
Jean-Philippe Burelle
Associate Professor · Discrete subgroups of Lie groups
University of SherbrookeAbout
Jean-Philippe Burelle is an Associate Professor in the Department of Mathematics at the University of Sherbrooke, where he also serves as the Assistant Director of Undergraduate Studies. His research focuses on geometric structures, Lie groups, and representation theory.
He holds an M.Sc. (2015) and Ph.D. (2017) in Mathematics from the University of Maryland.
Professor Burelle's research interests include discrete subgroups of Lie groups, higher rank Teichmüller theory, locally homogeneous geometric structures, Anosov representations, Schottky groups, Lusztig positivity, positive representations in Sp(4,R), and surface group actions preserving partial cyclic order. His work often bridges algebraic and geometric perspectives.
His recent publications address foliations in Minkowski space, character varieties of finitely presented groups, and the connection between Schottky groups and maximal representations. These contributions advance the understanding of geometric structures and discrete group actions in various settings.
Scientific awards: None mentioned in the provided text.
Information regarding current grants and advisees was not provided in the available material.
He is a member of the Research Team on Algebraic and Geometric Structures and participates in the Sherbrooke Math Circle, which is dedicated to promoting mathematics through outreach activities.
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