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:
Post-docs: Funda Gültepe, Yan Mary He, Wai Yeung Lam, Alan McLeay, Binbin Xu
PhD students; Nhat Minh Doan (PhD completed in January 2022),
Thi Hanh Vo (PhD completed in May 2022)
Visiting PhD students (long term): Pallavi Panda (Lille), Cayo Rodrigo (IMPA, Rio)
We are also part of the "Research cluster in low dimensional geometry and topology".
Former members of the research group in Fribourg:
PhD students: Federica Fanoni and Bram Petri. Both Federica and Bram successfully completed their PhD in June 2015.
Ariadna Fossas Tenas (February 2016 - July 2016), Viveka Erlandsson (October 2015 - March 2016), Valentina Disarlo (June 2014 - August 2014),
Matthieu Gendulphe (January 2012 - August 2012).
Arnaud de Mesmay,
Valentina Disarlo, Nhat Minh Doan,
Ser Peow Tan,
Thi Hanh Vo,
Robert Young, Ashley Weber, Samuel Zappa.