My name is Juan Pablo Vigneaux, and I am a second-year doctoral student at Institut de Mathématiques de Jussieu - Paris Rives Gauche (IMJ-PRG).
My advisor is Daniel Bennequin, and the subject of my thesis is "Cohomology, geometric quantization and quantum information".
Prof. Bennequin also supervised my master thesis, where I investigated the relation between the information cohomology recently defined by him in a paper with P. Baudot, and the general topos cohomology introduced in SGA IV. I obtained some new results that can be found in this presentation (article in preparation).
I am interested in geometry in a wide sense (differential and topological manifolds, varieties, schemes, topos, stacks...) and its interaction with mathematical physics, information theory and other "applied" areas.
Universitè Paris Diderot - host of (one half of) the IMJ-PRG.