Elements of algebraic geometry	6 ECTS
	054AA	Elements of algebraic topology	6 ECTS
	047AA	Elements of calculus of variations	6 ECTS
	046AA	Elements of complex analysis	6 ECTS
	053AA	Elements of Set Theory	6 ECTS
	109AA	Elliptic equations	6 ECTS
	554AA	Equations of fluid mechanics	6 ECTS
	168AA	Evolution problems	6 ECTS
	078AA	Field and Galois theories	6 ECTS
	124AA	Geometry and topology of surfaces	6 ECTS
	057AA	Groups and representations	6 ECTS
	090AA	Harmonic analysis	6 ECTS
	087AA	Higher algebra A	6 ECTS
	088AA	Higher algebra B	6 ECTS
	798AA	Higher Analysis A	6 ECTS
	799AA	Higher Analysis B	6 ECTS
	106AA	Holomorphic dynamics	6 ECTS
	556AA	Hyperbolic equations	6 ECTS
	125AA	Hyperbolic geometry	6 ECTS
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	6 ECTS
	228AA	Low-dimensional topology and geometry	6 ECTS
	547AA	Mathematical analysis 3	6 ECTS
	064AA	Mathematical Logic	6 ECTS
	219AA	Measure theory	6 ECTS
	213AA	Model Theory.	6 ECTS
	095AA	Nonlinear analysis	6 ECTS
	545AA	Partial differential equations	6 ECTS
	553AA	Partial differential equations 2	6 ECTS
	126AA	Real geometry A	6 ECTS
	127AA	Real geometry B	6 ECTS
	130AA	Riemannian geometry	6 ECTS
	767AA	Set Theory A	6 ECTS
	778AA	Set Theory B	6 ECTS
	794AA	Sobolev spaces	6 ECTS
	068AA	Topological methods in the global analysis	6 ECTS
	230AA	Ultrafilters and nonstandard methods	6 ECTS
Year 2 (2024/2025)
1227Z	Final proof		27 ECTS
	Free choice		6 ECTS
Group IstFisNum - Choice of 11 ECTS from:
	774AA	Fundamentals of mathematical physics	11 ECTS
	772AA	Principles of numerical analysis	11 ECTS
Group ModAffInt - Choice of 18 ECTS from:
	231AA	2-manifolds	6 ECTS
	232AA	3-manifolds	6 ECTS
	233AA	4-manifolds	6 ECTS
	145AA	Advanced mechanics	6 ECTS
	107AA	Advanced numerical linear algebra	6 ECTS
	560AA	Advanced probability	6 ECTS
	669AA	Advanced Statistics	6 ECTS
	037AA	Algebra 1	6 ECTS
	038AA	Algebra 2	6 ECTS
	797AA	Algebraic combinatorics	6 ECTS
	115AA	Algebraic geometry A	6 ECTS
	116AA	Algebraic geometry B	6 ECTS
	117AA	Algebraic geometry C	6 ECTS
	118AA	Algebraic geometry D	6 ECTS
	119AA	Algebraic geometry E	6 ECTS
	120AA	Algebraic geometry F	6 ECTS
	608AA	Algebraic geometry G	6 ECTS
	077AA	Algebraic number theory 1	6 ECTS
	202AA	Algebraic number theory 2	6 ECTS
	706AA	Algebraic number theory 3	6 ECTS
	777AA	Algebraic topology A	6 ECTS
	766AA	Algebraic topology B	6 ECTS
	039AA	Algorithms and data structure	6 ECTS
	549AA	Analysis in metric spaces	6 ECTS
	204AA	Analytic number theory A	6 ECTS
	205AA	Analytic number theory B	6 ECTS
	701AA	Applications of Differential Equations in Biomedicine	6 ECTS
	700AA	Applications of fluid dynamics in biomedicine	6 ECTS
	146AA	Approximation methods	6 ECTS
	210AA	Automated control theory	6 ECTS
	096AA	Calculus of variations A	6 ECTS
	097AA	Calculus of variations B	6 ECTS
	220AA	Category theory	6 ECTS
	142AA	Celestial mechanics	6 ECTS
	209AA	Coding theory	6 ECTS
	079AA	Coding theory and cryptography	6 ECTS
	610AA	Combinatorial optimization	6 ECTS
	582AA	Complements of mathematics education	6 ECTS
	091AA	Complex analysis A	6 ECTS
	092AA	Complex analysis B	6 ECTS
	123AA	Complex differential geometry	6 ECTS
	217AA	Computability Theory	6 ECTS
	082AA	Computational commutative algebra and algebraic geometry	6 ECTS
	129AA	Computational real geometry	6 ECTS
	045AA	Computer algebra	6 ECTS
	083AA	Computer algebra A	6 ECTS
	084AA	Computer algebra B.	6 ECTS
