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.

Members of the research group in Luxembourg

PhD students: Marie Abadie, David Fisac (co-tutelle with Florent Balacheff)
Post-docs: Alexey Balitskiy, Mingkun Liu, Mélanie Theillière, Kate (Katie) Vokes.

Former members of the research group in Luxembourg

Post-docs: Funda Gültepe, Yan Mary He, Wai Yeung Lam, Alan McLeay, Pallavi Panda, Binbin Xu
PhD students: Nhat Minh Doan, Thi Hanh Vo
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.

Co-authors:

Jim Anderson, Javier Aramayona, Florent Balacheff, Ara Basmajian, Peter Buser, Will Cavendish, Antonio Costa, Vincent Despré, Olivier Devillers, Arnaud de Mesmay, Valentina Disarlo, Nhat Minh Doan, Emily Dryden, Mattijs Ebbens, Viveka Erlandsson, Federica Fanoni, Ariadna Fossas, Niloufar Fuladi, Thomas Gauglhofer, Funda Gültepe, Larry Guth, Milagros Izquierdo, Ghislain Jaudon, Chris Judge, Steve Karam, Benedikt Kolbe, Cyril Lecuire, Marissa Loving, Eran Makover, Daniel Massart, Gérard Maze, Alan McLeay, Greg McShane, Camille Petit, Bram Petri, Alexandra Pettet, Lionel Pournin, Stéphane Sabourau, Dragomir Šarić, Jean-Marc Schlenker, Ken Shackleton, Juan Souto, Craig Sutton, Ser Peow Tan, Monique Teillaud, Paul Turner, Gert Vegter, Nicholas Vlamis, Thi Hanh Vo, Yunhui Wu, Yuhao Xue, Robert Young, Ashley Weber, Samuel Zappa.