Elective Modules (75 ECTS)

Algebra, number theory, and discrete mathematics (51 ECTS)

Core modules algebra

• 250060 VO [ en ] ( VOR-ORT ) Algebraic Number theory
• 250104 SE [ en ] ( VOR-ORT ) Project Seminar (Algebra)
• 250120 SE [ en ] ( VOR-ORT ) Seminar in Algebra and Number Theory
• 510001 SE [ en ] ( VOR-ORT ) Seminar Representation Theory and Automorphic Forms (VMS)

Topics courses algebra

• 250031 VO [ en ] ( VOR-ORT ) Topics in Number Theory
• 250041 VO [ en ] ( VOR-ORT ) Cohomology of Groups and Algebras
• 250042 PS [ en ] ( VOR-ORT ) Quantum Information, Quantum Computing, and Quantum Algorithms
• 250043 VO [ en ] ( VOR-ORT ) Schemes - Algebraic Geometry II
• 250078 VO [ en ] ( VOR-ORT ) Quantum Information, Quantum Computing, and Quantum Algorithms
• 250100 PS [ en ] ( VOR-ORT ) Introductory seminar on Algebraic number theory
• 250121 VO [ en ] ( VOR-ORT ) Topics in Combinatorics
• 250122 VO [ en ] ( VOR-ORT ) Random Groups
• 250125 VU [ en ] ( VOR-ORT ) Special Functions
• 250126 PS [ en ] ( VOR-ORT ) Introductory seminar on Cohomology of groups and algebras
• 250133 VO [ en ] ( DIGITAL ) Algebra meets Analysis and Number Theory
• 250135 PS [ en ] ( VOR-ORT ) Introductory seminar on Schemes - Algebraic geometry II

Analysis (51 ECTS)

Core modules analysis

• 250045 SE [ en ] ( VOR-ORT ) MCMP Seminar
• 250049 SE [ en ] ( GEMISCHT ) Topics in Analysis and Geometry
• 250064 VO [ en ] ( VOR-ORT ) Advanced complex analysis
• 250066 VO [ en ] ( VOR-ORT ) Advanced partial differential equations
• 250140 PS [ en ] ( VOR-ORT ) Introductory seminar on Advanced complex analysis
• 250141 SE [ en ] ( VOR-ORT ) Seminar: Analysis
• 250148 PS [ en ] ( VOR-ORT ) Introductory seminar on Advanced partial differential equations
• 250159 SE [ en ] ( VOR-ORT ) Seminar Frame Theory
• 510002 SE [ en ] ( VOR-ORT ) PDE Afternoon Seminar (VSM)
• 510003 SE [ en ] ( VOR-ORT ) Seminar on Calculus of Variations (VSM)

Topics courses analysis

• 250048 VO [ en ] ( VOR-ORT ) Numerics of Partial Differential Equations
• 250075 VO [ en ] ( VOR-ORT ) Nonlinear Schrödinger and Wave equations
• 250125 VU [ en ] ( VOR-ORT ) Special Functions
• 250133 VO [ en ] ( DIGITAL ) Algebra meets Analysis and Number Theory
• 250142 VO [ en ] ( VOR-ORT ) Topics in Analysis
• 250152 PS [ en ] ( VOR-ORT ) Stochastic Analysis
• 250157 VO [ en ] ( VOR-ORT ) Stochastic Analysis

Applied mathematics and scientific computing (51 ECTS)

Core modules AMaSciCo

• 250062 VO [ en ] ( VOR-ORT ) Applied analysis
• 250063 VO [ en ] ( VOR-ORT ) Nonlinear optimization
• 250086 SE [ en ] ( DIGITAL ) Project-Seminar Tomography Across the Scales
• 250090 SE [ en ] ( VOR-ORT ) Seminar Applied PDE
• 250109 SE [ en ] ( VOR-ORT ) Seminar (Optimization)
• 250143 SE [ en ] ( VOR-ORT ) Mathematical/Computational Astro/Quantum Physics
• 250144 SE [ en ] ( VOR-ORT ) Seminar Mathematical Data Science
• 250159 SE [ en ] ( VOR-ORT ) Seminar Frame Theory
• 250160 SE [ en ] ( GEMISCHT ) Tomography I
• 510002 SE [ en ] ( VOR-ORT ) PDE Afternoon Seminar (VSM)
• 510003 SE [ en ] ( VOR-ORT ) Seminar on Calculus of Variations (VSM)

