The regularity of solutions of the Dirichlet problem for the Laplace operator in corner domains is limited by the existence of harmonic functions that are zero on the boundary of some tangent cones. T...
We are interested here in questions related to the study of some divergence elliptic equations in bounded Lipschitz or \( C^1 \) domains: \( div (a\nabla u) + bu = f\quad in\,\,\Omega, \) with Diric...
For a Riemann surface X and a complex reductive group G, G-character varieties are moduli spaces parametrizing G-local systems on X. When G=GLn, the cohomology of these character varieties have been ...
We bound the number of electrons \( Q \) that an atom can bind in excess of neutrality for density functionals generalizing the classical Thomas-Fermi-Weizsäcker functional: instead of the classical ...
We study \(A_g\), the moduli space of principally polarized abelian varieties of dimension \(g\). The tautological ring, generated by the Chern classes of the Hodge bundle, was fully determined by Ger...
