Research
I'm mainly interested in low dimensional manifolds and their moduli. A lot of my research revolves around the study of surfaces and curves on surfaces. This involves the study of (curvature free) systolic type inequalities, the geometry and spectra of hyperbolic surfaces, high genus random surfaces, mapping class groups, the geometry of Teichmüller and moduli spaces, infinite type surfaces, and a general interest in combinatorial geometry and geometric group theory.
Current members of my research group
PhD students: Marie Abadie (in Luxembourg)
Former members of the research group in Luxembourg
Post-docs: Funda Gültepe, Yan Mary He, Wai Yeung Lam, Alan McLeay, Pallavi Panda, Binbin Xu, Alexey Balitskiy, Mingkun Liu, Mélanie Theillière, Kate (Katie) Vokes.
PhD students: Nhat Minh Doan, Thi Hanh Vo, David Fisac (co-tutelle with Florent Balacheff)
Visiting PhD students (long term): Pallavi Panda (Lille), Cayo Rodrigo (IMPA, Rio)
Former members of the research group in Fribourg
PhD students: Federica Fanoni and Bram Petri.
Post-docs: Ariadna Fossas Tenas, Viveka Erlandsson, Valentina Disarlo, Matthieu Gendulphe.