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These are the Advanced Courses for the winter semester 2020/21.
 
(We are still updating some information on this page, so please refer to it again before making a final decision about which courses to take.)

Please note that the winter semester 2020/21 will take place online.

 

1. Differential geometry, global analysis, and mathematical physics
Title: Teichmüller theory
Lecturer: KlinglerHU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: WED 9-11 and THU 11-13
Tutorial: THU 13-15

Title: Hopf Algebras and the renormalization  group 
Lecturer: Kreimer, HU
Location: Online
Type: Lecture (3h) + tutorial (1h)
Lecture: MON 11-13 (weekly) and TUE 13-15 (every 2 weeks)
Tutorial: TUE 15-17 (every 2 weeks)
See also here.

Title: Differential geometry III
Lecturer: Mohnke, HU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: THU 15-17 and FRI 13-15
Tutorial: THU 9-11

Title: Symplectic geometry
Lecturer: Mohnke, Wendl, HU
Location: Online
Type: Seminar (2h)
Seminar: MON 13-15

Title: Selected topics in algebraic and differential topology
Lecturer: Kegel, HU
Location: Online
Type: Seminar (2h)
Seminar: WED 15-17
See also here.

Title: Algebra, Geometry and Physics
Lecturer: Borot, HU
Location: Online
Type: Seminar (2h)
Seminar: TUE 14-16
See also here.
No credits

Title: Integrable systems
Lecturer: Borot, HU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: TUE 9-11 and WED 13-15
Tutorial: TUE 11-13
See also here.

Title: Modular forms and applications
Lecturer: Borot, HU
Location: Online
Type: Seminar (2h)
Seminar: THU 9-11
See also here.

Title: Seiberg-Witten Floer homology
Lecturer: Yang, HU
Location: Online
Type: Lecture (2h) + tutorial (1h)
Lecture: FRI 9-11 (weekly)
Tutorial: FRI 11-13 (every 2 weeks)

Title: Gauge Theory
Lecturer: Walpuski, HU
Location: online
Type: Seminar (2h)
Tutorial: TUE 9-11
See also here.

Title: Geometry and mathematical Physics
Lecturer: Knöppel, TU
Location: online
Type: Seminar (2h)
See also here.

 

2. Algebraic and arithmetic geometry, number theory

Title: Algebra III
Lecturer: Constantinescu, FU
Location: Institute of Mathematics, FU Berlin
Type: Lecture (2h) + tutorial (2h)
Lecture: TUE 12-14
Tutorial: WED 16-18
See also here.

Title: Polynomial Capacity: Theory, Applications, Generalizations
Lecturer: Leake, TU
Location: Online
Type: Lecture (2h)
Lecture: THU 16-18
See also here

 

3. Stochastics and mathematical finance

Title: Stochastic Processes in Liquids
Lecturer: Höfling, FU
Location: Institute of Mathematics, FU Berlin
Type: Lecture (2h) + tutorial (2h)
Lecture: FRI 12-14
Tutorial: FRI 14-16
See also here.

Title: Stochastic filtering II
Lecturer: Stannat, TU
Type: Lecture (2h)
Location: Online
Lecture: TUE 16-18
See also here.

Title: Stochastic processes and their applications
Lecturer: Blath, TU
Type: Seminar

Title: Stochastic processes in neuroscience
Lecturer: Stannat, Schwalger, TU
Type: Lecture (2h)
Lecture: THU 14-16
See also here.

Title: Statistics for stochastic processes
Lecturer: Söhl, HU
Location: Online
Type: Lecture (2h) + tutorial (1h)
Lecture: WED 9-11 (weekly)
Tutorial: WED 11-13 (every 2 weeks)

Title: Financial Mathematics I
Lecturer: Belak, TU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: TUE 10-12 and THU 10-12
Tutorial: WED 10-12
See also here.

Title: Stochastic models
Lecturer: Deuschel, TU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: TUE 14-16 and THU 12-14
Tutorial: MON 14-16
See also here.

Title: Stochastic Foundations of Machine Learning
Lecturer: Riedel, TU
Location: Online
Type: Lecture (2h)
Lecture: FRI 10-12
See also here.

 

4. Discrete mathematics and optimization

Title: Masterseminar on Integer Programming
Lecturer: Borndörfer, FU
Location: Institut of Mathematics, FU Berlin
Type: Seminar (2h)
Seminar: TUE, 10.11.2020; 12-14
See also here

Title: Seminar on Optimization in Public Transportation 
Lecturer: Borndörfer, Lindner, FU
Location: Institute of Mathematics, FU Berlin
Type: Seminar (2h)
Seminar: TUE, 10.11.2020; 10-12
See also here.

Title: Discrete Mathematics Masterseminar
Lecturer: Szabo, FU
Location: Institute of Mathematics, FU Berlin
Type: Seminar (2h)
Seminar: MON 10-12
See also here.

Title: Infinite-dimensional optimization
Lecturer: Walther, HU
Location: Online
Type: Lecture (2h) + tutorial (1h)
Lecture: WED 9-11 (weekly)
Tutorial: WED 11-13 (every 2 weeks)

Title: Discrete structures
Lecturer: Felsner, TU
Location: Online
Type: Seminar(2h)
Seminar: THU 10-12
See also here.

Title: Discrete structures III / Introduction to Order Theory
Lecturer: Felsner, TU
Location: Online
Type: Lecture (4h)
Lecture: TUE 14-16 and WED 12-14
See also here.

Title: Tropical Combinatorics
Lecturer: Panizzut, TU
Location: Online
Type: Seminar (2h)
Seminar: THU 14-16
See also here.