	122AA	Contact geometry	6 ECTS
	143AA	Continuous mechanics	6 ECTS
	093AA	Convex analysis	6 ECTS
	132AA	Coxeter Groups	6 ECTS
	098AA	Cyclotomic fields	6 ECTS
	699AA	Data Analysis	6 ECTS
	222AA	Descriptive complexity theory	6 ECTS
	528AA	Didactics of mathematics and new technologies	6 ECTS
	055AA	Differential geometry and topology	6 ECTS
	155AA	Differential operators and index theorems	6 ECTS
	227AA	Differential topology	6 ECTS
	171AA	Discrete dynamical systems	6 ECTS
	139AA	Discrete mathematics	6 ECTS
	074AA	Dynamical systems	6 ECTS
	580AA	Dynamics of the solar system	6 ECTS
	065AA	Elementary mathematics from an advanced standpoint: arithmetic	6 ECTS
	066AA	Elementary mathematics from an advanced standpoint: geometry	6 ECTS
	080AA	Elementary number theory	6 ECTS
	049AA	Elements of algebraic geometry	6 ECTS
	054AA	Elements of algebraic topology	6 ECTS
	514AA	Elements of calculus of homogeneous groups	6 ECTS
	047AA	Elements of calculus of variations	6 ECTS
	051AA	Elements of celestial mechanics	6 ECTS
	046AA	Elements of complex analysis	6 ECTS
	050AA	Elements of Mathematical Logic	6 ECTS
	052AA	Elements of probability and statistics	6 ECTS
	053AA	Elements of Set Theory	6 ECTS
	704AA	Elliptic curves	6 ECTS
	109AA	Elliptic equations	6 ECTS
	554AA	Equations of fluid mechanics	6 ECTS
	224AA	Ergodic theory	6 ECTS
	702AA	Étale cohomology	6 ECTS
	168AA	Evolution problems	6 ECTS
	078AA	Field and Galois theories	6 ECTS
	110AA	Financial Mathematics	6 ECTS
	112AA	Foundations of mathematics	6 ECTS
	099AA	Functional Analysis	6 ECTS
	172AA	Functional spaces	6 ECTS
	211AA	Game theory.	6 ECTS
	229AA	General topology	6 ECTS
	548AA	Geometric analysis	6 ECTS
	225AA	Geometric measure theory	6 ECTS
	124AA	Geometry and topology of surfaces	6 ECTS
	121AA	Geometry of metric spaces	6 ECTS
	057AA	Groups and representations	6 ECTS
	212AA	Group theory	6 ECTS
	090AA	Harmonic analysis	6 ECTS
	087AA	Higher algebra A	6 ECTS
	088AA	Higher algebra B	6 ECTS
	798AA	Higher Analysis A	6 ECTS
	799AA	Higher Analysis B	6 ECTS
	186AA	History of ancient mathematics and its tradition	6 ECTS
	106AA	Holomorphic dynamics	6 ECTS
	086AA	Homological algebra	6 ECTS
	105AA	Hyperbolic dynamics	6 ECTS
	556AA	Hyperbolic equations	6 ECTS
	125AA	Hyperbolic geometry	6 ECTS
	076AA	Hystory of Mathematics	6 ECTS
	609AA	Introduction to geometric measure theory	6 ECTS
	133AA	Introduction to p-adic analysis	6 ECTS
	018BB	Introduction to quantum mechanics	6 ECTS
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	6 ECTS
	807AA	L functions	6 ECTS
	089AA	Lie algebras and Lie groups	6 ECTS
	705AA	Linear algebraic groups	6 ECTS
	085AA	Linear and multilinear algebra.	6 ECTS
	152AA	Linear and nonlinear waves:	6 ECTS
	228AA	Low-dimensional topology and geometry	6 ECTS
	547AA	Mathematical analysis 3	6 ECTS
	796AA	Mathematical aspects in quantum computing	6 ECTS
	064AA	Mathematical Logic	6 ECTS
	147AA	Mathematical methods in Cryptography	6 ECTS
	559AA	Mathematical models in biomedicine and mathematical physics	6 ECTS
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	670AA	Mathematics for Teaching Middle School Part A	6 ECTS
	671AA	Mathematics for Teaching Middle School Part B	6 ECTS
	111AA	Math Physics	6 ECTS
	219AA	Measure theory	6 ECTS
	775AA	Methods of harmonic analysis in nonlinear analysis	6 ECTS
	094AA	Microlocal analysis	6 ECTS
	187AA	Minimal Surfaces	6 ECTS
	213AA	Model Theory.	6 ECTS
