Multiscale and Stochastic Dynamics
Research group of Prof. Dr. Christian Kühn
The research interests of Christian Kühn's research group lies at the interface of differential equations, dynamical systems and mathematical modelling. A key goal is to analyze multiscale problems and the effect of noise/uncertainty in various classes of ordinary, partial, and stochastic differential equations as well as in network dynamics. The phenomena of central interest are: patterns, bifurcations and scaling laws. On a technical level, Kühn's work aims to build bridges between different areas dynamical systems and to various applications.
| Head | ||||
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| Kühn, Christian; Prof. Dr. |
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Raum: 03.06.061 |
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| Team Assistant | ||||
| Nicpon-Stasch, Mariola | TUM - 17466TUM - 18309 |
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| Scientific Staff | ||||
| Bernuzzi, Paolo | TUM - 17095 |
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Raum: 03.06.059 |
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| Böhle, Tobias; M.Sc. | TUM - 18336 |
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| Gonzalez Herrero, Maria Elena; M.Sc. | TUM - 16843 |
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Raum: 03.04.033 |
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| Jelbart, Samuel; Ph.D. | TUM - 17487 |
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| Kluge, Christian; M.Sc. | TUM - 18342 |
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| Kuntz, Sara-Viola; M.Sc. | TUM - 18342 |
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| Mölter, Jan; Ph.D. | TUM - 18312 |
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Raum: 03.06.038 |
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| Piazzola, Chiara; Dr. |
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| Queirolo, Elena | TUM - 17095 |
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| Steinmeyer, Pia; M.Sc. | TUM - 18342 |
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| Sulzbach, Jan-Eric; Ph.D. | TUM - 17095 |
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Raum: 03.06.021 |
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| Wöhrer, Tobias |
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| Basis für Durchwahlnummern: TUM: +49 (89) 289 | ||||
Winter term 2022/23
| Course no. | Title | Dates | Duration | Type | Lecturer (assistant) |
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| 0240314936 | Introduction to Nonlinear Dynamics (Exercise Session) [MA3080] |  | 1 | UE |
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| 0240112778 | Introduction to Nonlinear Dynamics [MA3080] | | 2 | VO |
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| 0000004772 | Seminar Dynamics | | 2 | SE |
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| 0000003299 | Topics in Dynamical Systems (Exercise Session) [MA5300] | | 1 | UE |
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| 0000003168 | Topics in Dynamical Systems [MA5300] | | 2 | VO |
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Summer term 2023
| Course no. | Title | Dates | Duration | Type | Lecturer (assistant) |
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| 0000001895 | Advanced Student Seminar: PDE Dynamics | | 2 | HS |
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| 0821037980 | Dynamical Systems (Exercise Session) [MA3081] | | 2 | UE |
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| 0821048740 | Dynamical Systems [MA3081] | | 4 | VO |
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| 0000004202 | Seminar Dynamics | | 2 | SE |
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List with all former courses in TUMonline.
Aktuelle Vortragende
Theses
The research of the group "Multiscale and Stochastic Dynamics" lies at the interface between several fields. Therefore, a thesis topic can be selected from quite a wide range of topics you may be interested in. However, you should have a suitable amount of specialized coursework consisting of courses in at least one of the following areas:
- differential equations / dynamical systems (ODE, PDE, dynamics)
- probability / stochastic processes (stochastic analysis)
- scientific computing / numerical analysis
- mathematical modelling (network science, biology, and/or physics)
- geometry (differential and/or algebraic)
If you are unsure, what courses might be helpful for you to write a thesis in the areas mentioned above in the group "Multiscale and Stochastic Dynamics", any subset or combination of the following courses is helpful:
| Module Name |
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| Introduction to Nonlinear Dynamics |
| Dynamical Systems |
| Partial Differential Equations |
| Functional Analysis |
| Numerical Methods for ODEs |
| Stochastic Analysis |
| Partial Differential Equations 2 |
| Numerical Methods for PDEs |
| Markov Chains |
| Topics in Dynamical Systems |
| Mathematical Models in Biology |
| Markov Processes |
| Operator Theory |
| Differential Geometry |
| Large Deviations |
| Complex Analysis |
| Fourier Analysis |
Beyond these courses, there are many other relevant ones on offer; any course where the five general areas mentioned above appear in some form will be helpful.
Please contact ckuehn@ma.tum.de to make an appointment to plan a possible thesis.
| Name | Research Activity | University | Term |
| Prof. Dr. Martin Rasmussen | John von Neumann Professor | Imperial College London | WiSe 2023/ 2024 (planned) |
| Prof. Dr. Grigiorios Pavliotis | John von Neumann Professor | Imperial College London | SoSe 2019 |
Dr. Sebastian Throm
Dr. Manuel Gnann
Katharina Eichinger, M. Sc.
Dr. Anne Pein
Dr. Maxime Breden
Dr. Alexandra Neamtu
Dr. Hildeberto Jardón Kojakhmetov
Dr. Maximilian Engel
Dr. Cinzia Soresina
Dr. Felix Hummel
Marios Gkogkas, M. Sc.
Dr. Konstain Clauß
Maximiian Steinert, M. Sc.