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
• 250061 SE [ en ] Project Seminar (Algebra)
• 250142 SE [ en ] Seminar (Classical physics and symplectic geometry)
• 250149 SE [ en ] Seminar (Symmetries and asymmetries)
• 442502 VO [ en ] Seminar (Diophantine Geometry)

Advanced courses, specialization "Algebra"

• 250124 VO [ en ] Algebraics Groups III
• 250129 VO [ en ] Algebraic Power Series
• 250130 VO [ en ] Analytic Number Theory
• 250131 VO [ en ] Topics in Combinatorics
• 250132 VO [ en ] Lie Algebras and Representation Theory
• 250148 VO [ en ] Symmetric functions in geometry
• 442501 VO [ en ] Dynamical Systems and categories

Specialization "Analysis" (51 ECTS)

Basic courses, specialization "Analysis"

• 250080 VO [ en ] Advanced functional analysis
• 250081 VO [ en ] Real analysis
• 250082 VO [ en ] Dynamical systems and nonlinear differential equations
• 250083 PS [ en ] PS Advanced functional analysis
• 250084 SE [ en ] Seminar (Analysis): Generalized functions
• 250085 SE [ en ] Seminar (Analysis): tba
• 250086 SE [ en ] Seminar (Complex analysis)
• 250087 SE [ en ] Seminar (Harmonic Analysis)
• 250088 PS [ en ] PS Dynamical systems and nonlinear differential equations
• 250117 SE [ en ] Seminar (Applied Partial Differential Equations)
• 442503 SE [ en ] DK-Seminar: Dissipation and dispersion in nonlinear partial differential equations

Advanced courses, specialization "Analysis"

• 250067 VO [ en ] Riemann surfaces
• 250074 VO [ en ] Topics in Calculus of Variations
• 250076 VO [ en ] Nonlinear Schrödinger and Wave Equations
• 250089 VO [ en ] Topics in complex analysis
• 250114 VO [ en ] Pseudodifferential operators
• 250118 VO [ en ] Random Matrices
• 250134 VO [ en ] Dispersive wave equations
• 250135 VO [ en ] Reproducing Kernels and Learning

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

• 250133 VO [ en ] Global Optimization

Basic courses, specialization "AMaSciCo"

• 250070 VO [ en ] Advanced numerical analysis
• 250071 PS [ en ] Introductory seminar Advanced numerical analysis
• 250073 PJ+SE [ en ] Seminar (Optimization)
• 250087 SE [ en ] Seminar (Harmonic Analysis)
• 250117 SE [ en ] Seminar (Applied Partial Differential Equations)
• 442503 SE [ en ] DK-Seminar: Dissipation and dispersion in nonlinear partial differential equations

Advanced courses, specialization "AMaSciCo"

• 250074 VO [ en ] Topics in Calculus of Variations
• 250076 VO [ en ] Nonlinear Schrödinger and Wave Equations
• 250079 VO [ en ] Topics in Finite Elements
• 250135 VO [ en ] Reproducing Kernels and Learning
• 442504 VO [ en ] Introduction to kinetic theory: the Boltzmann equation.

Specialization "Biomathematics" (51 ECTS)

Basic courses, specialization "Biomathematics"

• 250082 VO [ en ] Dynamical systems and nonlinear differential equations
• 250094 SE [ en ] Seminar (Mathematical Populations Genetics)
• 250138 SE [ en ] AG Biomathematics

Advanced courses, specialization "Biomathematics"

• 250088 PS [ en ] PS Dynamical systems and nonlinear differential equations
• 250141 VO [ en ] Mathematical population genetics II

Specialization "Geometry and Topology" (51 ECTS)

Basic courses, specialization "Geometry"

• 250096 VO [ en ] Analysis on manifolds
• 250097 PS [ en ] PS Analysis on manifolds
• 250149 SE [ en ] Seminar (Symmetries and asymmetries)

Advanced courses, specialization "Geometry"

• 250067 VO [ en ] Riemann surfaces
• 250132 VO [ en ] Lie Algebras and Representation Theory
• 250136 VO [ en ] Alexandrov spaces
• 250142 SE [ en ] Seminar (Classical physics and symplectic geometry)
• 250148 VO [ en ] Symmetric functions in geometry
• 442501 VO [ en ] Dynamical Systems and categories
• 442502 VO [ en ] Seminar (Diophantine Geometry)

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

Basic courses, specialization "Logic"

• 250100 VO [ en ] Axiomatic set theory 1
• 250101 PS [ en ] PS Axiomatic set theory 1
• 250102 SE [ en ] Research seminar in mathematical logic
• 250103 SE [ en ] Seminar (Mathematical logic)

Advanced courses, specialization "Logic"

• 250104 VO [ en ] Advanced topics in mathematical logic
• 250137 VO [ en ] Model theory

Specialization "Stochastics and dynamical systems" (51 ECTS)

Basic courses, speicialization "Stochastics"

• 250082 VO [ en ] Dynamical systems and nonlinear differential equations
• 250088 PS [ en ] PS Dynamical systems and nonlinear differential equations
• 250105 SE [ en ] AG Ergodic Theory
• 250106 PS [ en ] PS Advanced probability theory
• 250107 SE [ en ] Seminar (Stochastics/Dynamical systems)
• 250108 SE [ en ] Vienna Seminar in Mathematical Finance and Probability
• 250113 VO [ en ] Advanced probability theory

Advanced courses, specialization "Stochastics"

• 250109 VO [ en ] Selected topics in Dynamical Systems
• 250110 VO [ en ] Mathematical Finance (continuous time)
• 250111 PS [ en ] PS Mathematical Finance (continuous time)

Further Electives (15 ECTS)