I am interested in the topology and geometry of the singularities in nonabelian Hodge moduli spaces.
In my thesis, I studied the cohomology of smooth character varieties by counting points over finite fields.
I am interested in the topology and geometry of the singularities in nonabelian Hodge moduli spaces.
In my thesis, I studied the cohomology of smooth character varieties by counting points over finite fields.
The tame Deligne-Simpson problem
preprint, arXiv
Singularities of character varieties
preprint, arXiv
Mirror of orbifold singularities in the Hitchin fibration: the case (SLn,PGLn)
(with Yongbin Ruan)
2025, Advances in Mathematics, arXiv Journal
E-polynomials of generic GLn<sigma>-character varieties: unbranched case
2025, Annales de l'Institut Fourier, to appear, arXiv
E-polynomials of generic GLn<sigma>-character varieties: branched case
2023, Forum of Math. Sigma, arXiv Journal
The character table of GLn<sigma>
2022, Advances in Mathematics, arXiv Journal
On character varieties with non-Connected structure groups
E-Polynomial of GLn<sigma>-Character Varieties
2020, Université Paris Cité