The MMGs has a broad variety of advanced lectures, seminars and courses on recent and fundamental research topics to broaden the horizon regarding neighboring mathematical fields. In addition to this, there are wide range of informal events specially for doctoral students. For additional scientific events consider also the ‘Wochenplan des Fachbereichs Mathematik und Informatik‘.
The following gives an overview of mathematical lectures, seminars and research seminars available for memebers of the MMGS during the summerterm 2025. Note that some courses might only be offered in german, since they are available to bachelors students of mathematics.
Lectures:
Linear Algebraic Groups, Hartl
Algebraic Number Theory 2, Hellmann
Seminars:
Abelian Varieties, Deninger
Coxeter Groups, Viehmann
Algebraic Curves, Hartl
p-adic arithmetic, Hartl, Hellmannn and Viehmann
Lectures:
Introduction to Geometric Measure Theory, Simon
Partial Differential Equations, Pirner
Mathematical Modeling, Stevens
Seminars:
Variational modelling in Materials Science, Zeppieri
Partial Differential Equations in Fluid Dynamics, Seis
Partial Differential Equations. Theory and Mathematical Modelling, Stevens
Lectures:
---
Seminars:
Mass and Energy in Relativity, Lohkamp
New Trends in Spectral Geometry, Siffert
Tea seminar, Siffert
Morse-Theory, Wiemeler
Reading Seminar of AG Differentialgeometrie, Wilking and Wiemeler
Complex Geometry, Santoro
Topics in General Relativity, Holzegel
Lectures:
Geometric Group Theory, Tent
Logic 3/4 (Set Theory), Schindler
Seminars:
Boone-Higman conjecture, Amelio, Cascioli and Murat Garcia
Seminar Models of Peano Arithmetic, Hils and Schindler
An Introduction to Stability Theory, Kwiatkowska und Jahnke
Lectures:
Numerical Methods for Partial Differential Equations II, Wirth
Seminars:
Non-linear modelling in the natural sciences, Ohlberger, Engwer, Heuer and Gurevich
Numerics of Shape Spaces, Wirth
Shape Space Theory, Wirth
Advanced Numerical Methods and Applications, Ohlberger and Rave
Scientific Computing, Engwer
Research Seminar Numerics, Engwer, Ohlberger, Rave and Wirth
Research Seminar Opimisation, Wirth
Lectures:
Operator Algebras II , Winter
Seminars:
Amenability, Winter and Geffen
Small Seminar, Winter, Kerr and Geffen
Research Seminar: C*-Algebras, Geffen, Kerr, Winter and Wulkenhaar
Lectures:
Advanced Stochastic Analysis, Weber
Advanced Finance, Paulsen
Random Graphs, Löwe
Point Processes, Huesmann
Extreme Value Theory, Kabluchko
Advanced Mathematical Data Science, Stolz
Probability Theory, Dereich
Seminars:
Statistical mechanics: a Hamilton-Jacobi approach, Weber
Statistical Mechanics, Löwe, Alsmeyer, Gusakova and Huesmann
Stochastic Processes, Dereich
Lectures:
Topology II, Nikolaus
Cohomology Operations and Spectral Sequences, Joachim
Seminars:
Selected Topics in Topology, Joachim
The following gives an overview of mathematical lectures, seminars and research seminars available for memebers of the MMGS during the winter term 2024/25. Note that some courses might only be offered in german, since they might be available to bachelors students of mathematics.
