Elective Modules (75 ECTS)

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

Basic courses, specialization "Algebra"

• 250004 SE [ en ] Seminar Representation Theory and Automorphic Forms
• 250057 VO [ en ] Group theory
• 250058 PS [ en ] Introductory seminar on group theory
• 250059 VO [ en ] Combinatorics
• 250060 PS [ en ] Introductory seminar on Combinatorics
• 250065 SE [ en ] Seminar (Discrete Mathematics)
• 250142 SE [ en ] Project Seminar (Algebra)

Advanced courses, specialization "Algebra"

• 250011 VO [ en ] Enumerative Geometry
• 250012 VO [ en ] Representation Theory
• 250124 VO [ en ] Topics from number theory
• 250130 VO [ en ] Algebraic Theory of Differential Equations
• 250161 PS [ en ] Algebraic Theory of Differential Equations
• 250196 VO [ en ] Topics in Modern Number Theory
• 250197 PS [ en ] Topics in Modern Number Theory

Specialization "Analysis" (51 ECTS)

Basic courses, specialization "Analysis"

• 250006 SE [ en ] Seminar on Calculus of Variations
• 250081 VO [ en ] Real analysis
• 250085 SE [ en ] Seminar (Analysis): Generalized functions
• 250099 VO [ en ] Advanced functional analysis
• 250115 VO [ en ] Dynamical systems and nonlinear differential equations
• 250121 PS [ en ] Advanced functional analysis
• 250162 SE [ en ] MCMP Seminar
• 442502 SE [ en ] DK-Seminar: Dissipation and dispersion in nonlinear partial differential equations
• 442506 SE [ en ] Seminar (Harmonic Analysis)
• 442507 SE [ en ] Seminar: Applied PDE

Advanced courses, specialization "Analysis"

• 250005 VO [ en ] Principal fiber bundles
• 250008 VO [ en ] Mathematical Image Processing
• 250009 PS [ en ] Mathematical Image Processing
• 250024 VO [ en ] Nonlinear evolution equations
• 250130 VO [ en ] Algebraic Theory of Differential Equations
• 250133 VO [ en ] Discrepancy Theory and Quadrature
• 250161 PS [ en ] Algebraic Theory of Differential Equations

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

Basic courses, specialization "AMaSciCo"

• 250006 SE [ en ] Seminar on Calculus of Variations
• 250071 PS [ en ] Introductory seminar Advanced numerical analysis
• 250078 VO [ en ] Advanced numerical analysis
• 442502 SE [ en ] DK-Seminar: Dissipation and dispersion in nonlinear partial differential equations
• 442505 SE [ en ] Seminar (Optimization)
• 442506 SE [ en ] Seminar (Harmonic Analysis)
• 442507 SE [ en ] Seminar: Applied PDE

Advanced courses, specialization "AMaSciCo"

• 250007 VU [ en ] Imaging and Visualization
• 250008 VO [ en ] Mathematical Image Processing
• 250009 PS [ en ] Mathematical Image Processing
• 250024 VO [ en ] Nonlinear evolution equations
• 250074 VO [ en ] Information Theory
• 250079 VO [ en ] Topics in Finite Elements
• 250133 VO [ en ] Discrepancy Theory and Quadrature

Specialization "Biomathematics" (51 ECTS)

Basic courses, specialization "Biomathematics"

• 250010 PS [ en ] Dynamical System and Nonlinear Differential Equations
• 250049 VO [ en ] Mathematical Ecology
• 250094 SE [ en ] Seminar (Mathematical Populations Genetics)
• 250115 VO [ en ] Dynamical systems and nonlinear differential equations
• 250138 SE [ en ] AG Biomathematics
• 250145 PS [ en ] Mathematical Ecology

Advanced courses, specialization "Biomathematics"

• 250141 VO [ en ] Mathematical Cell Biology
• 470004 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 ] Analysis on manifolds
• 250162 SE [ en ] MCMP Seminar

Advanced courses, specialization "Geometry"

• 250005 VO [ en ] Principal fiber bundles
• 250011 VO [ en ] Enumerative Geometry
• 250012 VO [ en ] Representation Theory
• 250013 VO [ en ] Topics VO Geometry and Topology 2/3

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

Basic courses, specialization "Logic"

• 250100 VO [ en ] Axiomatic set theory 1
• 250102 SE [ en ] Research seminar in mathematical logic
• 250103 SE [ en ] Seminar (Mathematical logic)
• 250168 VO [ en ] Introduction to mathematical logic
• 250170 PS [ en ] Introductory seminar on mathematical logic
• 250179 PS [ en ] Introductory seminar on Axiomatic set theory 1

Advanced courses, specialization "Logic"

• 250104 VO [ en ] Advanced topics in mathematical logic

Specialization "Stochastics and dynamical systems" (51 ECTS)

Basic courses, speicialization "Stochastics"

• 250105 SE [ en ] AG Ergodic Theory
• 250107 SE [ en ] Seminar (Stochastics and Dynamical systems)
• 250108 SE [ en ] Vienna Seminar in Mathematical Finance and Probability
• 250115 VO [ en ] Dynamical systems and nonlinear differential equations
• 250185 PS [ en ] Advanced probability theory
• 250189 VO [ en ] Advanced probability theory
• 442501 SE [ en ] Vienna Probability Seminar

Advanced courses, specialization "Stochastics"

• 250016 VO [ en ] Selected topics in dynamics
• 250074 VO [ en ] Information Theory
• 250110 VO [ en ] Mathematical Finance (continuous time)
• 250111 PS [ en ] Mathematical Finance (continuous time)
• 250186 VO [ en ] Percolation Theory