These are the Advanced Courses for the summer semester 2021.

1. Differential geometry, global analysis, and mathematical physics
Title: Topological recursion, matrix models and intersection theory
Lecturer: Borot, HU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: MON 9-11 and WED 9-11
Tutorial: MON 11-13

Title: Master reading group: TQFTs and quantum computing
Lecturer: Borot, HU
Location: Online
Type: Seminar (2h)
Seminar: MON 15-17

Title: Differential geometry IV
Lecturer: Mohnke, HU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: TUE 9-11 and THU 9-11
Tutorial: WED 9-11

Title: Dyso-Schwinger equations and quantization of gauge theories
Lecturer: Kreimer, HU
Location: Online
Type: Lecture (3h) + tutorial (1h)
Lecture: MON 11-13 (weekly) and TUE 15-17 (every two weeks)
Tutorial: TUE 15-17 (every two weeks)
See also here.

Title: Riemannian Convergence Theory
Lecturer: Walpuski, HU
Location: Online
Type: Seminar (2h)
Seminar: WED 13-15
See also here.

Title: Spectral theory of the Laplace operator
Lecturer: Polymerakis, HU
Location: Online
Type: Lecture (2h) + tutorial (2h)
Lecture: TUE 11-13
Tutorial: TUE 13-15 (every two weeks)
See also here.

Title: Differential geometry III: Applications to Fluid Physics
Lecturer: Pinkall, TU
Location: Online
Type: Lecture (4h)
Lecture: WED 14-16 and THU 14-16
See also here.

Title: Mathematical Physics II
Lecturer: Suris, TU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: TUE 12-14 and FRI 10-12
Tutorial: THU 10-12

Title: Functional Analysis Applied to Modeling of Molecular Systems
Lecturer: Delle Site, FU
Location: Online
Type: Lecture (2h) + tutorial (2h)
Lecture: MON 8-10 or MON 10-12 or MON 12-14 or WED 16-18
Tutorial: THU 10-12 or FRI 10-12
See also here.

Title: General Relativity
Lecturer: Bär, U Potsdam
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: TUE 14-16 and THU 14-16
Tutorial: FRI 10-12

Title: Boundary Value Problems and Index Theory
Lecturer: Bandara, U Potsdam
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: MON 10-12 and WED 10-12
Tutorial: TUE 10-12

Title: Gauge Theory: From Groups to Groupoids
Lecturer: Paycha, U Postdam
Location: Online
Type: Lecture (2h) + tutorial (2h)
Lecture: MON 12-14
To attend the lecture, please send an email to Prof. Paycha to receive the zoom links.
See also here.

2. Algebraic and arithmetic geometry, number theory

Title: Algebraic groups/Lie algebras
Lecturer: Große-Klönne, HU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: TUE 9-11 and WED 9-11
Tutorial: TUE 11-13

Title: Seminar on Algebra
Lecturer: Große-Klönne, HU
Location: Online
Type: Seminar (2h)
Seminar: TUE 15-17

Title: Research Seminar: Algebraic Number Theory
Lecturer: Große-Klönne, HU
Location: Online
Type: Seminar (2h)
Seminar: WED 11-13

Title: Representation Theory
Lecturer: Lorincz, HU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: MON 13-15 and FRI 9-11
Tutorial: MON 15-17

Title: Geometric Group Theory
Lecturer: Farkas, HU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: THU 13-15 and FRI 9-11
Tutorial: THU 11-13

Title: Research Module: Algebra
Lecturer: Petracci, FU
Location: Online
Type: Seminar (2h)
Seminar: MON 14-16

Title: Selected topics in invariant and representation theory
Lecturer: Bürgisser, TU
Location: Online
Type: Lecture (2h)
Lecture: FRI 15-16.30
See also here.

3. Stochastics and mathematical finance

Title: Particle Systems emerging from Population Genetics
Lecturer: Wilke Berenguer, HU
Location: Online
Type: Lecture (2h) + tutorial (1h)
Lecture: MON 15-17
Tutorial: FRI 16-17

Title: Stochastic Processes in Evolution
Lecturer: Blath, TU
Location: Online
Type: Lecture (2h)
Lecture: THU 10-12

Title: Stochastic filter theory
Lecturer: Stannat, TU
Location: Online
Type: Lecture (2h)
Lecture: TUE 16-18

Title: Financial Mathematics II
Lecturer: Belak, TU
Location: Online
Type: Lecture (4h) + tutorial (1h)
Lecture: MON 16-18 and TUE 16-18
Tutorial: THU 12-14

Title: Stochastic Partial Differential Equations
Lecturer: Stannat, TU
Location: Online
Type: Seminar (2h)
Seminar: THU 16-18

Title: Stochastic Models in Neurosciences
Lecturer: Schwalger, TU
Location: Online
Type: Seminar (2h)
Seminar: THU 16-18
See also here.

Title: Computational Finance
Lecturer: Bayer, TU
Location: Online
Type: Lecture (2h)
Lecture: FRI 16-18
Please contact the lecturer via email to register for the course.

