Master Mathematics (821 [2] - Version 2016)

Elective Modules (75 ECTS)

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

Basic courses, specialization "Algebra"

• 250007 SE [ en ] ( ON-SITE ) Seminar: Algebra
• 250060 VO [ en ] ( REMOTE ) Algebraic number theory

Advanced courses, specialization "Algebra"

• 250029 PS [ en ] ( ON-SITE ) Introductory seminar Algebraic Number Theory
• 250031 VO [ en ] ( MIXED ) Topics Course Number Theory
• 250038 PS [ en ] ( MIXED ) Topics Course Number Theory
• 250042 PS [ en ] ( ON-SITE ) Quantum Information, Quantum Computing, and Quantum Algorithms
• 250078 VO [ en ] ( ON-SITE ) Quantum Information, Quantum Computing, and Quantum Algorithms
• 250110 VO [ en ] ( MIXED ) Advanced Topics in Algebraic Geometry
• 250137 VO [ en ] ( REMOTE ) Moduli of n points on the projective line

Specialization "Analysis" (51 ECTS)

Basic courses, specialization "Analysis"

• 250045 SE [ en ] ( MIXED ) MCMP Seminar
• 250049 SE [ en ] ( REMOTE ) Topics in Analysis and Geometry
• 250064 VO [ en ] ( ON-SITE ) Advanced complex analysis
• 250065 PS [ en ] ( ON-SITE ) Introductory seminar on Advanced complex analysis
• 250066 VO [ en ] ( ON-SITE ) Advanced partial differential equations
• 250084 SE [ en ] ( REMOTE ) Optimal Transport and Riemannian Geometry
• 250148 PS [ en ] ( MIXED ) Introductory seminar on Advanced partial differential equations
• 510002 SE [ en ] ( REMOTE ) Seminar on Calculus of Variations (VSM)
• 510003 SE [ en ] ( REMOTE ) DK-Seminar: Dissipation and Dispersion in Nonlinear PDEs (VSM)
• 510004 SE [ en ] ( ON-SITE ) Seminar Harmonic Analysis (VSM)

Advanced courses, specialization "Analysis"

• 250048 VO [ en ] ( ON-SITE ) Numerics of Partial Differential Equations
• 250075 VO [ en ] ( MIXED ) Nonlinear Schrödinger and Wave equations
• 250087 VO [ en ] ( ON-SITE ) Frame Theory
• 250089 VO [ en ] ( ON-SITE ) Topics in Harmonic Analysis
• 250130 VO [ en ] ( MIXED ) Gabor Analysis: From Linear Algebra to Computational Harmonic Analysis
• 250136 VU [ en ] ( ON-SITE ) Lower semicontinuity of integral functionals and applications

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

Basic courses, specialization "AMaSciCo"

• 250062 VO [ en ] ( MIXED ) Applied analysis
• 250063 VO [ en ] ( REMOTE ) Nonlinear optimization
• 250086 SE [ en ] ( MIXED ) Inverse Problems III
• 250090 SE [ en ] ( MIXED ) Seminar Applied and Computational PDE
• 250109 SE [ en ] ( MIXED ) Seminar (Optimization)
• 510002 SE [ en ] ( REMOTE ) Seminar on Calculus of Variations (VSM)
• 510003 SE [ en ] ( REMOTE ) DK-Seminar: Dissipation and Dispersion in Nonlinear PDEs (VSM)
• 510004 SE [ en ] ( ON-SITE ) Seminar Harmonic Analysis (VSM)

Advanced courses, specialization "AMaSciCo"

• 250042 PS [ en ] ( ON-SITE ) Quantum Information, Quantum Computing, and Quantum Algorithms
• 250048 VO [ en ] ( ON-SITE ) Numerics of Partial Differential Equations
• 250075 VO [ en ] ( MIXED ) Nonlinear Schrödinger and Wave equations
• 250078 VO [ en ] ( ON-SITE ) Quantum Information, Quantum Computing, and Quantum Algorithms
• 250085 VU [ en ] ( MIXED ) Tensor methods for data science and scientific computing
• 250087 VO [ en ] ( ON-SITE ) Frame Theory
• 250089 VO [ en ] ( ON-SITE ) Topics in Harmonic Analysis
• 250092 VO [ en ] ( MIXED ) Convex Optimization
• 250106 VO [ en ] ( MIXED ) Neural Network Theory
• 250116 VO [ en ] ( MIXED ) Introduction to complex network analysis
• 250117 PS [ en ] ( MIXED ) Introduction to complex network analysis
• 250130 VO [ en ] ( MIXED ) Gabor Analysis: From Linear Algebra to Computational Harmonic Analysis
• 250136 VU [ en ] ( ON-SITE ) Lower semicontinuity of integral functionals and applications