	113AA	Modular forms	6 ECTS
	698AA	Noncommutative algebra	6 ECTS
	095AA	Nonlinear analysis	6 ECTS
	552AA	Nonlinear capacity, variational inequalities and applications	6 ECTS
	550AA	Non-standard analysis	6 ECTS
	150AA	Numerical methods for Fourier analysis.	6 ECTS
	149AA	Numerical methods for graphics.	6 ECTS
	148AA	Numerical methods for Markov chains.	6 ECTS
	067AA	Numerical Methods for Ordinary Differential Equations	6 ECTS
	795AA	Numerical methods for partial differential equations	6 ECTS
	072AA	Operational research	6 ECTS
	611AA	Operational research and communication and transport nets.	6 ECTS
	216AA	Optimal control theory	6 ECTS
	101AA	Orbital determination	6 ECTS
	108AA	Ordinary differential equations	6 ECTS
	156AA	Origins and development of modern mathematics	6 ECTS
	781AA	p-adic Galois respresentations	6 ECTS
	557AA	Parabolic equations	6 ECTS
	545AA	Partial differential equations	6 ECTS
	553AA	Partial differential equations 2	6 ECTS
	015BB	Physics Complements	6 ECTS
	243BB	Physics III	6 ECTS
	247BB	Physics lab for teaching	6 ECTS
	703AA	Post-quantum cryptography	6 ECTS
	070AA	Probability	6 ECTS
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	166AA	Problem solving	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	6 ECTS
	551AA	Real analysis	6 ECTS
	126AA	Real geometry A	6 ECTS
	127AA	Real geometry B	6 ECTS
	128AA	Real geometry C	6 ECTS
	581AA	Relativistic mechanics	6 ECTS
	130AA	Riemannian geometry	6 ECTS
	044AA	Scientific Computing	6 ECTS
	215AA	Semigroup theory	6 ECTS
	767AA	Set Theory A	6 ECTS
	778AA	Set Theory B	6 ECTS
	794AA	Sobolev spaces	6 ECTS
	144AA	Space mechanics	6 ECTS
	114AA	Special functions	6 ECTS
	555AA	Stochastic differential equations and applications	6 ECTS
	071AA	Stochastic processes	6 ECTS
	185AA	Symmetric spaces	6 ECTS
	131AA	Symplectic geometry	6 ECTS
	201AA	Technologies for education	6 ECTS
	806AA	Theories in Mathematics education	6 ECTS
	577AA	Theory and methods of optimization	6 ECTS
	221AA	Theory of functions	6 ECTS
	151AA	Topological methods for differential equations	6 ECTS
	068AA	Topological methods in the global analysis	6 ECTS
	230AA	Ultrafilters and nonstandard methods	6 ECTS

Track Teorico

Year 1 (2023/2024)
	Free choice		6 ECTS
769AA	Principles of algebra		11 ECTS
770AA	Principles of mathematical analysis		11 ECTS
Group ModAffInt - Choice of 6 ECTS from:
	231AA	2-manifolds	6 ECTS
	232AA	3-manifolds	6 ECTS
	233AA	4-manifolds	6 ECTS
	145AA	Advanced mechanics	6 ECTS
	107AA	Advanced numerical linear algebra	6 ECTS
	560AA	Advanced probability	6 ECTS
	669AA	Advanced Statistics	6 ECTS
	037AA	Algebra 1	6 ECTS
	038AA	Algebra 2	6 ECTS
	797AA	Algebraic combinatorics	6 ECTS
	115AA	Algebraic geometry A	6 ECTS
	116AA	Algebraic geometry B	6 ECTS
	117AA	Algebraic geometry C	6 ECTS
	118AA	Algebraic geometry D	6 ECTS
	119AA	Algebraic geometry E	6 ECTS
	120AA	Algebraic geometry F	6 ECTS
	608AA	Algebraic geometry G	6 ECTS
	077AA	Algebraic number theory 1	6 ECTS
	202AA	Algebraic number theory 2	6 ECTS
	706AA	Algebraic number theory 3	6 ECTS
	777AA	Algebraic topology A	6 ECTS
	766AA	Algebraic topology B	6 ECTS
	039AA	Algorithms and data structure	6 ECTS
	549AA	Analysis in metric spaces	6 ECTS
	204AA	Analytic number theory A	6 ECTS
	205AA	Analytic number theory B	6 ECTS
	701AA	Applications of Differential Equations in Biomedicine	6 ECTS
	700AA	Applications of fluid dynamics in biomedicine	6 ECTS