Lectures:
Algebraic Geometry, Zhao
Algebraic Number Theory, Hellmann
Commutative Algebra, Hartl
Deligne-Lusztig theory, Viehmann
Locally Compact Groups, Kramer
Seminars:
Semi-simple Lie-Algebras and their representations, Hellmann
Tea seminar, Kramer
Lectures:
Calculus of Variations, Simon
Inverse Problems, Wübbeling
Partial Differential Equations, Seis
Seminars:
Colloquium Partial Differential Equations, Seis, Holzegel and Weber
Partial Differential Equations in Fluid Dynamics, Seis
Partial Differential Equations for gases and plasmas, Pirner
Research Seminar on Applied Mathematics, AG Applied Analysis
Research Seminar on Analysis, Jentzen
Variational modelling in Materials Science, Zeppieri
Lectures:
Differential Geometry I, Wilking
Differential Geometry II, Lohkamp
Kähler Geometry, Santoro
Seminars:
Reading Seminar, WG Differential Geometry
Selected topics in spectral geometry, Siffert
Tea seminar, Siffert
Yamabe Problem, Lohkamp
Lectures:
Descriptive Set Theory, Kwiatkowska
Logic IV: Model Theory of Pseudofinite Fields, Hils
Model Theory, Tent
Seminars:
Model Theory of the Witt-Frobenius, Hils
Seminar on Set Theory - "Paradox" sets of real numbers, Schindler
Lectures:
Model Order Reduction, Rave
Scientific Computing, Engwer
Modern Applied Mathematics in Bioelectromagnetism - Part I, Wolters
Numerics for partial differential equations, Wirth
Scientific Computing, Engwer
Seminars:
Advanced Numerical Methods and Applications, Ohlberger and Rave
Analysis of shape spaces, Wirth
Numerics of shape spaces , Wirth
Research Seminar Numerics, WG Numerics
Research Seminar Opimisation, Wirth
Scientific Computing, Engwer
Lectures:
Introduction to Functional Analysis, Bartels
Operator Algebras, Winter
Seminars:
Choquet Theory, Geffen
Research Seminar: C*-Algebras, Wulkenhaar, Winter, de Laat, Geffen, Kerr
Ricci Flow, Tent, Kwiatkowska, Geffen and Kerr
Small Seminar, WG Operator Algebras
Lectures:
Branching Processes, Alsmeyer
High Dimensional Probability and Concentration of Measure, Gusakova
Mathematical Finance, Paulsen
Mathematical Statistics, Kabluchko
Optimal Transport, Huesmann
Stochastic Analysis, Mukherjee
Stochastic Models in Data Science, Scholz
Seminars:
Advanced Seminar Stochastics, WG Stochastics
Finance, Paulsen
Lunch Seminar on Stochastic Analysis, Weber
Master Seminar Probability, Dereich
Statistical Mechanics, Huesmann
Stochastic Processes, Huesmann and Mukherjee
Lectures:
Topology I, Nikolaus
Topology III, Joachim
Seminars:
Research Seminar Geometry, Algebra and Topology: "Moduli spaces of complex curves", Hille, Hamm, Schürmann, Wulkenhaar
Ski Seminar, Joachim and Serpé
The following list will be constantly updated until the start of the summer semester 2024:
Operator Algebras II, S. Geffen
Geometric Variational Problems, A. Siffert
Homotopy Theory II, J. Ebert
Topology II (Homology), M
Algebraic Geometry II, J. Pereira Lourenço
Numerical Optimization, C. Engwer
Asymptotic methods of the calculus of variations: An introduction to gamma convergence, T. Simon
Dynamical Systems, A. Stevens
Nonlinear partial differential equations, A. Schlichting
Partial Differential Equations in Fluid Dynamics, C. Seis
Scientific Computing, M. Ohlberger
Modern Applied Mathematics in Bioelectromagnetism, C. Wolters
Modern Applied Mathematics in Bioelectromagnetism - Part II, C. Wolters et al
Advanced Financial Mathematics, V. Paulsen
Markov Processes, C. Mukherjee
High-Dimensional Statistics, M. Stolz
Statistical Mechanics, M. Löwe
Reinforcement Learning, S. Dereich
Logic IV: Selected Topics from Set Theory, R. Schindler
Stable Groups (Logic III or Logic IV), K. Tent
Cobordism Theory, U. Ludwig
Harmonic Analysis, H. Weber
Ricci Flow, C. Böhm
Spectral theory of hyperbolic surfaces, H. Hein
Invariants in Global Analysis, U. Ludwig
The following list will be constantly updated until the start of the winter semester 2023/2024:
Lectures:
General Relativity and the Analysis of Black Hole Spacetimes, G. Holzegel
Global Analysis II, U. Ludwig
Differential Geometry II, C. Böhm
Seminars:
Research Seminars:
The following list will be constantly updated until the start of the summer semester 2023:
Lectures:
Geometric Wave Equations in General Relativity, G. Holzegel
Random Graphs, M. Löwe
Advanced Financial Mathematics, V. Paulsen
Optimal Transport, M. Huesmann
Applied Stochastic Models, G. Alsmeyer
Topology II, J. Ebert
Topology IV: Operads, Configurations and Trees, M. Weiss
Kinetic Transport Theory for dilute gases, M. Pirner
Partial Differential Equations II, A. Stevens
