Master Mathematics (821 [2] - Version 2016)

Elective Modules (75 ECTS)

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

Core modules algebra

• 250004 SE [ en ] Seminar in Algebra and Number Theory
• 250057 VO [ en ] Group theory
• 250058 PS [ en ] Introductory seminar on group theory
• 250059 VO [ en ] Combinatorics
• 250060 PS [ en ] Introductory seminar on Combinatorics
• 250065 SE [ en ] ( VOR-ORT ) Seminar Discrete Mathematics
• 250142 SE [ en ] ( GEMISCHT ) Project Seminar (Algebra)
• 510001 SE [ en ] Representation Theory and Automorphic Forms (VSM)

Topics courses algebra

• 250030 VO [ en ] ( GEMISCHT ) Homological Algebra
• 250049 VO [ en ] Commutative Algebra
• 250073 VU [ en ] Topics in Combinatorics
• 250130 VO [ en ] Topics in Algebra: Coxeter Groups
• 250161 PS [ en ] Homological Algebra

Analysis (51 ECTS)

Core modules analysis

• 250010 PS [ en ] Introductory Seminar on Dynamical System and Nonlinear Differential Equations
• 250034 SE [ en ] ( GEMISCHT ) Topics in Analysis and Geometry
• 250081 VO [ en ] Real analysis
• 250085 SE [ en ] ( DIGITAL ) Seminar: Analysis
• 250099 VO [ en ] Advanced functional analysis
• 250115 VO [ en ] Dynamical systems and nonlinear differential equations
• 250121 PS [ en ] ( GEMISCHT ) Introductory seminar on Advanced functional analysis
• 250162 SE [ en ] MCMP Seminar
• 510002 SE [ en ] Seminar on Calculus of Variations (VSM)
• 510003 SE [ en ] PDE Afternoon Seminar (VSM)
• 510004 SE [ en ] Harmonic Analysis (VSM)

Topics courses analysis

• 250005 VO [ en ] Approximation Theory
• 250077 VO [ en ] Optimal Transport
• 250086 VO [ en ] ( GEMISCHT ) Moment Problems and Optimal Control
• 250186 VO [ en ] Geometric Measure Theory and Dynamics

Applied mathematics and scientific computing (51 ECTS)

Core modules AMaSciCo

• 250006 SE [ en ] Seminar: Image Processing
• 250035 SE [ en ] ( GEMISCHT ) Seminar Optimization
• 250070 SE [ en ] ( GEMISCHT ) Seminar Applied PDE
• 250071 PS [ en ] Introductory seminar Advanced numerical analysis
• 250078 VO [ en ] Advanced numerical analysis
• 250084 SE [ en ] ( GEMISCHT ) Mathematical/Computational Astro/Quantum Physics
• 250104 SE [ en ] ( DIGITAL ) Project-Seminar Tomography Across the Scales
• 510002 SE [ en ] Seminar on Calculus of Variations (VSM)
• 510003 SE [ en ] PDE Afternoon Seminar (VSM)
• 510004 SE [ en ] Harmonic Analysis (VSM)

Topics courses AMaSciCo

• 250005 VO [ en ] Approximation Theory
• 250039 VO [ en ] ( DIGITAL ) Artificial Intelligence
• 250042 VU [ en ] ( GEMISCHT ) Mathematics of Machine Learning
• 250079 VO [ en ] Topics in Finite Elements
• 250086 VO [ en ] ( GEMISCHT ) Moment Problems and Optimal Control
• 250110 VO [ en ] Introduction to Reinforcement Learning
• 510009 VU [ en ] VGSCO: Approximation Algorithms

Biomathematics (51 ECTS)

Core modules biomathematics

• 250087 VO [ en ] Mathematical population genetics
• 250088 PS [ en ] Introductory Seminar on Mathematical Population Genetics
• 250094 SE [ en ] Seminar (Mathematical Population Genetics)
• 250115 VO [ en ] Dynamical systems and nonlinear differential equations

Topics courses biomathematics

• 250010 PS [ en ] Introductory Seminar on Dynamical System and Nonlinear Differential Equations
• 250031 VU [ en ] Modelling Interacting Particle Systems in Science
• 250105 SE [ en ] Complex Network Analysis Project
• 550001 VO+SE [ en ] Molecular Population Genetics: making sense of sequence data

Geometry and topology (51 ECTS)

Core modules geometry

• 250034 SE [ en ] ( GEMISCHT ) Topics in Analysis and Geometry
• 250044 SE [ en ] Geometry of Black Holes
• 250096 VO [ en ] ( GEMISCHT ) Analysis on manifolds
• 250158 PS [ en ] ( GEMISCHT ) Introductory seminar on Analysis on manifolds
• 250162 SE [ en ] MCMP Seminar

Topics courses geometry

• 250045 VO [ en ] Quantum Invariants in Low-Dimensional Topology
• 250047 VO [ en ] Topics in Geometric Analysis

Mathematical logic and theoretical computer science (51 ECTS)

Core modules logic

• 250089 SE [ en ] Logic Colloquium
• 250100 VO [ en ] ( GEMISCHT ) Axiomatic set theory 1
• 250102 SE [ en ] ( GEMISCHT ) Research Seminar in Set Theory
• 250179 PS [ en ] Introductory seminar on Axiomatic set theory 1
• 510008 SE [ en ] Research Seminar in Model Theory (VSM)

Topics courses logic

• 250053 VO [ en ] ( GEMISCHT ) Special Topics in Set Theory
• 250091 VO [ en ] Special Topics in Model Theory

Stochastics and dynamical systems (51 ECTS)

Core modules stochastics

• 250010 PS [ en ] Introductory Seminar on Dynamical System and Nonlinear Differential Equations
• 250092 SE [ en ] AG Ergodic Theory
• 250107 SE [ en ] Stochastics and Dynamical Systems
• 250115 VO [ en ] Dynamical systems and nonlinear differential equations
• 250185 PS [ en ] Introductory seminar on Advanced probability theory
• 250189 VO [ en ] Advanced probability theory
• 510006 SE [ en ] Vienna Seminar in Mathematical Finance and Probability (VSM)
• 510007 SE [ en ] Vienna Probability Seminar (VSM)

Topics courses stochastics

• 250016 VO [ en ] Mathematical Finance (Continuous Time)
• 250093 VO [ en ] Lattice Models
• 250095 PS [ en ] Lattice Models
• 250097 VO [ en ] Homogeneous Dynamics
• 250101 PS [ en ] Mathematical Finance (Continuous Time)
• 250186 VO [ en ] Geometric Measure Theory and Dynamics

Further Electives (Wahlbereich) (15 ECTS)

• 250031 VU [ en ] Modelling Interacting Particle Systems in Science
• 250036 VO [ en ] Topics from Habilitations
• 260075 SE [ en ] Quantum Information and Quantum Many-Body Physics (Journal Club)