	146AA	Approximation methods	6 ECTS
	210AA	Automated control theory	6 ECTS
	096AA	Calculus of variations A	6 ECTS
	097AA	Calculus of variations B	6 ECTS
	220AA	Category theory	6 ECTS
	142AA	Celestial mechanics	6 ECTS
	209AA	Coding theory	6 ECTS
	079AA	Coding theory and cryptography	6 ECTS
	610AA	Combinatorial optimization	6 ECTS
	582AA	Complements of mathematics education	6 ECTS
	091AA	Complex analysis A	6 ECTS
	092AA	Complex analysis B	6 ECTS
	123AA	Complex differential geometry	6 ECTS
	217AA	Computability Theory	6 ECTS
	082AA	Computational commutative algebra and algebraic geometry	6 ECTS
	129AA	Computational real geometry	6 ECTS
	045AA	Computer algebra	6 ECTS
	083AA	Computer algebra A	6 ECTS
	084AA	Computer algebra B.	6 ECTS
	122AA	Contact geometry	6 ECTS
	143AA	Continuous mechanics	6 ECTS
	093AA	Convex analysis	6 ECTS
	132AA	Coxeter Groups	6 ECTS
	098AA	Cyclotomic fields	6 ECTS
	699AA	Data Analysis	6 ECTS
	222AA	Descriptive complexity theory	6 ECTS
	528AA	Didactics of mathematics and new technologies	6 ECTS
	055AA	Differential geometry and topology	6 ECTS
	155AA	Differential operators and index theorems	6 ECTS
	227AA	Differential topology	6 ECTS
	171AA	Discrete dynamical systems	6 ECTS
	139AA	Discrete mathematics	6 ECTS
	074AA	Dynamical systems	6 ECTS
	580AA	Dynamics of the solar system	6 ECTS
	065AA	Elementary mathematics from an advanced standpoint: arithmetic	6 ECTS
	066AA	Elementary mathematics from an advanced standpoint: geometry	6 ECTS
	080AA	Elementary number theory	6 ECTS
	049AA	Elements of algebraic geometry	6 ECTS
	054AA	Elements of algebraic topology	6 ECTS
	514AA	Elements of calculus of homogeneous groups	6 ECTS
	047AA	Elements of calculus of variations	6 ECTS
	051AA	Elements of celestial mechanics	6 ECTS
	046AA	Elements of complex analysis	6 ECTS
	050AA	Elements of Mathematical Logic	6 ECTS
	052AA	Elements of probability and statistics	6 ECTS
	053AA	Elements of Set Theory	6 ECTS
	704AA	Elliptic curves	6 ECTS
	109AA	Elliptic equations	6 ECTS
	554AA	Equations of fluid mechanics	6 ECTS
	224AA	Ergodic theory	6 ECTS
	702AA	Étale cohomology	6 ECTS
	168AA	Evolution problems	6 ECTS
	078AA	Field and Galois theories	6 ECTS
	110AA	Financial Mathematics	6 ECTS
	112AA	Foundations of mathematics	6 ECTS
	099AA	Functional Analysis	6 ECTS
	172AA	Functional spaces	6 ECTS
	211AA	Game theory.	6 ECTS
	229AA	General topology	6 ECTS
	548AA	Geometric analysis	6 ECTS
	225AA	Geometric measure theory	6 ECTS
	124AA	Geometry and topology of surfaces	6 ECTS
	121AA	Geometry of metric spaces	6 ECTS
	057AA	Groups and representations	6 ECTS
	212AA	Group theory	6 ECTS
	090AA	Harmonic analysis	6 ECTS
	087AA	Higher algebra A	6 ECTS
	088AA	Higher algebra B	6 ECTS
	798AA	Higher Analysis A	6 ECTS
	799AA	Higher Analysis B	6 ECTS
	186AA	History of ancient mathematics and its tradition	6 ECTS
	106AA	Holomorphic dynamics	6 ECTS
	086AA	Homological algebra	6 ECTS
	105AA	Hyperbolic dynamics	6 ECTS
	556AA	Hyperbolic equations	6 ECTS
	125AA	Hyperbolic geometry	6 ECTS
	076AA	Hystory of Mathematics	6 ECTS
	609AA	Introduction to geometric measure theory	6 ECTS
	133AA	Introduction to p-adic analysis	6 ECTS
	018BB	Introduction to quantum mechanics	6 ECTS
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	6 ECTS
	807AA	L functions	6 ECTS
	089AA	Lie algebras and Lie groups	6 ECTS
	705AA	Linear algebraic groups	6 ECTS
	085AA	Linear and multilinear algebra.	6 ECTS