Rough Path Theory, H. Weber
Operator Algebras II, D. Kerr
Numerical Methods for Partial Differential Equations II, Ch. Engwer
Harmonic Analysis, Ch. Seis
Variational Modelling in Materials Science, C. Zeppieri
Numerical Optimization, F. Wübbeling
New mathematical methods in bioelectromagnetism and their neuroscientific applications, C. Wolters
Seminars:
Probability Theory, G. Alsmeyer, M. Löwe, Ch. Mukherjee
Renormalization Group, M. Huesmann, H. Weber
Algebraic Curves and Surfaces, K. Bals, C. Deninger
Stochastic Analysis, H. Weber
Small Seminar, T. de Laat, S. Echterhoff, S. Evington, Sh. Geffen, D. Kerr, W. Werner, W. Winter
Tensor Products and Kirchberg Conjectures, K. Courtney, S. Evington
Scientific Computing, Ch. Engwer
Variational modelling in Materials Science, Ch. Engwer, St. Rave
Direct Methods in the Calculus of Variations, Th. Simon
Advanced Numerical Methods and Applications, M. Ohlberger, St. Rave
Topics in Fluid Dynamics, Ch. Seis
Fortgeschrittene Themen der Variationsrechnung, C. Zeppieri
Research Seminars:
Topics in General Relativity
Mathematical Stochastics
Topology
Bridging the Gaps - Analysis
C*-Algebras
Advanced Topics in Analysis and Partial Differential Equations
Mathematics of Deep Learning
Applied Mathematics
Partial Differential Equations
Lectures:
Stochastic Analysis, M. Huesmann
Advanced Probability Theory, Z. Kabluchko
Point Processes, A. Gusakova
Random Recursive Equations, G. Alsmeyer
Non-Linear Wave Equations, G. Holzegel
Algebraic Geometry III, T. Nikolaus
Combinatorially Non-Local Field Theory, J. Thürigen
Operator Algebras, D. Kerr
Topology III, M. Weiss
Shape Spaces - Theory and Numerics, B. Wirth
Scientific Computing, Ch. Engwer
Calculus of Variation, T. Simon
Introduction to Mathematical Fluid Dynamics, Ch. Seis
New mathematical methods in bioelectromagnetism and their neuroscientific applications, C. Wolters
Seminars:
Mathematical Finance, V. Paulsen
Probability Theory, G. Alsmeyer, S. Dereich, Z. Kabluchko
Probability Theory, M. Huesmann, C. Mukherjee
Etale Cohomology, C. Deninger, S. Trentin
Arithmetic Geometry, E. Hellmann
Lunchseminar "Arithmetic", U. Hartl, E. Hellmann, L. Hille, E. Viehmann
Cartan Subalgebras, B. Armstrong, D. Martínez Magán
Lunchseminar: Homotopy Theory, T. Nikolaus
Mathematical Optimization: Shapes & Shape Spaces, B. Wirth
Scientific Computing, Ch. Engwer
Advanced Numerical Methods and Applications, M. Ohlberger
Partial Differential Equations in Fluid Dynamics, Ch. Seis
Mathematics for Deep Neuronal Networks, F. Weber
Mathematical Modelling and Analysis of Rarefied Gases, M. Pirner
Research Seminars:
Research Seminar on Mathematical Stochastics
Research Seminar on "p-adic arithmetic"
Research Seminar Geometry, Algebra and Topology: "Moduli spaces of complex curves"
Research Seminar: Bridging the gaps - Analysis
Research Seminar on C*-algebra
Research Seminar Topology
Research Seminar Optimisation
Research Seminar on Applied Mathematics
Research Seminar Advanced Topics in Analysis and Partial Differential Equations
Research Seminar Mathematics of Deep Learning
Lectures:
Advanced Probability Theory, Z. Kabluchko
Calculus of Variations, C. Zeppieri
Coarse Geometry, F. Vigolo
Convex and Stochastic Geometry, A. Gusakova
Deformation theory of Galois representations, R. Bartlett
General Relativity and the Analysis of Black Hole Spacetimes, G. Holzegel
Homotopy Theory II, F. Hebestreit (T. Nikolaus)
Hyperbolische Geometrie, Gruppen und Analysis, J. Lohkamp
Index Theory, J. Ebert
Introduction to infinity-categories, F. Hebestreit (T. Nikolaus)
Inverse Problems, B. Wirth
Longtime behaviour of dynamic systems, A. Schlichting
Mathematical Foundations of Nonparametric Statistics and Machine Learning, M. Stolz
New mathematical methods in bioelectromagnetism and their neuroscientific applications, K. Wolters
Stochastische Analysis, S. Dereich
Topics in General Relativity, G. Holzegel
Seminars:
Master Seminar Mathematical Finance, V. Paulsen
MSc Seminar, S. Dereich & Z. Kabluchko
Seminar "Class field theory", C. Deninger
Tea seminar, L. Kramer
Research Seminars:
Advanced seminar "Model theory and groups"
Advanced seminar Set Theory
Research Seminar "p-adic arithmetic"
Research Seminar Algebra and Geometry
Research Seminar on Analysis
Research Seminar on Applied Mathematics
Research Seminar on Differential Geometry
Research Seminar on Geometric Analysis
Research Seminar on Mathematical Stochastics
Research Seminar Opimisation
Research Seminar Topology
The list is constantly updated.
