Research interests:
I'm interested in the interactions between representation theory, the understanding of the geometry of moduli spaces and combinatorics.
Keywords: finite reductive groups, Weyl groups, quiver representations, character varieties, Higgs bundles, hyperplane and toric arrangements.
Publications and preprints:
-On the cohomology of characters stacks for non-orientable surfaces, Geometriae Dedicata, (2023), eprint arXiv:2212.02646 .
-A generalization of Kac polynomials and tensor product of representations of GLn(Fq), Transformation Groups (2024), eprint arXiv:2306.08950
-Cohomology of non-generic character stacks , Journal de l'Ecole Poly. (2024), eprint arXiv:2310.01306 .
-PGLn(C)-character varieties and Langlands duality over finite fields, (with Emmanuel Letellier), submitted, eprint arXiv:2412.03234 .
-Real Byalynicki-Birula flows on moduli spaces of Higgs bundles, (with Florent Schaffhauser), submitted, eprint arXiv:2507.18613
-Connected components of real loci in moduli spaces of vector and Higgs bundles over a Klein surface (with Florent Schaffahuser), submitted, eprint arXiv:2607.20161
Phd thesis (Character stacks for Riemann surfaces and multiplicities for representations of GLn(Fq)).
Here you can find a copy of my PhD thesis.