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 ckuehnma.tum.de to make an appointment to plan a possible thesis.