Elective Modules (75 ECTS)

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

Basic courses, specialization "Algebra"

• 250038 KO [ en ] Tutorial on Combinatorics
• 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
• 250060 PS [ en ] Introductory Seminar on Combinatorics
• 510002 SE [ en ] Project Seminar Algebra (VSM)

Advanced courses, specialization "Algebra"

• 250030 VO [ en ] Homological Algebra
• 250047 PS [ en ] Advanced topics in global number theory
• 250086 VO [ en ] From Elliptic Curves to Fermat's Last Theorem
• 250087 VO [ en ] Advanced topics in global number theory
• 250098 VU [ en ] Automorphic forms and L-functions: Theory and applications
• 250111 VO [ en ] Topics in Algebra: Cryptography
• 250113 VO [ en ] Topics in Number Theory
• 250116 VO [ en ] Computational Group Theory
• 250161 PS [ en ] From Elliptic Curves to Fermat's Last Theorem

Specialization "Analysis" (51 ECTS)

Basic courses, specialization "Analysis"

• 250010 PS [ en ] Introductory Seminar on Dynamical System and Nonlinear Differential Equations
• 250034 SE [ en ] ( MIXED ) Topics in Analysis and Geometry
• 250081 VO [ en ] Real analysis
• 250085 SE [ en ] ( MIXED ) 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"

• 250053 VU [ en ] Computational Fourier Analysis
• 250063 VO [ en ] Mathematics of Deep Learning
• 250077 VO [ en ] Stochastic Mass Transport
• 250088 VU [ en ] Gamma-Convergence and Phase Transitions of Heterogeneous Materials

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
• 250120 SE [ en ] Joint Seminar with Fudan University and RICAM
• 250122 SE [ en ] Tomography 3
• 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 ] Stochastic Algorithms
• 250053 VU [ en ] Computational Fourier Analysis
• 250063 VO [ en ] Mathematics of Deep Learning
• 250068 VO [ en ] Entanglement in quantum many-body systems: Mathematical results
• 250079 VO [ en ] Topics in Finite Elements
• 250088 VU [ en ] Gamma-Convergence and Phase Transitions of Heterogeneous Materials
• 250091 VO [ en ] Number theoretic methods in numerical analysis
• 250111 VO [ en ] Topics in Algebra: Cryptography
• 250155 VU [ en ] Cosmic Structures: Theory, Numerics, and Statistics
• 260050 VO [ en ] Entanglement in quantum many-body systems

Specialization "Biomathematics" (51 ECTS)

Basic courses, specialization "Biomathematics"

• 250097 SE [ en ] Seminar (Mathematical Population Genetics)
• 250115 VO [ en ] Dynamical Systems and Nonlinear Differential Equations
• 250126 VO [ en ] Mathematical Ecology
• 250127 PS [ en ] Introductory Seminar on Mathematical Ecology
• 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
• 550002 VO+SE [ en ] Molecular Population Genetics: making sense of sequence data

Specialization "Geometry and Topology" (51 ECTS)

Basic courses, specialization "Geometry"

• 250034 SE [ en ] ( MIXED ) Topics in Analysis and Geometry
• 250046 SE [ en ] Geometry and Topology
• 250096 VO [ en ] Analysis on Manifolds
• 250129 VO [ en ] Algebraic Topology
• 250131 PS [ en ] Algebraic Topology
• 250132 SE [ en ] Geometry of Black Holes
• 250158 PS [ en ] Introductory seminar on Analysis on manifolds
• 250162 SE [ en ] MCMP Seminar

Advanced courses, specialization "Geometry"

• 250086 VO [ en ] From Elliptic Curves to Fermat's Last Theorem
• 250133 VO [ en ] ( MIXED ) Principal Fiber Bundles
• 250161 PS [ en ] From Elliptic Curves to Fermat's Last Theorem

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

Basic courses, specialization "Logic"

• 250069 VO [ en ] Special Topics in Set Theory
• 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"

• 250073 VO [ en ] Special Topics in Model Theory

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
• 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)
• 250049 VO [ en ] Stochastic Algorithms
• 250063 VO [ en ] Mathematics of Deep Learning
• 250077 VO [ en ] Stochastic Mass Transport
• 250101 PS [ en ] Mathematical Finance (Continuous Time)