Title: Stochastic Processes
Lecturer: Deuschel, TU
Location: Online
Type: Seminar (2h)
Seminar: THU 12-14 (starting from 22 April)

Title: Random Dynamical Systems
Lecturer: Engel, FU
Location: A3/Hs 001 Hörsaal (Arnimallee 3-5)
Type: Lecture (2h) + tutorial (2h)
Lecture: TUE 8-9:30
Tutorial: MON 12-13:30

Title: Stochastics IV: Stochastic Homogenisation
Lecturer: Djurdjevac, FU
Location: Online
Type: Lecture (2h) + tutorial (2h)
Lecture: MON 14-16
Tutorial: WED 10-12
See also here.

4. Discrete mathematics and optimization

Title: Algorithmic differentiation
Lecturer: Walther, HU
Location: Online
Type: Lecture (2h) + tutorial (1h)
Lecture: MON 11-13
Tutorial: WED 13-15 (every two weeks)

Title: Shape optimization and computer-aided geometry
Lecturer: Schmidt, HU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: WED 9-11 and FRI 9-11
Tutorial: TUE 13-15

Title: Discrete Optimization (Algorithmic Discrete Mathematics II)
Lecturer: Klimm, TU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: TUE 10-12 and WED 12-14
Tutorial: FRI 10-12

Title: Algorithms in Geometry of Numbers
Lecturer: Hunkenschröder, TU
Location: Online
Type: Lecture (2h)
Lecture: TUE 12-14
See also here.

Title: Convex Analysis
Lecturer: Neumayer, TU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: MON 10-12 and WED 10-12
Tutorial: TUE 12-14

Title: Discrete and Convex Geometry
Lecturer: Henk, TU
Location: Online
Type: Seminar (2h)
Seminar: TUE 16-18

Title: Solving (discrete) Optimization problems using Quantum Computers
Lecturer: Koch, TU
Location: Online
Type: Seminar (2h)
Seminar: TUE 14-16
See also here.

Title: Random Graphs
Lecturer: Anastos, FU
Location: Online
Type: Lecture (2h) + tutorial (2h)
Lecture: TUE 10-12
Tutorial: HU 10-12
See also here.

Title: Seminar on discrete mathematics
Lecturer: Beck, FU
Location: A6/SR 032 Seminarraum (Arnimallee 6)
Type: Seminar (2h)
Seminar: TUE 16-18

Title: Optimization and AI in Air and Train Freight Management
Lecturer: Borndörfer, FU
Location: Online
Type: Seminar (2h)
Seminar: THU 16-18 (starting from 22 April)

5. Geometry, topology, and visualization

Title: Seminar: h-Principle
Lecturer: Mohnke, HU
Location: Online
Type: Seminar (2h)
Seminar: TUE 11-13

Title: 4-Manifolds and Kirby calculus
Lecturer: Kegel, HU
Location: Online
Type: Lecture (2h) + tutorial (1h)
Lecture: FRI 9-11
Tutorial: FRI 11-13 (every two weeks)
See also here.

Title: Discrete Geometry III
Lecturer: Joswig, TU
Location: Online
Type: Lecture (4h)
Lecture: MON 10-12 and WED 10-12
See also here.

Title: Mathematical Visualization II
Lecturer: Sullivan, TU
Location: Online
Type: Lecture (4h) + tutorial (4h)
Lecture: THU 10-12 and FRI 8-10
Tutorial: TUE 12-14 and THU 12-14

Title: Discrete and Computational Topology
Lecturer: Lutz, TU
Location: Online
Type: Lecture (4h)
Lecture: TUE 10-12 and WED 10-12
See also here.

Title: Basic Module: Discrete Geometrie II
Lecturer: Beck, FU
Location: Online
Type: Lecture (4h) + Tutorial (2h)
Lecture: WED 10-12 and THU 10-12
Tutorial: TUE 8-10

Title: Higher Algebra
Lecturer: Reich, FU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: TUE 10-12 and THU 10-12
Tutorial: THU 14-16

Title: Research Module: Topology
Lecturer: Reich, FU
Location: Online
Type: Seminar (2h)
Seminar: TUE 16-18

6. Numerical analysis and scientific computing

Title: Analysis and numerics of PDE eigenvalues problems
Lecturer: Carstensen, HU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: TUE 13-15 and THU 9-11
Tutorial: TUE 15-17

Title: Matrix Theory
Lecturer: Liesen, TU
Location: Online
Type: Lecture (2h)
Lecture: TUE 10-12

Title: Advanced Topics in Control Theory
Lecturer: Breiten, TU
Location: Online
Type: Seminar (2h)
Seminar: MON 16-18

Title: Numerical Analysis for stochastic PDEs
Lecturer: Hocquet, TU
Location: Online
Type: Lecture (2h)
Lecture: MON 16-18
See also here.