	152AA	Linear and nonlinear waves:	6 ECTS
	228AA	Low-dimensional topology and geometry	6 ECTS
	547AA	Mathematical analysis 3	6 ECTS
	796AA	Mathematical aspects in quantum computing	6 ECTS
	064AA	Mathematical Logic	6 ECTS
	147AA	Mathematical methods in Cryptography	6 ECTS
	559AA	Mathematical models in biomedicine and mathematical physics	6 ECTS
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	670AA	Mathematics for Teaching Middle School Part A	6 ECTS
	671AA	Mathematics for Teaching Middle School Part B	6 ECTS
	111AA	Math Physics	6 ECTS
	219AA	Measure theory	6 ECTS
	775AA	Methods of harmonic analysis in nonlinear analysis	6 ECTS
	094AA	Microlocal analysis	6 ECTS
	187AA	Minimal Surfaces	6 ECTS
	213AA	Model Theory.	6 ECTS
	113AA	Modular forms	6 ECTS
	698AA	Noncommutative algebra	6 ECTS
	095AA	Nonlinear analysis	6 ECTS
	552AA	Nonlinear capacity, variational inequalities and applications	6 ECTS
	550AA	Non-standard analysis	6 ECTS
	150AA	Numerical methods for Fourier analysis.	6 ECTS
	149AA	Numerical methods for graphics.	6 ECTS
	148AA	Numerical methods for Markov chains.	6 ECTS
	067AA	Numerical Methods for Ordinary Differential Equations	6 ECTS
	795AA	Numerical methods for partial differential equations	6 ECTS
	072AA	Operational research	6 ECTS
	611AA	Operational research and communication and transport nets.	6 ECTS
	216AA	Optimal control theory	6 ECTS
	101AA	Orbital determination	6 ECTS
	108AA	Ordinary differential equations	6 ECTS
	156AA	Origins and development of modern mathematics	6 ECTS
	781AA	p-adic Galois respresentations	6 ECTS
	557AA	Parabolic equations	6 ECTS
	545AA	Partial differential equations	6 ECTS
	553AA	Partial differential equations 2	6 ECTS
	015BB	Physics Complements	6 ECTS
	243BB	Physics III	6 ECTS
	247BB	Physics lab for teaching	6 ECTS
	703AA	Post-quantum cryptography	6 ECTS
	070AA	Probability	6 ECTS
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	166AA	Problem solving	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	6 ECTS
	551AA	Real analysis	6 ECTS
	126AA	Real geometry A	6 ECTS
	127AA	Real geometry B	6 ECTS
	128AA	Real geometry C	6 ECTS
	581AA	Relativistic mechanics	6 ECTS
	130AA	Riemannian geometry	6 ECTS
	044AA	Scientific Computing	6 ECTS
	215AA	Semigroup theory	6 ECTS
	767AA	Set Theory A	6 ECTS
	778AA	Set Theory B	6 ECTS
	794AA	Sobolev spaces	6 ECTS
	144AA	Space mechanics	6 ECTS
	114AA	Special functions	6 ECTS
	555AA	Stochastic differential equations and applications	6 ECTS
	071AA	Stochastic processes	6 ECTS
	185AA	Symmetric spaces	6 ECTS
	131AA	Symplectic geometry	6 ECTS
	201AA	Technologies for education	6 ECTS
	806AA	Theories in Mathematics education	6 ECTS
	577AA	Theory and methods of optimization	6 ECTS
	221AA	Theory of functions	6 ECTS
	151AA	Topological methods for differential equations	6 ECTS
	068AA	Topological methods in the global analysis	6 ECTS
	230AA	Ultrafilters and nonstandard methods	6 ECTS
Group ModAppl - Choice of 6 ECTS from:
	145AA	Advanced mechanics	6 ECTS
	669AA	Advanced Statistics	6 ECTS
	146AA	Approximation methods	6 ECTS
	142AA	Celestial mechanics	6 ECTS
	699AA	Data Analysis	6 ECTS
	074AA	Dynamical systems	6 ECTS
	580AA	Dynamics of the solar system	6 ECTS
	051AA	Elements of celestial mechanics	6 ECTS
	211AA	Game theory.	6 ECTS
	796AA	Mathematical aspects in quantum computing	6 ECTS
	075AA	Mathematical statistics	6 ECTS
	111AA	Math Physics	6 ECTS
