Contact

Dr. Thomas Rot

Department of Mathematics
Vrije Universiteit Amsterdam

De Boelelaan 1081a
1081 HV, Amsterdam

Room: R-362
Phone: (+31) 20 59 87677
email: spam@vu.nl (change spam to t.o.rot)
Office hours: By appointment

Short CV

I am a post-doc at the Vrije Universiteit Amsterdam. Before that I worked for a couple of years in Cologne as a post-doc in the working groups of Prof.Dr. Silvia Sabatini and Prof.Dr. Hansjörg Geiges. I did my PhD under the supervision of Prof.Dr. Rob Vandervorst and Dr. Federica Pasquotto .

Research statement

I am interested in the interplay between dynamical systems and algebraic topology. Any non-trivial dynamical system is too complex to understand in full detail. The exact evolution of the dynamical system is very sensitive to the initial conditions and model parameters. This is undesirable, we do not expect to be able to model and measure any natural system in full precision, and understand everything that happens in full detail. It is therefore important to understand which dynamical behavior is preserved under small perturbations of the system in question. Tools from topology, for example various homology theories, are well suited to this task, they can give robust information of the dynamical system in question. On the other hand well-chosen dynamical systems can give deep insight into topology. Morse theory is a great example of this. I am interested in both aspects of the theory.

Publications

Preprints

Papers

Books

Thesis

Slides

I do not really like giving (or listing to) slide presentations. However, a blackboard is not always available. Here are some of my recent slides. Other ones are available on request.

Teaching

All courses are accessible through canvas

Students

Bachelor