Research fellow, university of Warwick
email: firstname.lastname@ens-lyon.fr
My email @warwick is no longer active.
I am mostly working on stochastic analysis and its application to mathematical physics and geometry, although I have broad interests in mathematics.
My research is primarily focused on the winding function associated with a planar Brownian motion, which can be seen as a log-correlated field.
My initial motivation to study this function comes from its relations to the Yang-Mills-Higgs field,
and my main goal in this direction is a direct construction in the continuum of the measure associated with the Yang-Mills-Higgs field (in two dimensions,
both in the abelian and non-abelian settings).
Main interests :
- Planar Brownian motion, Brownian windings, stochastic Green' formula, Amperean area,
Brownian motion interacting with random magnetic impurities, occupation and intersection measures.
- EQFT, Yang-Mills-Higgs field, Gaussian free field and log-correlated fields in general, Phi(4).
- Brownian loop soup, multiplicative chaoses and LQG, loop-erased random walks and SLE.
- Stochastic approaches to index theory, analytic torsion, measures on moduli spaces, determinant of Laplacians and Dirac operators.
- Rough path theory and Young integration (in particular, Stokes' theorems and other identities of geometric nature in these framework).
- Occasionally I also worked on problems in random matrix theory, reflected processes, stable processes.
I am soon to start a post-doc at the ENS de Lyon, supervised by Adrien Kassel.
I used to work as a post-doc at the university of Warwick, and previously at the university of Oxford. I did my PhD in Paris (LPSM) supervised by Thierry Lévy.
I also spend some time at the universities of Luxembourg, Vienna, and Cambridge. My collaborators include Pierre Perruchaud and
Nathanaël Berestycki.
Here is a self-contained short presentation of my work (dated from May 2021).