	149AA	Numerical methods for graphics.	6 ECTS
	148AA	Numerical methods for Markov chains.	6 ECTS
	067AA	Numerical Methods for Ordinary Differential Equations	6 ECTS
	795AA	Numerical methods for partial differential equations	6 ECTS
	072AA	Operational research	6 ECTS
	101AA	Orbital determination	6 ECTS
	070AA	Probability	6 ECTS
	575AA	Rational mechanics	6 ECTS
	044AA	Scientific Computing	6 ECTS
	144AA	Space mechanics	6 ECTS
	577AA	Theory and methods of optimization	6 ECTS
Group ModTeor - Choice of 18 ECTS from:
	232AA	3-manifolds	6 ECTS
	038AA	Algebra 2	6 ECTS
	797AA	Algebraic combinatorics	6 ECTS
	115AA	Algebraic geometry A	6 ECTS
	116AA	Algebraic geometry B	6 ECTS
	117AA	Algebraic geometry C	6 ECTS
	077AA	Algebraic number theory 1	6 ECTS
	777AA	Algebraic topology A	6 ECTS
	766AA	Algebraic topology B	6 ECTS
	204AA	Analytic number theory A	6 ECTS
	210AA	Automated control theory	6 ECTS
	096AA	Calculus of variations A	6 ECTS
	091AA	Complex analysis A	6 ECTS
	123AA	Complex differential geometry	6 ECTS
	082AA	Computational commutative algebra and algebraic geometry	6 ECTS
	045AA	Computer algebra	6 ECTS
	083AA	Computer algebra A	6 ECTS
	084AA	Computer algebra B.	6 ECTS
	093AA	Convex analysis	6 ECTS
	055AA	Differential geometry and topology	6 ECTS
	227AA	Differential topology	6 ECTS
	080AA	Elementary number theory	6 ECTS
	049AA	Elements of algebraic geometry	6 ECTS
	054AA	Elements of algebraic topology	6 ECTS
	047AA	Elements of calculus of variations	6 ECTS
	046AA	Elements of complex analysis	6 ECTS
	053AA	Elements of Set Theory	6 ECTS
	109AA	Elliptic equations	6 ECTS
	554AA	Equations of fluid mechanics	6 ECTS
	168AA	Evolution problems	6 ECTS
	078AA	Field and Galois theories	6 ECTS
	124AA	Geometry and topology of surfaces	6 ECTS
	057AA	Groups and representations	6 ECTS
	090AA	Harmonic analysis	6 ECTS
	087AA	Higher algebra A	6 ECTS
	088AA	Higher algebra B	6 ECTS
	798AA	Higher Analysis A	6 ECTS
	799AA	Higher Analysis B	6 ECTS
	106AA	Holomorphic dynamics	6 ECTS
	556AA	Hyperbolic equations	6 ECTS
	125AA	Hyperbolic geometry	6 ECTS
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	6 ECTS
	228AA	Low-dimensional topology and geometry	6 ECTS
	547AA	Mathematical analysis 3	6 ECTS
	064AA	Mathematical Logic	6 ECTS
	219AA	Measure theory	6 ECTS
	213AA	Model Theory.	6 ECTS
	095AA	Nonlinear analysis	6 ECTS
	545AA	Partial differential equations	6 ECTS
	553AA	Partial differential equations 2	6 ECTS
	126AA	Real geometry A	6 ECTS
	127AA	Real geometry B	6 ECTS
	130AA	Riemannian geometry	6 ECTS
	767AA	Set Theory A	6 ECTS
	778AA	Set Theory B	6 ECTS
	794AA	Sobolev spaces	6 ECTS
	068AA	Topological methods in the global analysis	6 ECTS
	230AA	Ultrafilters and nonstandard methods	6 ECTS
Year 2 (2024/2025)
1227Z	Final proof		27 ECTS
	Free choice		6 ECTS
768AA	Principles of geometry		11 ECTS
Group ModAffInt - Choice of 18 ECTS from:
	231AA	2-manifolds	6 ECTS
	232AA	3-manifolds	6 ECTS
	233AA	4-manifolds	6 ECTS
	145AA	Advanced mechanics	6 ECTS
	107AA	Advanced numerical linear algebra	6 ECTS
	560AA	Advanced probability	6 ECTS
	669AA	Advanced Statistics	6 ECTS
	037AA	Algebra 1	6 ECTS
	038AA	Algebra 2	6 ECTS
	797AA	Algebraic combinatorics	6 ECTS
	115AA	Algebraic geometry A	6 ECTS
	116AA	Algebraic geometry B	6 ECTS
	117AA	Algebraic geometry C	6 ECTS
	118AA	Algebraic geometry D	6 ECTS
	119AA	Algebraic geometry E	6 ECTS
	120AA	Algebraic geometry F	6 ECTS
	608AA	Algebraic geometry G	6 ECTS