Lectures:
Algebraic Number Theory 2, C. Deninger
Stochastic Approximation, S. Dereich
Non-linear Wave Equations, G. Holzegel (If you are interested, please contact Prof. Dr. Holzegel)
Concrete Stochastics, Z. Kabluchko
Advanced Financial Mathematics, V. Paulsen
Galois representations and (phi, Gamma)-modules, P. Schneider
Logic IV - Introduction to model theory, K. Tent
Transformation groups and equivariant cohomology, M. Wiemeler
Operator algebras II, W. Winter
Seminars:
Seminar "Zeta- and L-functions in algebraic number theory", C. Deninger
L2 invariants, G. Gardam, F. Vigolo
small seminar, T. de Laat, S. Echterhoff, W. Winter
Stochastic Processes, S. Dereich, M. Huesmann
Partial actions of groups on C*-algebras, E. Gardella
Seminar on Model Theory, M. Hils, K. Tent
Polish groups and coarse geometry, K. Tent, A. Kwiatkowska
Research Seminars:
Research Seminar on Mathematical Stochastics
Advanced seminar "Model theory and groups"
Advanced seminar Set Theory
Research Seminar Algebra and Geometry
Research Seminar on Differential Geometry
Research Seminar "p-adic arithmetic"
Research Seminar on Geometric Analysis
Research Seminar on Applied Mathematics
Research Seminar on Analysis
Research Seminar Advanced topics in mathematical fluid dynamics
Research Seminar Topology
Research Seminar on C*-algebra
The following list is continuously updated until the start of the winter semester 20/21:
Lectures:
Algebraic number theory, C.Denniger
Geometric group theory, K. Tent
Local Galois representations, P. Schneider
Probability Theory on Trees and Networks, C. Mukherjee
Relativity, J. Lohkamp
Renewal Theory, G. Alsmeyer
Spaces of nonpositive curvature, L.Kramer
Stochastic Analysis, S. Dereich
Vorlesung über Arithmetische Algebraische Geometrie, E. Hellmann
Seminars:
O-Minimality and the André-Oort Conjecture, U. Hartl & M.Hils
Seminar Mathematical Finance, V. Paulsen
Seminar on Stochastic Processes, S. Dereich & M. Huesmann
Research Seminars:
Advanced seminar Set Theory
Research Seminar Algebra and Geometry
Lectures:
Advanced Mathematical Finance, Volker Paulsen
Expanders and their applications, Tim de Laat
Rough paths and their applications in machine learning, Steffen Dereich
Stable groups, Katrin Tent
Statistical Learning, Gerold Alsmeyer
Stochastic Mass Transfer, Martin Huesmann
Seminars:
Seminar zur Modelltheorie - Hrushovski-Amalgamierung, Martin Hils and Katrin Tent
Research Seminars:
Advanced seminar "Model theory and groups"
Advanced seminar Set Theory
Research Seminar "p-adic arithmetic"
Research Seminar Algebra and Geometry
Research Seminar on Analysis
Research Seminar on Applied Mathematics
Research Seminar on Geometric Analysis
Research Seminar on Mathematical Stochastics
Research Seminar Opimisation
Research Seminar Topology
Lectures:
High-Dimensional Statistics, Michael Stolz
Moduli spaces of elliptic curves, Eugen Hellmann
Probability Theory II, Chiranjib Mukherjee
Stochastic Analysis, Martin Huesmann
Stochastic Processes, Gerold Alsmeyer
Seminars:
Advanced Topology Seminar, Divya Sharma
C* dynamics, Eusebio Gardella
Lunchseminar, Lutz Hille, Thomas Nikolaus
Seminar on Model Theory, Martin Hils
Research Seminars:
Advanced seminar "Model theory and groups"
Advanced seminar Set Theory
Research Seminar "p-adic arithmetic"
Research Seminar Algebra and Geometry
Research Seminar on Analysis
Research Seminar on Applied Mathematics
Research Seminar on Differential Geometry
Research Seminar on Geometric Analysis
Research Seminar on Mathematical Stochastics
Research Seminar Topology