About me

Welcome to my personal page!

I am a postdoctoral researcher in Mathematics at the Institute of Mathematics of the Technische Universität Berlin in Germany. I work with Prof. Yuri Suris in the Geometry and Mathematical Physics group and I am also part of the SFB Discretisation in Geometry and Dynamics (Transregio 109) programme of the German Research Foundation (DFG). My research lies in the area of dynamical systems and integrability and currently focuses on the birational dynamics appearing from the Kahan discretisation of integrable systems. I combine the theory of dynamical systems and algebraic geometry with numerical experiments and the use of mathematical software, mostly Mathematica.

Before that, I was at the Department of Mathematics of the University of Antwerp in Belgium, where I obtained my PhD and I still collaborate as a volunteer. I worked with Prof. Sonja Hohloch and Prof. Holger Dullin from the University of Sydney in the symplectic classification of semitoric systems, a class of integrable systems with two degrees of freedom. In particular, we found ways to compute the symplectic invariants using the theory of elliptic integrals and symplectic geometry.

This semester I am teaching the lectures of the course Mathematical Physics III (MSc Math). Before that, I have been teaching the exercise sessions of different BSc and MSc courses for mathematics and physics students both in Berlin and in Antwerp.

My main research interests:

• Discretisation of integrable systems
• Integrability of birational discrete dynamical systems
• Semitoric integrable systems and their classification
• Symplectic invariants of singular Lagrangian fibrations
• Geometric aspects of dynamical systems
• Bifurcation of ordinary differential equations

Besides that, I am also generally interested in data-driven modelling, time-series analysis, machine learning, complex systems and in models with differential equations in physics, chemistry and social sciences.

Pronunciation:

In case you might be interested, my name is pronounced /ˈʒaw.mə/ and sounds like this.

I use the name アロンソ・ジャウマ in Japanese and 龙赵马 in Chinese.