Master Mathematics (821 [2] - Version 2016)

Orientation Course

• 250147 OL [ en ] ( OV ) Information for beginning master students

Elective Modules (75 ECTS)

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

Core modules algebra

• 250002 VO [ en ] Combinatorics
• 250003 PS [ en ] Introductory seminar on Combinatorics
• 250060 VO [ en ] Algebraic Number Theory
• 250072 SE [ en ] Algebra
• 250074 SE [ en ] AG Diskrete Mathematik
• 250104 SE [ en ] Project Seminar (Algebra)
• 250161 SE [ en ] Seminar Geometry and Topology
• 510008 SE [ en ] Algebra and Number Theory

Topics courses algebra

• 250005 VO [ en ] Topics in Algebra: Cryptography
• 250006 VO [ en ] Galois Representations in Number Theory
• 250009 PS [ en ] Galois Representations in Number Theory
• 250010 VO [ en ] Topics in Algebraic Geometry
• 250025 VO [ en ] Differential Algebra and Fuchsian Differential Equations
• 250026 PS [ en ] Differential Algebra and Fuchsian Differential Equations
• 250042 PS [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
• 250078 VO [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
• 250100 PS [ en ] Introductory seminar on Algebraic number theory
• 250121 VO [ en ] Topics in Combinatorics
• 250126 VO [ en ] Lie Algebras and Representation Theory

Analysis (51 ECTS)

• 510009 VU [ en ] "VGSCO: Optimal Transport"

Core modules analysis

• 250045 SE [ en ] MCMP Seminar
• 250049 SE [ en ] ( GEMISCHT ) Topics in Analysis and Geometry
• 250064 VO [ en ] Advanced complex analysis
• 250066 VO [ en ] Advanced partial differential equations
• 250085 SE [ en ] Seminar Analysis
• 250096 SE [ en ] Synthetic Geometry and Optimal Transport
• 250140 PS [ en ] Introductory seminar on Advanced complex analysis
• 250148 PS [ en ] Introductory seminar on Advanced partial differential equations
• 250153 SE [ en ] Complex Analysis Seminar
• 510002 SE [ en ] PDE Afternoon Seminar (VSM)
• 510005 SE [ en ] Harmonic Analysis (VSM)

Topics courses analysis

• 250025 VO [ en ] Differential Algebra and Fuchsian Differential Equations
• 250026 PS [ en ] Differential Algebra and Fuchsian Differential Equations
• 250047 VO [ en ] Quantum Theory for Mathematicans
• 250061 VO [ en ] Numerical Relativity
• 250086 VO [ en ] Nonlinear Schrödinger and Wave Equations
• 250094 VO [ en ] Operator Theory
• 250139 VO [ en ] Stochastic Methods in Optimal Transport Theory
• 250152 PS [ en ] Stochastic Analysis
• 250157 VO [ en ] Stochastic Analysis

Applied mathematics and scientific computing (51 ECTS)

• 250043 VU [ en ] Tomography

Core modules AMaSciCo

• 250041 SE [ en ] Seminar Applied Mathematics
• 250062 VO [ en ] Applied analysis
• 250063 VO [ en ] Nonlinear Optimization
• 250093 SE [ en ] Joint Seminar with Fudan University and RICAM
• 250109 SE [ en ] Seminar (Optimization)
• 250143 SE [ en ] Mathematical/Computational Astro/Quantum Physics
• 250160 SE [ en ] Tomography 1
• 510002 SE [ en ] PDE Afternoon Seminar (VSM)
• 510005 SE [ en ] Harmonic Analysis (VSM)

Topics courses AMaSciCo

• 250042 PS [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
• 250047 VO [ en ] Quantum Theory for Mathematicans
• 250061 VO [ en ] Numerical Relativity
• 250078 VO [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
• 250081 VU [ en ] Tensor Methods for Data Science and Scientific Computing
• 250086 VO [ en ] Nonlinear Schrödinger and Wave Equations
• 250116 VO [ en ] Introduction to complex network analysis
• 250117 PS [ en ] Introduction to complex network analysis
• 510009 VU [ en ] "VGSCO: Optimal Transport"

Biomathematics (51 ECTS)

Core modules biomathematics

• 250068 VO [ en ] Stochastic processes
• 250110 SE [ en ] Seminar (Mathematical Population Genetics)
• 250145 SE [ en ] AG Biomathematics

Topics courses biomathematics

• 250107 PS [ en ] Stochastic Processes
• 250116 VO [ en ] Introduction to complex network analysis
• 250117 PS [ en ] Introduction to complex network analysis
• 250156 VU [ en ] Modeling in evolutionary ecology and epidemiology

Geometry and topology (51 ECTS)

Core modules geometry

• 250049 SE [ en ] ( GEMISCHT ) Topics in Analysis and Geometry
• 250070 VO [ en ] ( GEMISCHT ) Riemannian Geometry
• 250071 VO [ en ] Lie groups
• 250096 SE [ en ] Synthetic Geometry and Optimal Transport
• 250154 PS [ en ] Lie groups
• 250161 SE [ en ] Seminar Geometry and Topology

Topics courses geometry

• 250010 VO [ en ] Topics in Algebraic Geometry
• 250123 VO [ en ] ( GEMISCHT ) Gauge Theory, Lagrangians, and Symmetries
• 250125 VO [ en ] Algebraic Topology 2
• 250126 VO [ en ] Lie Algebras and Representation Theory

Mathematical logic and theoretical computer science (51 ECTS)

Core modules logic

• 250097 VO [ en ] Introduction to Mathematical logic
• 250099 SE [ en ] Research seminar in set theory
• 250124 SE [ en ] Logic Colloquium
• 250135 PS [ en ] Introduction to Mathematical Logic
• 250136 VO [ en ] Axiomatic Set theory 1
• 250137 PS [ en ] Axiomatic Set theory 1
• 510004 SE [ en ] Research seminar in Model Theory

Topics courses logic

• 250042 PS [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
• 250078 VO [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
• 250138 VO [ en ] Model Theory

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
• 250101 SE [ en ] Seminar Stochastics
• 250102 SE [ en ] AG Ergodic Theory
• 250107 PS [ en ] Stochastic Processes
• 510006 SE [ en ] Vienna Seminar in Mathematical Finance and Probability (VSM)
• 510007 SE [ en ] Vienna Probability Seminar (VSM)
• 510009 VU [ en ] "VGSCO: Optimal Transport"

Topics courses stochastics

• 250139 VO [ en ] Stochastic Methods in Optimal Transport Theory
• 250152 PS [ en ] Stochastic Analysis
• 250157 VO [ en ] Stochastic Analysis

Further Electives (Wahlbereich) (15 ECTS)

• 250129 VO [ en ] Topics from Habilitations
• 250147 OL [ en ] ( OV ) Information for beginning master students