Elective Modules (75 ECTS)

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

Core modules algebra

• 250007 SE [ en ] ( VOR-ORT ) Seminar: Algebra
• 250060 VO [ en ] ( DIGITAL ) Algebraic number theory

Topics courses algebra

• 250029 PS [ en ] ( VOR-ORT ) Introductory seminar Algebraic Number Theory
• 250031 VO [ en ] ( GEMISCHT ) Topics Course Number Theory
• 250038 PS [ en ] ( GEMISCHT ) Topics Course Number Theory
• 250042 PS [ en ] ( VOR-ORT ) Quantum Information, Quantum Computing, and Quantum Algorithms
• 250078 VO [ en ] ( VOR-ORT ) Quantum Information, Quantum Computing, and Quantum Algorithms
• 250110 VO [ en ] ( GEMISCHT ) Advanced Topics in Algebraic Geometry
• 250137 VO [ en ] ( DIGITAL ) Moduli of n points on the projective line

Analysis (51 ECTS)

Core modules analysis

• 250045 SE [ en ] ( GEMISCHT ) MCMP Seminar
• 250049 SE [ en ] ( DIGITAL ) Topics in Analysis and Geometry
• 250064 VO [ en ] ( VOR-ORT ) Advanced complex analysis
• 250065 PS [ en ] ( VOR-ORT ) Introductory seminar on Advanced complex analysis
• 250066 VO [ en ] ( VOR-ORT ) Advanced partial differential equations
• 250084 SE [ en ] ( DIGITAL ) Optimal Transport and Riemannian Geometry
• 250148 PS [ en ] ( GEMISCHT ) Introductory seminar on Advanced partial differential equations
• 510002 SE [ en ] ( DIGITAL ) Seminar on Calculus of Variations (VSM)
• 510003 SE [ en ] ( DIGITAL ) DK-Seminar: Dissipation and Dispersion in Nonlinear PDEs (VSM)
• 510004 SE [ en ] ( VOR-ORT ) Seminar Harmonic Analysis (VSM)

Topics courses analysis

• 250048 VO [ en ] ( VOR-ORT ) Numerics of Partial Differential Equations
• 250075 VO [ en ] ( GEMISCHT ) Nonlinear Schrödinger and Wave equations
• 250087 VO [ en ] ( VOR-ORT ) Frame Theory
• 250089 VO [ en ] ( VOR-ORT ) Topics in Harmonic Analysis
• 250130 VO [ en ] ( GEMISCHT ) Gabor Analysis: From Linear Algebra to Computational Harmonic Analysis
• 250136 VU [ en ] ( VOR-ORT ) Lower semicontinuity of integral functionals and applications

Applied mathematics and scientific computing (51 ECTS)

Core modules AMaSciCo

• 250062 VO [ en ] ( GEMISCHT ) Applied analysis
• 250063 VO [ en ] ( DIGITAL ) Nonlinear optimization
• 250086 SE [ en ] ( GEMISCHT ) Inverse Problems III
• 250090 SE [ en ] ( GEMISCHT ) Seminar Applied and Computational PDE
• 250109 SE [ en ] ( GEMISCHT ) Seminar (Optimization)
• 510002 SE [ en ] ( DIGITAL ) Seminar on Calculus of Variations (VSM)
• 510003 SE [ en ] ( DIGITAL ) DK-Seminar: Dissipation and Dispersion in Nonlinear PDEs (VSM)
• 510004 SE [ en ] ( VOR-ORT ) Seminar Harmonic Analysis (VSM)

Topics courses AMaSciCo

• 250042 PS [ en ] ( VOR-ORT ) Quantum Information, Quantum Computing, and Quantum Algorithms
• 250048 VO [ en ] ( VOR-ORT ) Numerics of Partial Differential Equations
• 250075 VO [ en ] ( GEMISCHT ) Nonlinear Schrödinger and Wave equations
• 250078 VO [ en ] ( VOR-ORT ) Quantum Information, Quantum Computing, and Quantum Algorithms
• 250085 VU [ en ] ( GEMISCHT ) Tensor methods for data science and scientific computing
• 250087 VO [ en ] ( VOR-ORT ) Frame Theory
• 250089 VO [ en ] ( VOR-ORT ) Topics in Harmonic Analysis
• 250092 VO [ en ] ( GEMISCHT ) Convex Optimization
• 250106 VO [ en ] ( GEMISCHT ) Neural Network Theory
• 250116 VO [ en ] ( GEMISCHT ) Introduction to complex network analysis
• 250117 PS [ en ] ( GEMISCHT ) Introduction to complex network analysis
• 250130 VO [ en ] ( GEMISCHT ) Gabor Analysis: From Linear Algebra to Computational Harmonic Analysis
• 250136 VU [ en ] ( VOR-ORT ) Lower semicontinuity of integral functionals and applications

