I am a Lecturer in Pure Mathematics at the University of Glasgow. Before that, I was a Coxeter Assistant Professor at the University of Toronto. I received my PhD from the Graduate Center of the City University of New York, under supervision of Jeremy Kahn. My research interests are in Teichmüller theory, complex analysis, and hyperbolic geometry.
Contact
Email: Maxime dot Fortier dash Bourque at glasgow dot ac dot uk
Autumn 2019: 3H Analysis of Differentiation and Integration
Spring 2019: 4H Further Complex Analysis
Papers
with Bram Petri, Kissing numbers of closed hyperbolic manifolds, submitted. [ pdf | arxiv ]
Hyperbolic surfaces with sublinearly many systoles that fill, accepted to Commentarii Mathematici Helvetici. [ pdf | arxiv ]
with Kasra Rafi, Local maxima of the systole function, submitted. [ pdf | arxiv ]
with Y. Chen, R. Chernov, M. Flores, S. Lee, and B. Yang, Toy Teichmüller spaces of real dimension 2: the pentagon and the punctured triangle, Geom. Dedicata197 (2018), 193-227
[ pdf | arxiv | journal ]
with Kasra Rafi, Non-convex balls in the Teichmüller metric, J. Differential Geom.110 (2018), 379-412
[ pdf | arxiv | journal ]
The holomorphic couch theorem, Invent. Math.212 (2018), 319-406
[ pdf | arxiv | journal ]
The converse of the Schwarz Lemma is false, Ann. Acad. Sci. Fenn. Math.41 (2016), 235-241
[ pdf | arxiv | journal ]
Conformal grafting and convergence of Fenchel-Nielsen twist coordinates, Conform. Geom. Dyn.19 (2015), 1-18
[ pdf | arxiv | journal ]