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 ] Kombinatorik
• 250060 VO [ en ] Algebraic number theory
• 250082 SE [ en ] Project seminar (Algebra)

Topics courses algebra

• 250029 PS [ en ] PS Algebraic Number Theory
• 250031 VO [ en ] Computational Commutative Algebra
• 250038 PS [ en ] Computational Commutative Algebra
• 250040 VO [ en ] Introduction to schemes
• 250041 VO [ en ] Basic Algebraic Geometry
• 250042 PS [ en ] PS Basic Algebraic Geometry
• 250085 VU [ en ] Special Functions
• 250093 VO Singularitäten algebraischer Varietäten
• 250094 SE Singuläre Differentialgleichungen
• 250110 VO [ en ] Random Groups
• 250120 VO [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
• 250122 PS [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms

Analysis (51 ECTS)

Core modules analysis

• 250045 SE [ en ] MCMP Seminar
• 250049 SE [ en ] Generalized Functions
• 250064 VO [ en ] Advanced complex analysis
• 250065 PS [ en ] PS Advanced complex analysis
• 250066 VO [ en ] Advanced partial differential equations
• 250086 SE [ en ] Regularization and Inverse Problems
• 250135 SE [ en ] Decidability, Computability and Complexity
• 250147 SE [ en ] Frame Theory
• 250148 PS [ en ] PS Advanced partial differential equations
• 252501 SE [ en ] Seminar Applied and Computational PDE
• 510001 SE [ en ] DK-Seminar: Dissipation and dispersion in nonlinear partial differential equations
• 510003 SE [ en ] Seminar Harmonic Analysis (VSM)
• 510004 SE [ en ] Seminar on Calculus of Variations (VSM)

Topics courses analysis

• 250048 VO [ en ] Numerics of Partial Differential Equations
• 250058 VO [ en ] Topics in Complex Analysis
• 250073 VO [ en ] Nonlinear Schrödinger and Wave equations
• 250077 VO [ en ] Advanced Numerics: PDE
• 250079 VO [ en ] Reaction-Diffusion-Equations
• 250085 VU [ en ] Special Functions
• 250152 SE [ en ] Stochastic Analysis
• 250157 VO [ en ] Stochastic Analysis

Applied mathematics and scientific computing (51 ECTS)

Core modules AMaSciCo

• 250062 VO [ en ] Applied analysis
• 250063 VO [ en ] Nonlinear optimization
• 250086 SE [ en ] Regularization and Inverse Problems
• 250109 SE [ en ] Seminar (Optimization)
• 250135 SE [ en ] Decidability, Computability and Complexity
• 250147 SE [ en ] Frame Theory
• 252501 SE [ en ] Seminar Applied and Computational PDE
• 510001 SE [ en ] DK-Seminar: Dissipation and dispersion in nonlinear partial differential equations
• 510003 SE [ en ] Seminar Harmonic Analysis (VSM)
• 510004 SE [ en ] Seminar on Calculus of Variations (VSM)

Topics courses AMaSciCo

• 250031 VO [ en ] Computational Commutative Algebra
• 250038 PS [ en ] Computational Commutative Algebra
• 250048 VO [ en ] Numerics of Partial Differential Equations
• 250073 VO [ en ] Nonlinear Schrödinger and Wave equations
• 250075 VO [ en ] Compressive Sensing
• 250077 VO [ en ] Advanced Numerics: PDE
• 250079 VO [ en ] Reaction-Diffusion-Equations
• 250120 VO [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
• 250122 PS [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms

Biomathematics (51 ECTS)

Core modules biomathematics

• 250068 VO [ en ] Stochastic processes
• 250080 VO [ en ] Mathematical population genetics
• 250081 PS [ en ] Introductory seminar on Mathematical population genetics
• 250096 SE [ en ] Seminar (AG Biomathematik)
• 250097 SE [ en ] Seminar (Mathematical Population Genetics)

Topics courses biomathematics

• 250104 VO [ en ] Topics in Population Dynamics

Geometry and topology (51 ECTS)

Core modules geometry

• 250070 VO [ en ] Riemannian geometry
• 250071 VO [ en ] Lie groups
• 250091 VO [ en ] Algebraic topology
• 250103 PS [ en ] Algebraic Topology
• 250133 SE [ en ] Seminar Black Holes
• 250154 PS [ en ] Lie groups

Topics courses geometry

• 250043 VO [ en ] Gauge theory, Lagrangians, and Symmetries
• 250093 VO Singularitäten algebraischer Varietäten
• 250094 SE Singuläre Differentialgleichungen

Mathematical logic and theoretical computer science (51 ECTS)

Core modules logic

• 250095 VO [ en ] Introduction to mathematical logic
• 250098 PS [ en ] Introductory seminar on mathematical logic
• 250099 SE [ en ] Seminar in mathematical logic
• 510002 SE [ en ] Research Seminar in Mathematical Logic

Topics courses logic

• 250120 VO [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
• 250121 VO [ en ] Advanced topics in mathematical logic
• 250122 PS [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms

Stochastics and dynamical systems (51 ECTS)

Core modules stochastics

• 250068 VO [ en ] Stochastic processes
• 250069 PS [ en ] Measure and integration theory
• 250076 VO [ en ] Measure and integration theory
• 250100 SE [ en ] Stochastic processes
• 250101 SE [ en ] Seminar Stochastics and Dynamical Systems
• 250102 SE [ en ] AG Ergodic Theory
• 510005 SE [ en ] Vienna Seminar in Mathematical Finance and Probability (VSM)
• 510006 SE [ en ] Vienna Probability Seminar (VSM)

Topics courses stochastics

• 250105 VO Ergodic Theory
• 250152 SE [ en ] Stochastic Analysis
• 250157 VO [ en ] Stochastic Analysis