Elective Modules (75 ECTS)

Specialization "Algebra, number theory and dicrete mathematics" (51 ECTS)

Basic courses, specialization "Algebra"

• 250039 SE [ en ] Algebra and Number Theory
• 250044 SE [ en ] Algebra
• 250045 SE [ en ] AG Discrete Mathematics
• 250046 SE [ en ] Geometry and Topology
• 250057 VO [ en ] Group theory
• 250058 PS [ en ] Introductory Seminar on group theory
• 510002 SE [ en ] Project Seminar Algebra (VSM)

Advanced courses, specialization "Algebra"

• 250021 VO [ en ] Selected Topics in Algebraic Number Theory
• 250025 PS [ en ] Selected Topics in Algebraic Number Theory
• 250042 VO [ en ] Analytic Number Theory
• 250059 VO [ en ] Diophantine Approximation
• 250062 VO [ en ] Topics in Combinatorics
• 250065 VO Topics in Algebraic Geometry 2
• 250066 VO [ en ] Introduction to p-adic Analysis
• 250067 PS [ en ] Introduction to p-adic Analysis

Specialization "Analysis" (51 ECTS)

• 250076 VO [ en ] Approximation Theory

Basic courses, specialization "Analysis"

• 250010 PS [ en ] Introductory Seminar on Dynamical System and Nonlinear Differential Equations
• 250034 SE [ en ] Topics in Analysis and Geometry
• 250072 SE [ en ] Complex Analysis Seminar
• 250081 VO [ en ] Real analysis
• 250085 SE [ en ] Seminar Analysis
• 250099 VO [ en ] Advanced functional analysis
• 250115 VO [ en ] Dynamical Systems and Nonlinear Differential Equations
• 250121 PS [ en ] Introductory seminar on Advanced functional analysis
• 250162 SE [ en ] MCMP Seminar
• 510003 SE [ en ] PDE Afternoon Seminar (VSM)
• 510004 SE [ en ] Harmonic Analysis (VSM)
• 510005 SE [ en ] Seminar on Calculus of Variations (VMS)

Advanced courses, specialization "Analysis"

• 250063 VO [ en ] Topics in the Calculus of Variations
• 250066 VO [ en ] Introduction to p-adic Analysis
• 250067 PS [ en ] Introduction to p-adic Analysis
• 250074 VO [ en ] Topics in Real Analysis
• 250075 VO Geometric Analysis of First Order Linear PDEs
• 250094 VO [ en ] Numerics of Partial Differential Equations
• 250095 VU [ en ] Mathematics of Machine Learning
• 250103 VU [ en ] Introduction to Mathematical Methods in Continuum Mechanics
• 250133 VO [ en ] Introduction to Geometric Measure Theory

Specialization "Applied mathematics and scientific computing" (51 ECTS)

Basic courses, specialization "AMaSciCo"

• 250035 SE [ en ] Seminar Optimization
• 250070 SE [ en ] Seminar Applied Mathematics
• 250071 PS [ en ] Introductory seminar on Advanced numerical analysis
• 250078 VO [ en ] Advanced numerical analysis
• 250084 SE [ en ] Mathematical/Computational Astro/Quantum Physics
• 250090 SE [ en ] Applied Machine Learning
• 250120 SE [ en ] ( REMOTE ) Joint Seminar with Fudan University and RICAM
• 250122 SE [ en ] Tomography 2
• 510003 SE [ en ] PDE Afternoon Seminar (VSM)
• 510004 SE [ en ] Harmonic Analysis (VSM)
• 510005 SE [ en ] Seminar on Calculus of Variations (VMS)

Advanced courses, specialization "AMaSciCo"

• 250043 VU [ en ] Kinetic Theory Applied to Biology
• 250049 VO [ en ] Spectral Graph Theory
• 250063 VO [ en ] Topics in the Calculus of Variations
• 250068 VO [ en ] Entanglement in quantum many-body systems: Mathematical results
• 250094 VO [ en ] Numerics of Partial Differential Equations
• 250095 VU [ en ] Mathematics of Machine Learning
• 250100 VO [ en ] Convex Optimization
• 250103 VU [ en ] Introduction to Mathematical Methods in Continuum Mechanics
• 250104 VO [ en ] Global Optimization

Specialization "Biomathematics" (51 ECTS)

Basic courses, specialization "Biomathematics"

• 250097 SE [ en ] Seminar (Mathematical Population Genetics)
• 250106 VO [ en ] Mathematical population genetics
• 250108 PS [ en ] Introductory seminar on mathematical population genetics
• 250115 VO [ en ] Dynamical Systems and Nonlinear Differential Equations
• 250128 SE [ en ] Seminar (AG Biomathematik)

Advanced courses, specialization "Biomathematics"

• 250010 PS [ en ] Introductory Seminar on Dynamical System and Nonlinear Differential Equations
• 250043 VU [ en ] Kinetic Theory Applied to Biology

Specialization "Geometry and Topology" (51 ECTS)

Basic courses, specialization "Geometry"

• 250034 SE [ en ] Topics in Analysis and Geometry
• 250046 SE [ en ] Geometry and Topology
• 250096 VO [ en ] Analysis on Manifolds
• 250150 VO [ en ] Low dimensional topology
• 250158 PS [ en ] Introductory seminar on Analysis on manifolds
• 250162 SE [ en ] MCMP Seminar

Advanced courses, specialization "Geometry"

• 250065 VO Topics in Algebraic Geometry 2
• 250105 SE [ en ] Seminar Geometry
• 250130 VO [ en ] Metric Geometry
• 250133 VO [ en ] Introduction to Geometric Measure Theory
• 250150 VO [ en ] Low dimensional topology

Specialization "Mathematical logic and theoretical informatics" (51 ECTS)

Basic courses, specialization "Logic"

• 250089 SE [ en ] Logic Colloquium
• 250102 SE [ en ] Research Seminar in Set Theory
• 250153 VO [ en ] Introduction to theoretical computer science
• 510010 SE [ en ] Seminar mathematics (doctoral programm) 2/4

Advanced courses, specialization "Logic"

• 250136 VO [ en ] Topics in Model Theory
• 250137 VO [ en ] Topics in Set Theory
• 250138 VO [ en ] Dynamics of Polish Groups

Specialization "Stochastics and dynamical systems" (51 ECTS)

Basic courses, speicialization "Stochastics"

• 250010 PS [ en ] Introductory Seminar on Dynamical System and Nonlinear Differential Equations
• 250092 SE [ en ] AG Ergodic Theory
• 250107 SE [ en ] Seminar Stochastics and Dynamics
• 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)

Advanced courses, specialization "Stochastics"

• 250016 VO [ en ] Mathematical Finance (Continuous Time)
• 250095 VU [ en ] Mathematics of Machine Learning
• 250101 PS [ en ] Mathematical Finance (Continuous Time)
• 250109 VO [ en ] Ergodic Theory
• 250133 VO [ en ] Introduction to Geometric Measure Theory
• 250138 VO [ en ] Dynamics of Polish Groups