Master Mathematics (821 [2] - Version 2016)

Elective Modules (75 ECTS)

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

Basic courses, specialization "Algebra"

• 250057 VO [ en ] Group theory
• 250058 PS [ en ] Introductory seminar on group theory
• 250059 VO [ en ] Combinatorics
• 250060 PS [ en ] Introductory seminar on Combinatorics
• 250142 SE [ en ] Project Seminar (Algebra)
• 250065 SE [ en ] Seminar Discrete Mathematics
• 510002 SE [ en ] Representation Theory and Automorphic Forms VSM

Advanced courses, specialization "Algebra"

• 250033 VO Real Algebraic Geometry and Polynomial Optimization
• 250048 VO [ en ] Lie Algebras and Representation Theory
• 250076 VO [ en ] Algebra versus Analysis
• 250124 VO [ en ] Analytic Number Theory
• 250130 VO [ en ] Advanced Algebraic Geometry
• 250161 PS [ en ] Introductory seminar on Advanced Algebraic Geometry
• 250196 VO [ en ] Locally Compact Groups

Specialization "Analysis" (51 ECTS)

Basic courses, specialization "Analysis"

• 250081 VO [ en ] Real analysis
• 250099 VO [ en ] Advanced functional analysis
• 250121 PS [ en ] Introductory seminar on Advanced functional analysis
• 250115 VO [ en ] Dynamical systems and nonlinear differential equations
• 250010 PS [ en ] Introductory Seminar on Dynamical System and Nonlinear Differential Equations
• 250085 SE [ en ] Seminar: Analysis
• 250070 SE [ en ] Seminar Applied and Computational PDE
• 250034 SE [ en ] Generalized Functions
• 250162 SE [ en ] MCMP Seminar
• 510001 SE [ en ] DK-Seminar: Dissipation and dispersion in nonlinear partial differential equations
• 510003 SE [ en ] Seminar on Calculus of Variations VSM
• 510004 SE [ en ] Harmonic Analysis VSM

Advanced courses, specialization "Analysis"

• 250005 VO [ en ] Time-Frequency Analysis
• 250076 VO [ en ] Algebra versus Analysis
• 250033 VO Real Algebraic Geometry and Polynomial Optimization
• 250039 VO [ en ] Convex Analysis
• 250040 VO [ en ] Stochastic Partial Differential Equations
• 250067 VO [ en ] Probabilistic Methods in Analysis
• 250072 VO [ en ] Soliton stability in nonlinear dispersive PDEs set on the line
• 250196 VO [ en ] Locally Compact Groups
• 520017 VU [ en ] ( VDS-PH ) Partial Differential Equations in Mathematical Physics

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

Basic courses, specialization "AMaSciCo"

• 250078 VO [ en ] Advanced numerical analysis
• 250071 PS [ en ] Introductory seminar Advanced numerical analysis
• 250006 SE [ en ] Regularization and Inverse Problems II
• 250070 SE [ en ] Seminar Applied and Computational PDE
• 510001 SE [ en ] DK-Seminar: Dissipation and dispersion in nonlinear partial differential equations
• 510003 SE [ en ] Seminar on Calculus of Variations VSM
• 510004 SE [ en ] Harmonic Analysis VSM
• 250035 SE [ en ] Optimization

Advanced courses, specialization "AMaSciCo"

• 250005 VO [ en ] Time-Frequency Analysis
• 250016 VO [ en ] Stochastic Mass Transport
• 250033 VO Real Algebraic Geometry and Polynomial Optimization
• 250039 VO [ en ] Convex Analysis
• 250040 VO [ en ] Stochastic Partial Differential Equations
• 250041 VO [ en ] Low-rank tensors and the data-driven solution of PDEs
• 250042 VU [ en ] Mathematics of Machine Learning
• 250043 VU [ en ] Kinetic Theory Applied to Biology
• 250061 VU [ en ] Cosmological Structures: Theory, Numerics and Statistics
• 250067 VO [ en ] Probabilistic Methods in Analysis
• 250074 VO [ en ] Deep Learning
• 250079 VO [ en ] Topics in Finite Elements
• 520017 VU [ en ] ( VDS-PH ) Partial Differential Equations in Mathematical Physics

Specialization "Biomathematics" (51 ECTS)

Basic courses, specialization "Biomathematics"

• 250094 SE [ en ] Mathematical Population Genetics
• 510009 SE [ en ] AG Biomathematics VSM
• 250115 VO [ en ] Dynamical systems and nonlinear differential equations
• 250010 PS [ en ] Introductory Seminar on Dynamical System and Nonlinear Differential Equations

Advanced courses, specialization "Biomathematics"

• 250043 VU [ en ] Kinetic Theory Applied to Biology
• 250054 VO [ en ] Probabilistic Models in Biomathematics
• 250141 VO [ en ] Game Theory
• 550001 VO+SE [ en ] Molecular Population Genetics: making sense of sequence data

Specialization "Geometry and Topology" (51 ECTS)

Basic courses, specialization "Geometry"

• 250096 VO [ en ] Analysis on manifolds
• 250158 PS [ en ] Introductory seminar on Analysis on manifolds
• 250044 SE [ en ] Low Dimensional Topology
• 250034 SE [ en ] Generalized Functions
• 250162 SE [ en ] MCMP Seminar

Advanced courses, specialization "Geometry"

• 250033 VO Real Algebraic Geometry and Polynomial Optimization
• 250045 VO Contact Topology
• 250047 VO [ en ] Lorentzian Geometry
• 250048 VO [ en ] Lie Algebras and Representation Theory

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

Basic courses, specialization "Logic"

• 250100 VO [ en ] Axiomatic set theory 1
• 250179 PS [ en ] Introductory seminar on Axiomatic set theory 1
• 250052 VO [ en ] Introduction to Theoretical Computer Science
• 250103 SE [ en ] Seminar in Mathematical Logic
• 510005 SE [ en ] Research Seminar in Mathematical Logic VSM

Advanced courses, specialization "Logic"

• 250053 VO [ en ] Model Theory of Valued Fields

Specialization "Stochastics and dynamical systems" (51 ECTS)

Basic courses, speicialization "Stochastics"

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

Advanced courses, specialization "Stochastics"

• 250016 VO [ en ] Stochastic Mass Transport
• 250067 VO [ en ] Probabilistic Methods in Analysis
• 250186 VO [ en ] Selected Topics in Dynamics and Ergodic Theory

Further Electives (15 ECTS)

• 250023 KO Mathematics and Philosophy
• 250031 VU [ en ] Modelling Interacting Particle Systems in Science
• 250036 VO [ en ] Topics from Habilitations
• 260070 VU [ en ] Entanglement in quantum many-body systems
• 260075 SE [ en ] Quantum Information and Quantum Many-Body Physics (Journal Club)
• 520017 VU [ en ] ( VDS-PH ) Partial Differential Equations in Mathematical Physics