	077AA	Algebraic number theory 1	6 ECTS
	202AA	Algebraic number theory 2	6 ECTS
	706AA	Algebraic number theory 3	6 ECTS
	777AA	Algebraic topology A	6 ECTS
	766AA	Algebraic topology B	6 ECTS
	039AA	Algorithms and data structure	6 ECTS
	549AA	Analysis in metric spaces	6 ECTS
	204AA	Analytic number theory A	6 ECTS
	205AA	Analytic number theory B	6 ECTS
	701AA	Applications of Differential Equations in Biomedicine	6 ECTS
	700AA	Applications of fluid dynamics in biomedicine	6 ECTS
	146AA	Approximation methods	6 ECTS
	210AA	Automated control theory	6 ECTS
	096AA	Calculus of variations A	6 ECTS
	097AA	Calculus of variations B	6 ECTS
	220AA	Category theory	6 ECTS
	142AA	Celestial mechanics	6 ECTS
	209AA	Coding theory	6 ECTS
	079AA	Coding theory and cryptography	6 ECTS
	610AA	Combinatorial optimization	6 ECTS
	582AA	Complements of mathematics education	6 ECTS
	091AA	Complex analysis A	6 ECTS
	092AA	Complex analysis B	6 ECTS
	123AA	Complex differential geometry	6 ECTS
	217AA	Computability Theory	6 ECTS
	082AA	Computational commutative algebra and algebraic geometry	6 ECTS
	129AA	Computational real geometry	6 ECTS
	045AA	Computer algebra	6 ECTS
	083AA	Computer algebra A	6 ECTS
	084AA	Computer algebra B.	6 ECTS
	122AA	Contact geometry	6 ECTS
	143AA	Continuous mechanics	6 ECTS
	093AA	Convex analysis	6 ECTS
	132AA	Coxeter Groups	6 ECTS
	098AA	Cyclotomic fields	6 ECTS
	699AA	Data Analysis	6 ECTS
	222AA	Descriptive complexity theory	6 ECTS
	528AA	Didactics of mathematics and new technologies	6 ECTS
	055AA	Differential geometry and topology	6 ECTS
	155AA	Differential operators and index theorems	6 ECTS
	227AA	Differential topology	6 ECTS
	171AA	Discrete dynamical systems	6 ECTS
	139AA	Discrete mathematics	6 ECTS
	074AA	Dynamical systems	6 ECTS
	580AA	Dynamics of the solar system	6 ECTS
	065AA	Elementary mathematics from an advanced standpoint: arithmetic	6 ECTS
	066AA	Elementary mathematics from an advanced standpoint: geometry	6 ECTS
	080AA	Elementary number theory	6 ECTS
	049AA	Elements of algebraic geometry	6 ECTS
	054AA	Elements of algebraic topology	6 ECTS
	514AA	Elements of calculus of homogeneous groups	6 ECTS
	047AA	Elements of calculus of variations	6 ECTS
	051AA	Elements of celestial mechanics	6 ECTS
	046AA	Elements of complex analysis	6 ECTS
	050AA	Elements of Mathematical Logic	6 ECTS
	052AA	Elements of probability and statistics	6 ECTS
	053AA	Elements of Set Theory	6 ECTS
	704AA	Elliptic curves	6 ECTS
	109AA	Elliptic equations	6 ECTS
	554AA	Equations of fluid mechanics	6 ECTS
	224AA	Ergodic theory	6 ECTS
	702AA	Étale cohomology	6 ECTS
	168AA	Evolution problems	6 ECTS
	078AA	Field and Galois theories	6 ECTS
	110AA	Financial Mathematics	6 ECTS
	112AA	Foundations of mathematics	6 ECTS
	099AA	Functional Analysis	6 ECTS
	172AA	Functional spaces	6 ECTS
	211AA	Game theory.	6 ECTS
	229AA	General topology	6 ECTS
	548AA	Geometric analysis	6 ECTS
	225AA	Geometric measure theory	6 ECTS
	124AA	Geometry and topology of surfaces	6 ECTS
	121AA	Geometry of metric spaces	6 ECTS
	057AA	Groups and representations	6 ECTS
	212AA	Group theory	6 ECTS
	090AA	Harmonic analysis	6 ECTS
	087AA	Higher algebra A	6 ECTS
	088AA	Higher algebra B	6 ECTS
	798AA	Higher Analysis A	6 ECTS
	799AA	Higher Analysis B	6 ECTS
	186AA	History of ancient mathematics and its tradition	6 ECTS
	106AA	Holomorphic dynamics	6 ECTS
	086AA	Homological algebra	6 ECTS