Title: Molecular Networks
Lecturer: Alexander Bockmayr, FU
Location: Online
Type: Lecture (2h) + tutorial (2h)
Lecture: MON 10-14
See also here.

 

5. Geometry, topology, and visualization

Title: Discrete Geometry II
Lecturer: Joswig, TU
Location: Online
Type: Lecture (2h) + tutorial (2h)
Lecture: MON and WED 10-12
Tutorial: TUE 14-16
See also here.
Introductory video.

Title: Discrete Geometry III 
Lecturer: Beck, Rehberg, FU
Type: Lecture (2h) + tutorial (2h)
Location: Institute of Mathematics, FU Berlin
Lecture: TUE 10-12
Tutorial: THU 10-12
See also here.

Title: Topology II
Lecturer: Kegel, HU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: WED 13-15 and FRI 9-11
Tutorial: FRI 11-13
See also here.

Title: Discrete Morse Theory and Cellular Structures
Lecturer: Lutz, TU
Type: Lecture (2h)
See also here.

Title: Computational Topology
Lecturer: Lutz, TU
Type: Seminar (2h)
See also here.

Title: Realization Spaces of Polytopes
Lecturer: Panizzut, TU
Location: Online
Type: Lecture (2h)
Lecture: TUE 14-16
See also here.

Title: Geometry III - Riemann Surfaces: Classical and Discrete
Lecturer: Günther, TU
Location: Online
Type: Lecture (4h)
Seminar: MON 14-16 and THU 14-16
See also here.

Title: Algebraic K-theory
Lecturer: Angelini-Knoll, FU
Location: Online
Type: Lecture (2h)
Lecture: MON 10-12

Title: Equivariant stable homotopy theory
Lecturer: Reich, FU
Location: Online
Type: Seminar (2h)
Seminar: TUE 12-14

 

6. Numerical analysis and scientific computing

Title: Computational Sciences
Lecturer: Hastermann, Noe, FU
Location: Online
Type: Seminar (4h)
Seminar: TUE 10-12 and THU 10-12
See also here.

Title: Introduction to the quantification of uncertainties
Lecturer: Klein, HU
Location: Online
Type: Lecture (2h) + tutorial (1h)
Lecture: THU 11-13 (weekly)
Tutorial: THU 13-15 (every 2 weeks)
See also here.

Title: Numerics IV
Lecturer: Kornhuber, FU
Location: Online
Type: Lecture (2h) + tutorial (2h)
Lecture: THU 10-12
Tutorial: WED 10-12
See also here.

Title: Scientific Computing
Lecturer: Fuhrmann, TU
Location: Online
Type: Lecture (4h)
Lecture: THU and FRI 16-18
See also here.

 

7. Applied analysis and differential equations

Title: Advanced differential equations
Lecturer: Fiedler, Schneider, FU
Location: Online
Type: Seminar (4h)
Seminar: THU 14-18

Title: Stories of Dynamics II
Lecturer: FiedlerSchneider, FU
Location: Online
Type: Seminar (2h)
Seminar: WED 10-12
See also here.

Title: Ergodic theory and transfer operators
Lecturer: Koltai, FU
Location: Online
Type: Lecture (2h) + tutorial (2h)
Lecture: TUE 10-12
Tutorial: TUE 14-16
See also here.

Title: Nonlinear functional analysis and weak convergence
Lecturer: Zwicknagl, HU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: MON 9-11 and WED 9-11
Tutorial: WED 11-13

Title: Multi-dimensional calculation of variations 
Lecturer: Zwicknagl, Ginster, HU
Location: Online
Type: Lecture (4h) + tutorial(2h)
Lecture: THU 9-11, THU 13-15
Tutorial: TUE 9-11

Title: Nonlinear partial differential equations
Lecturer: Druet, HU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: MON 9-11 and TUE 13-15
Tutorial: MON 11-13

Title: Optimal control with partial differential equations
Lecturer: Breiten, TU
Type: Lecture (4h)
Lecture: MON 12-14 and WED 10-12
See also here

Title: Numerics of partial differential equations
Lecturer: Schneider, TU
Type: Lecture (4h) + tutorial (2h)
Lecture: MON 14-16 and WED 12-14
Tutorial: THU 14-16

 

8. Mathematics of data science

Title: Computational Sciences
Lecturer: Matera, Noe, FU
Location: Online
Type: Lecture (4h)
Lecture: MON 10-12 and WED 10-12

Title: Theory of optimization algorithms for large-scale problems motivated by machine learning applications
Lecturer: Dvurechensky, HU
Location: Online
Type: Lecture (2h) + tutorial (1h)
Lecture: FRI 9-11 (weekly)
Tutorial: FRI 11-13 (every 2 weeks)
See also here.

Title: Mathematical modeling in climate research
Lecturer: Boers, FU
Location: Online
Type: Lecture (2h) + tutorial (2h)
Lecture: TUE 12-14
Tutorial: FRI 14-16
See also here.

Title: Industrial Data Science
Lecturer: Koch, TU
Type: Lecture (2h)
Lecture: WED 12-14

Title: Machine learning and optimization
Lecturer: Pokutta, TU
Location: Online
Type: Seminar (2h)
See also here.

Title: Multi-scale methods in molecular simulations
Lecturer: Delle Site, FU
Location: Online
Type: Seminar (2h)
Seminar: TUE 8-10
See also here.

Title: Soft matter: mathematical aspects, physical modeling and computer simulation
Lecturer: Delle Site, FU
Location: Online
Type: Lecture (4h) + tutorial (2h)
Lecture: MON 10-14 and WED 10-14
Tutorial: THU 12-14
See also here.

 

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