Justine Louis

I was a postdoctoral researcher at the Laboratoire Paul Painlevé at Université de Lille under the supervision of Mylène Maïda and funded by the Laboratoire d'Excellence CEMPI. I obtained my PhD in Mathematics at Université de Genève in 2015 under the supervision of Anders Karlsson. I was then a postdoc and teaching assistant at Université de Genève in the group of Antti Knowles.

Research interests:

• Asymptotic development of partition functions of 2-dimensional Yang-Mills theory on surfaces of genus higher or equal to one

• Asymptotic combinatorics of graphs

• Asymptotic development of the return probability of a random walk of length N on the discrete Heisenberg group of dimension 3

• Phase transition of the two point correlation function of random band matrices at mesoscopic scales

Publications

Other works

• Spanning trees in discrete tori, hypercubic lattices and circulant graphs, PhD thesis at Université de Genève, 2015

• Calcul de l'asymétrie leptonique de l'Univers dans un modèle simplifié du νMSM comprenant deux neutrinos actifs et deux neutrinos stériles, Master thesis in Theoretical Physics at Ecole Polytechnique Fédérale de Lausanne, 2009