I am a postdoc working in integrable systems at the Department of Mathematics of the University of the Algarve (Faro, Portugal) where I work in collaboration with Nenad Manojlovic. Our common research project is devoted to the study of dynamical quantum groups and related physical models (if any, we'll see about that).
A few words about my research area for non-specialists.
When a problem in life can be resolved fully and without compromises, it is called a miracle. Physics and mathematics are, despite of what one might think, part of real life, thus most of the problems cannot be solved without compromises. [Don't get me wrong: this does not prevent us from sending probes on Mars or desining cell phones with more and more superfluous functions.]
Anyhow, when a complete solution of a model or system exists (at
least theoretically) in physics we say that this model is integrable.
Generally this is related to the appearence of a great deal of symmetry
. And this opens the door to sophisticated mathematics. In my work I
concentrate mainly on these aspects, but eventually I try to connect
these structures to tangible models. Which is not obvious.
Some pictures taken at the 2006 annual