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.
Members of the research group in Luxembourg:
PhD students: David Fisac (co-tutelle with Florent Balacheff)
Post-docs: Pallavi Panda, Mélanie Theillière, Kate (Katie) Vokes, Mingkun Liu
Former members of the research group in Luxembourg: