Supervisor

So finally, after 3 weeks in Melbourne, my supervisor Reinout Quispel has arrived. The lines of investigation for my Masters thesis are still broad but all of them in differential -an now difference which seems to be a bit more complicated and exact- equations.

I spend my time reading a couple interesting books: The Road to Reality and Mathematics in Nature; this books give me an overview of the physics and biology that can be applied to modern math, or viceversa.

The lines of study are as follow:

1. Session with Peter van der Kamp i'm studying the book Applications of Lie Groups to Differential Equations. Not sure about it but like all the things about the manifolds in many dimensions.

2. With Jietse Niesen I'm reading the paper Stability of travelling waves. Special interest in the reaction-diffusion equations and the stability by the Evans function.

3. Lennaert seems to have very interesting projects: studies of the brain by the comprehension of turbulence and population dynamics. He is helping me understand the book Nonlinear Differential Equations and Dynamical Systems.

4. And my supervisor Reinout has given me a couple papers: Integrable mappings and soliton equations and Integrable mappings derived from soliton equations. Preceeding this, I'm reading some lectures on Discrete systems and Integrability.

This are the lines, which will converge eventually to a thesis, a PhD and a whole career in research in mathematics...