Topics courses AMaSciCo

• 250042 PS [ en ] ( VOR-ORT ) Quantum Information, Quantum Computing, and Quantum Algorithms
• 250048 VO [ en ] ( VOR-ORT ) Numerics of Partial Differential Equations
• 250075 VO [ en ] ( VOR-ORT ) Nonlinear Schrödinger and Wave equations
• 250078 VO [ en ] ( VOR-ORT ) Quantum Information, Quantum Computing, and Quantum Algorithms
• 250085 VO [ en ] ( VOR-ORT ) Tensor methods for data science and scientific computing
• 250116 VO [ en ] ( GEMISCHT ) Introduction to complex network analysis
• 250117 PS [ en ] ( GEMISCHT ) Introduction to complex network analysis
• 250155 VU [ en ] ( VOR-ORT ) Cosmic Structures: Theory, Numerics and Statistics
• 510008 VU [ en ] ( VOR-ORT ) VGSCO: Semidefinite Programming
• 510009 VU [ en ] ( VOR-ORT ) VGSCO: Optimization Foundations of Reinforcement Learning

Biomathematics (51 ECTS)

Core modules biomathematics

• 250068 VO [ en ] ( VOR-ORT ) Stochastic processes
• 250097 SE [ en ] ( VOR-ORT ) Seminar (Mathematical Population Genetics)
• 250145 SE [ en ] ( VOR-ORT ) AG Biomathematics

Topics courses biomathematics

• 250107 PS [ en ] ( VOR-ORT ) Stochastic Processes
• 250116 VO [ en ] ( GEMISCHT ) Introduction to complex network analysis
• 250117 PS [ en ] ( GEMISCHT ) Introduction to complex network analysis
• 250147 VO ( VOR-ORT ) Topics Course Biomathematics
• 250156 VU [ en ] ( VOR-ORT ) Modeling in evolutionary ecology and epidemiology

Geometry and topology (51 ECTS)

Core modules geometry

• 250049 SE [ en ] ( GEMISCHT ) Topics in Analysis and Geometry
• 250070 VO [ en ] ( GEMISCHT ) Riemannian geometry
• 250071 VO [ en ] ( VOR-ORT ) Lie groups
• 250135 PS [ en ] ( VOR-ORT ) Introductory seminar on Schemes - Algebraic geometry II
• 250154 PS [ en ] ( VOR-ORT ) Lie groups
• 250161 SE [ en ] ( VOR-ORT ) Seminar Geometry and Topology

Topics courses geometry

• 250043 VO [ en ] ( VOR-ORT ) Schemes - Algebraic Geometry II
• 250150 VO [ en ] ( VOR-ORT ) Low dimensional topology
• 250151 VO [ en ] ( VOR-ORT ) Introduction to Moduli Spaces

Mathematical logic and theoretical computer science (51 ECTS)

Core modules logic

• 250099 SE [ en ] ( VOR-ORT ) Research seminar in set theory
• 250124 SE [ en ] ( VOR-ORT ) Logic Colloquium
• 250153 VO [ en ] ( VOR-ORT ) Introduction to theoretical computer science
• 510004 SE [ en ] ( VOR-ORT ) Research seminar in Model Theory

Topics courses logic

• 250042 PS [ en ] ( VOR-ORT ) Quantum Information, Quantum Computing, and Quantum Algorithms
• 250078 VO [ en ] ( VOR-ORT ) Quantum Information, Quantum Computing, and Quantum Algorithms
• 250123 VO [ en ] ( VOR-ORT ) Special Topics in Set Theory
• 250158 VO [ en ] ( VOR-ORT ) Topics Course Mathematical Logic

Stochastics and dynamical systems (51 ECTS)

Core modules stochastics

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

Topics courses stochastics

• 250152 PS [ en ] ( VOR-ORT ) Stochastic Analysis
• 250157 VO [ en ] ( VOR-ORT ) Stochastic Analysis
• 250163 VO [ en ] ( VOR-ORT ) Pathwise Methods in Optimal Transprt Theory
• 390022 VO [ en ] ( VOR-ORT ) Rough Paths