Biomathematics (51 ECTS)

Core modules biomathematics

• 250068 VO [ en ] ( GEMISCHT ) Stochastic processes
• 250081 PS [ en ] ( GEMISCHT ) Introductory seminar on Mathematical Ecology
• 250097 SE [ en ] ( GEMISCHT ) Seminar (Mathematical Population Genetics)
• 250108 VO [ en ] ( GEMISCHT ) Mathematical Ecology
• 510005 SE [ en ] ( GEMISCHT ) AG Biomathematics (VSM)

Topics courses biomathematics

• 250107 PS [ en ] ( GEMISCHT ) Stochastic Processes
• 250115 VO [ en ] ( VOR-ORT ) Mathematical models of chemical and metabolic networks
• 250116 VO [ en ] ( GEMISCHT ) Introduction to complex network analysis
• 250117 PS [ en ] ( GEMISCHT ) Introduction to complex network analysis

Geometry and topology (51 ECTS)

Core modules geometry

• 250049 SE [ en ] ( DIGITAL ) Topics in Analysis and Geometry
• 250070 VO [ en ] ( GEMISCHT ) Riemannian geometry
• 250071 VO [ en ] ( DIGITAL ) Lie groups
• 250084 SE [ en ] ( DIGITAL ) Optimal Transport and Riemannian Geometry
• 250091 VO [ en ] ( GEMISCHT ) Algebraic topology
• 250103 PS [ en ] ( VOR-ORT ) Algebraic Topology
• 250154 PS [ en ] ( GEMISCHT ) Lie groups

Topics courses geometry

• 250093 VO [ en ] ( GEMISCHT ) G-Structures
• 250110 VO [ en ] ( GEMISCHT ) Advanced Topics in Algebraic Geometry
• 250138 VO [ en ] ( GEMISCHT ) Introduction to large scale geometry

Mathematical logic and theoretical computer science (51 ECTS)

Core modules logic

• 250095 VO [ en ] ( VOR-ORT ) Introduction to mathematical logic
• 250098 PS [ en ] ( GEMISCHT ) Introductory seminar on mathematical logic
• 250099 SE [ en ] ( GEMISCHT ) Research seminar in set theory
• 250118 SE [ en ] ( GEMISCHT ) Research seminar in model theory
• 250124 SE [ en ] ( GEMISCHT ) Logic Colloquium

Topics courses logic

• 250042 PS [ en ] ( VOR-ORT ) Quantum Information, Quantum Computing, and Quantum Algorithms
• 250078 VO [ en ] ( VOR-ORT ) Quantum Information, Quantum Computing, and Quantum Algorithms
• 250119 VO [ en ] ( GEMISCHT ) Model theory
• 250123 VO [ en ] ( GEMISCHT ) Special Topics in Set Theory

Stochastics and dynamical systems (51 ECTS)

Core modules stochastics

• 250068 VO [ en ] ( GEMISCHT ) Stochastic processes
• 250069 PS [ en ] ( GEMISCHT ) Measure and integration theory
• 250076 VO [ en ] ( GEMISCHT ) Measure and integration theory
• 250101 SE [ en ] ( VOR-ORT ) Stochastics and Dynamical Systems
• 250102 SE [ en ] ( GEMISCHT ) AG Ergodic Theory
• 250107 PS [ en ] ( GEMISCHT ) Stochastic Processes
• 510006 SE [ en ] ( VOR-ORT ) Vienna Seminar in Mathematical Finance and Probability (VSM)
• 510007 SE [ en ] ( VOR-ORT ) Vienna Probability Seminar (VSM)

Topics courses stochastics

• 250105 VO [ en ] ( GEMISCHT ) Ergodic Theory
• 250106 VO [ en ] ( GEMISCHT ) Neural Network Theory
• 250128 VO [ en ] ( GEMISCHT ) Martingale optimal transport
• 250152 PS [ en ] ( GEMISCHT ) Stochastic Analysis
• 250157 VO [ en ] ( GEMISCHT ) Stochastic Analysis