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 |
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.