Specialization "Biomathematics" (51 ECTS)

Basic courses, specialization "Biomathematics"

• 250068 VO [ en ] ( MIXED ) Stochastic processes
• 250081 PS [ en ] ( MIXED ) Introductory seminar on Mathematical Ecology
• 250097 SE [ en ] ( MIXED ) Seminar (Mathematical Population Genetics)
• 250108 VO [ en ] ( MIXED ) Mathematical ecology and pattern formation
• 510005 SE [ en ] ( MIXED ) AG Biomathematics (VSM)

Advanced courses, specialization "Biomathematics"

• 250107 PS [ en ] ( MIXED ) Stochastic Processes
• 250115 VO [ en ] ( ON-SITE ) Mathematical models of chemical and metabolic networks
• 250116 VO [ en ] ( MIXED ) Introduction to complex network analysis
• 250117 PS [ en ] ( MIXED ) Introduction to complex network analysis

Specialization "Geometry and Topology" (51 ECTS)

Basic courses, specialization "Geometry"

• 250049 SE [ en ] ( REMOTE ) Topics in Analysis and Geometry
• 250070 VO [ en ] ( MIXED ) Riemannian geometry
• 250071 VO [ en ] ( REMOTE ) Lie groups
• 250084 SE [ en ] ( REMOTE ) Optimal Transport and Riemannian Geometry
• 250091 VO [ en ] ( MIXED ) Algebraic topology
• 250103 PS [ en ] ( ON-SITE ) Algebraic Topology
• 250154 PS [ en ] ( MIXED ) Lie groups

Advanced courses, specialization "Geometry"

• 250093 VO [ en ] ( MIXED ) G-Structures
• 250110 VO [ en ] ( MIXED ) Advanced Topics in Algebraic Geometry
• 250138 VO [ en ] ( MIXED ) Introduction to large scale geometry

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

Basic courses, specialization "Logic"

• 250095 VO [ en ] ( ON-SITE ) Introduction to mathematical logic
• 250098 PS [ en ] ( MIXED ) Introductory seminar on mathematical logic
• 250099 SE [ en ] ( MIXED ) Research seminar in set theory
• 250118 SE [ en ] ( MIXED ) Research seminar in model theory
• 250124 SE [ en ] ( MIXED ) Logic Colloquium

Advanced courses, specialization "Logic"

• 250042 PS [ en ] ( ON-SITE ) Quantum Information, Quantum Computing, and Quantum Algorithms
• 250078 VO [ en ] ( ON-SITE ) Quantum Information, Quantum Computing, and Quantum Algorithms
• 250119 VO [ en ] ( MIXED ) Model theory
• 250123 VO [ en ] ( MIXED ) Special Topics in Set Theory

Specialization "Stochastics and dynamical systems" (51 ECTS)

Basic courses, speicialization "Stochastics"

• 250068 VO [ en ] ( MIXED ) Stochastic processes
• 250069 PS [ en ] ( MIXED ) Measure and integration theory
• 250076 VO [ en ] ( MIXED ) Measure and integration theory
• 250101 SE [ en ] ( ON-SITE ) Stochastics and Dynamical Systems
• 250102 SE [ en ] ( MIXED ) AG Ergodic Theory
• 250107 PS [ en ] ( MIXED ) Stochastic Processes
• 510006 SE [ en ] ( ON-SITE ) Vienna Seminar in Mathematical Finance and Probability (VSM)
• 510007 SE [ en ] ( ON-SITE ) Vienna Probability Seminar (VSM)

Advanced courses, specialization "Stochastics"

• 250105 VO [ en ] ( MIXED ) Ergodic Theory
• 250106 VO [ en ] ( MIXED ) Neural Network Theory
• 250128 VO [ en ] ( MIXED ) Martingale optimal transport
• 250152 PS [ en ] ( MIXED ) Stochastic Analysis
• 250157 VO [ en ] ( MIXED ) Stochastic Analysis

Further Electives (15 ECTS)

• 250129 VO [ en ] ( MIXED ) Topics from Habilitations