Title: Research Seminar Molecules in the Computer
Lecturer: Schütte, FU
Location: A6/SR 025/026 Seminarraum (Arnimallee 6)
Type: Seminar (2h)
Seminar: TUE 16-18

Title: Mathematics of Sustainability
Lecturer: Wolf, FU
Location: A6/SR 007/008 Seminarraum (Arnimallee 6)
Type: Seminar (2h)
Seminar: TUE 16-17:30

7. Applied analysis and differential equations

Title: Optimization with partial differential equations
Lecturer: Hante, HU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: TUE 9-11 and FRI 11-13
Tutorial: TUE 11-13

Title: Variational calculation and optimal control
Lecturer: Hante, HU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: WED 9-11 and THU 11-13
Tutorial: WED 13-15 or THU 13-15

Title: Operator semigroups and evolution equations
Lecturer: Kmit, HU
Location: Online
Type: Lecture (2h) + tutorial (1h)
Lecture: TUE 9-11
Tutorial: TUE 11-13 (every two weeks)
See also here.

Title: Differential Equations III
Lecturer: Kreusler, TU
Location: Online
Type: Lecture (1,5h) + tutorial (2h)
Lecture: TUE 11-12.30
Tutorial: FRI 14-16

Title: Harmonic Analysis I
Lecturer: Beinert, TU
Location: TU Berlin - MA004, Zoom 62 and Zoom 61
Type: Lecture (6h)
Lecture: TUE 8-10, WED 8-10 and THU 10-12

Title: Models of biological neural networks
Lecturer: Schwalger, TU
Location: TU Berlin - MAR 0.007
Type: Lecture (2h)
Lecture: THU 14-16

Title: Optimal Transport
Lecturer: Steidl, TU
Location: TU Berlin - MA 042
Type: Seminar (2h)
Seminar: FRI 12-14

Title: Chemical and Metabolic Networks
Lecturer: Fiedler, FU
Location: Online
Type: Seminar (2h)
Seminar: WED 10-12
See also here.

Title: Dynamical Systems 3: Bifurcation Theory
Lecturer: Fiedler, FU
Location: Online
Type: Lecture (2h) + tutorial (2h)
Lecture: TUE 10-12
Tutorial: WED 16-18

Title: Nonlinear functional analysis
Lecturer: Werner, FU
Location: Online
Type: Lecture (2h) + tutorial (2h)
Lecture: TUE 8-10 and THU 8-10
Tutorial: FRI 8-10

Title: Dynamical Systems 3: Paralipomena
Lecturer: Fiedler, FU
Location: Online
Type: Lecture (2h) + tutorial (2h)
Lecture: TUE 10-12
Tutorial: WED 16-18

Title: Gaussian measures in infinite dimensions and invariant measures for PDEs
Lecturer: Zachhuber, FU
Location: Online
Type: Seminar (2h)
Seminar: TUE 14-16
See also here.

Title: Partial Differential Equations in Geophysical Fluid Dynamics
Lecturer: Schlutow, FU
Location: A6/SR 007/008 (Arnimallee 6)
Type: Seminar (2h)
Seminar: WED 14-16

Title: Topics in computational dynamics
Lecturer: Engel, FU
Location: Online
Type: Seminar (2h)
Seminar: THU 16-17:30

8. Mathematics of data science

Title: Mathematical image processing
Lecturer: Hintermüller, HU
Location: Online
Type: Lecture (2h) + tutorial (1h)
Lecture: THU 11-13
Tutorial: THU 13-15 (every two weeks)

Title: Mathematics for machine learning
Lecturer: Becherer, HU
Location: Online
Type: Lecture (2h) + tutorial (1h)
Lecture: TUE 11-13
Tutorial: THU 9-11 (every two weeks)
See also here.

Title: Discrete Optimization and Machine Learning
Lecturer: Pokutta, TU
Location: Online
Type: Seminar (2h)
Seminar: WED 10-12 (starting from 21 April)

Title: Seminar: Multiscale Methods in Molecular Simulations
Lecturer: Delle Site, FU
Location: Online
Type: Seminar (2h)
Seminar: WED 12-14
See also here.

Title: Seminar: Quantum Computational Methods
Lecturer: Delle Site, FU
Location: Online
Type: Seminar (2h)
Seminar: THU 14-16
See also here.

Title: Deep Learning
Lecturer: Noé, FU
Location: Online
Type: Lecture (2h) + tutorial (2h)
Lecture: FRI 14-16
Tutorial: MON 12-14 or TUE 14-16 or WED 10-12

Title: Methods of Molecular Simulations
Lecturer: Höfling, FU
Location: A6/SR 025/026 Seminarraum (Arnimallee 6)
Type: Lecture (2h) + tutorial (2h)
Lecture: MON 16-18
Tutorial: THU 10-12

Title: Machine Learning in Earth System Science
Lecturer: Boers, FU
Location: Online
Type: Seminar (2h)
Seminar: THU 14-16

The BMS Basic Courses take place at all three universities which do their best to coordinate the schedules according to the scheme
below.