	105AA	Hyperbolic dynamics	6 ECTS
	556AA	Hyperbolic equations	6 ECTS
	125AA	Hyperbolic geometry	6 ECTS
	076AA	Hystory of Mathematics	6 ECTS
	609AA	Introduction to geometric measure theory	6 ECTS
	133AA	Introduction to p-adic analysis	6 ECTS
	018BB	Introduction to quantum mechanics	6 ECTS
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	6 ECTS
	807AA	L functions	6 ECTS
	089AA	Lie algebras and Lie groups	6 ECTS
	705AA	Linear algebraic groups	6 ECTS
	085AA	Linear and multilinear algebra.	6 ECTS
	152AA	Linear and nonlinear waves:	6 ECTS
	228AA	Low-dimensional topology and geometry	6 ECTS
	547AA	Mathematical analysis 3	6 ECTS
	796AA	Mathematical aspects in quantum computing	6 ECTS
	064AA	Mathematical Logic	6 ECTS
	147AA	Mathematical methods in Cryptography	6 ECTS
	559AA	Mathematical models in biomedicine and mathematical physics	6 ECTS
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	670AA	Mathematics for Teaching Middle School Part A	6 ECTS
	671AA	Mathematics for Teaching Middle School Part B	6 ECTS
	111AA	Math Physics	6 ECTS
	219AA	Measure theory	6 ECTS
	775AA	Methods of harmonic analysis in nonlinear analysis	6 ECTS
	094AA	Microlocal analysis	6 ECTS
	187AA	Minimal Surfaces	6 ECTS
	213AA	Model Theory.	6 ECTS
	113AA	Modular forms	6 ECTS
	698AA	Noncommutative algebra	6 ECTS
	095AA	Nonlinear analysis	6 ECTS
	552AA	Nonlinear capacity, variational inequalities and applications	6 ECTS
	550AA	Non-standard analysis	6 ECTS
	150AA	Numerical methods for Fourier analysis.	6 ECTS
	149AA	Numerical methods for graphics.	6 ECTS
	148AA	Numerical methods for Markov chains.	6 ECTS
	067AA	Numerical Methods for Ordinary Differential Equations	6 ECTS
	795AA	Numerical methods for partial differential equations	6 ECTS
	072AA	Operational research	6 ECTS
	611AA	Operational research and communication and transport nets.	6 ECTS
	216AA	Optimal control theory	6 ECTS
	101AA	Orbital determination	6 ECTS
	108AA	Ordinary differential equations	6 ECTS
	156AA	Origins and development of modern mathematics	6 ECTS
	781AA	p-adic Galois respresentations	6 ECTS
	557AA	Parabolic equations	6 ECTS
	545AA	Partial differential equations	6 ECTS
	553AA	Partial differential equations 2	6 ECTS
	015BB	Physics Complements	6 ECTS
	243BB	Physics III	6 ECTS
	247BB	Physics lab for teaching	6 ECTS
	703AA	Post-quantum cryptography	6 ECTS
	070AA	Probability	6 ECTS
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	166AA	Problem solving	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	6 ECTS
	551AA	Real analysis	6 ECTS
	126AA	Real geometry A	6 ECTS
	127AA	Real geometry B	6 ECTS
	128AA	Real geometry C	6 ECTS
	581AA	Relativistic mechanics	6 ECTS
	130AA	Riemannian geometry	6 ECTS
	044AA	Scientific Computing	6 ECTS
	215AA	Semigroup theory	6 ECTS
	767AA	Set Theory A	6 ECTS
	778AA	Set Theory B	6 ECTS
	794AA	Sobolev spaces	6 ECTS
	144AA	Space mechanics	6 ECTS
	114AA	Special functions	6 ECTS
	555AA	Stochastic differential equations and applications	6 ECTS
	071AA	Stochastic processes	6 ECTS
	185AA	Symmetric spaces	6 ECTS
	131AA	Symplectic geometry	6 ECTS
	201AA	Technologies for education	6 ECTS
	806AA	Theories in Mathematics education	6 ECTS
	577AA	Theory and methods of optimization	6 ECTS
	221AA	Theory of functions	6 ECTS
	151AA	Topological methods for differential equations	6 ECTS
	068AA	Topological methods in the global analysis	6 ECTS
	230AA	Ultrafilters and nonstandard methods	6 ECTS