Adrien Brochier

Moi

I'm a post-doctoral assistant at the School of mathematics of the University of Edinburgh, in Iain Gordon's team.

My research interests are mainly in quantum algebra and mathematical physics. More precisley, I'm interested in KZ equations, Drinfeld associators, braid groups and their relations with other topics like Lie theory or knot theory.

Last year I was a post-doc assistant in Geneva, working with Anton Alekseev. I got my PhD in Strasbourg, where I was working under the supervision of Benjamin Enriquez. Before that I studied in Lyon, Heidelberg and Caen where I wrote my master thesis under the supervision of Bernard Leclerc.

I also like computer science and programming. Among other things, I wrote down a small program implementing free algebras and the Kohno-Drinfeld algebra, and used it to compute the logarithm of a rational, even Drinfeld associator in a Hall basis of the free Lie algebra, up to and including degree 9. I'm also interested in interval analysis methods, which leads to a kind of multi-dimensional far reaching generalization of dichotomy algorithms. In collaboration with Maelenn Aufray and Wulf Possart, I wrote down a program which applieies these methods to a fitting problem in the framework of dielectric spectroscopy analysis.

I'm also co-organizing the next Workshop on classical and quantum integrability in Glasgow in March.