Elective Modules (75 ECTS)

Algebra, number theory, and discrete mathematics (51 ECTS)

Core modules algebra

• 250007 SE [ en ] Seminar Representation Theory and Automorphic Forms
• 250008 SE [ en ] Algebra
• 250060 VO [ en ] Algebraic number theory
• 250082 SE [ en ] Project seminar (Algebra)

Topics courses algebra

• 250029 PS [ en ] PS Algebraic Number Theory
• 250085 VU [ en ] Topics in Algebra: Cryptography
• 250110 VO [ en ] Alg Geom III
• 250143 VO [ en ] Topics in Combinatorics
• 442504 VO [ en ] Topics from Number Theory

Analysis (51 ECTS)

Core modules analysis

• 250045 SE [ en ] MCMP Seminar
• 250064 VO [ en ] Advanced complex analysis
• 250065 PS [ en ] PS Advanced complex analysis
• 250066 VO [ en ] Advanced partial differential equations
• 250086 SE [ en ] Seminar (Harmonic Analysis)
• 250147 SE [ en ] Seminar Applied Partial Differential Equations
• 250148 PS [ en ] PS Advanced partial differential equations
• 442502 SE [ en ] Seminar (Analysis): Generalized functions

Topics courses analysis

• 250044 VO [ en ] Fourier Methods on Manifolds with Applications
• 250046 VO [ en ] Constructive Approximation
• 250047 VO [ en ] Frame Theory
• 250048 VO [ en ] Numerics of Partial Differential Equations
• 250073 VO [ en ] Nonlinear Schrödinger and Wave equations
• 250075 VO [ en ] Sobolev Spaces and the Calculus of Variations
• 250084 VO [ en ] Inverse Problems
• 250115 VO [ en ] Complex Geometry and Elliptic Curves
• 250117 PS Introductory Seminar 'Complex Geometry'
• 250158 VO [ en ] Special Topics in Stochastics: Symbolic Dynamic

Applied mathematics and scientific computing (51 ECTS)

Core modules AMaSciCo

• 250062 VO [ en ] Applied analysis
• 250063 VO [ en ] Nonlinear optimization
• 250086 SE [ en ] Seminar (Harmonic Analysis)
• 250087 SE [ en ] Seminar (Calculus of Variations)
• 250109 SE [ en ] Seminar (Optimization)
• 250147 SE [ en ] Seminar Applied Partial Differential Equations
• 442501 SE [ en ] DK-SFB Seminar
• 442503 SE [ en ] Tomography Seminar

Topics courses AMaSciCo

• 250044 VO [ en ] Fourier Methods on Manifolds with Applications
• 250046 VO [ en ] Constructive Approximation
• 250047 VO [ en ] Frame Theory
• 250048 VO [ en ] Numerics of Partial Differential Equations
• 250073 VO [ en ] Nonlinear Schrödinger and Wave equations
• 250075 VO [ en ] Sobolev Spaces and the Calculus of Variations
• 250078 VO [ en ] Kinetic theory applied to biology
• 250084 VO [ en ] Inverse Problems
• 250085 VU [ en ] Topics in Algebra: Cryptography
• 250108 VO [ en ] Geometric Aspects of Statistical Learning Theory
• 250144 VO [ en ] Neural Network Theory

Biomathematics (51 ECTS)

Core modules biomathematics

• 250068 VO [ en ] Stochastic processes
• 250096 SE [ en ] Seminar in Biomathematics
• 250097 SE [ en ] Seminar (Mathematical Population Genetics)

Topics courses biomathematics

• 250078 VO [ en ] Kinetic theory applied to biology
• 250104 VO [ en ] Selected topics from Biomathematics
• 250106 VO [ en ] Advanced course in mathematical population genetics

Geometry and topology (51 ECTS)

Core modules geometry

• 250070 VO [ en ] Riemannian geometry
• 250071 VO [ en ] Lie groups
• 250103 PS [ en ] PS Riemannian Geometry
• 250154 PS [ en ] PS Lie groups
• 250166 SE [ en ] Characteristic classes

Topics courses geometry

• 250043 VO [ en ] Comparison Geometry
• 250044 VO [ en ] Fourier Methods on Manifolds with Applications
• 250108 VO [ en ] Geometric Aspects of Statistical Learning Theory
• 250115 VO [ en ] Complex Geometry and Elliptic Curves
• 250117 PS Introductory Seminar 'Complex Geometry'

Mathematical logic and theoretical computer science (51 ECTS)

Core modules logic

• 250074 VO [ en ] Introduction to theoretical computer science
• 250099 SE [ en ] Seminar in mathematical logic

Topics courses logic

• 250116 VO [ en ] Axiomatic Set Theory 2
• 250121 VO [ en ] Advanced topics in mathematical logic
• 442505 SE [ en ] Research Seminar in mathematical logic

Stochastics and dynamical systems (51 ECTS)

Core modules stochastics

• 250068 VO [ en ] Stochastic processes
• 250069 PS [ en ] PS Measure and integration theory
• 250076 VO [ en ] Measure and integration theory
• 250100 SE [ en ] Seminar Stochastics and dynamical systems
• 250102 SE [ en ] AG Ergodic Theory
• 250118 SE [ en ] Vienna Seminar in Mathematical Finance and Probability
• 250123 SE [ en ] Vienna Probability Seminar
• 250152 PS [ en ] PS Stochastic processes

Topics courses stochastics

• 250057 PS [ en ] Stochastic Analysis
• 250108 VO [ en ] Geometric Aspects of Statistical Learning Theory
• 250144 VO [ en ] Neural Network Theory
• 250157 VO [ en ] Stochastic Analysis
• 250158 VO [ en ] Special Topics in Stochastics: Symbolic Dynamic