My research interests are centered around geometric structures on manifolds and their holonomy representations. I am also more generally interested in discrete subgroups of Lie groups.
Some key words which describe my research: Anosov representations, positivity, character varieties, proper affine actions.
Burelle, Jean-Philippe; Zager Korenjak, Neza. Proper affine deformations of positive representations. arXiv : 2405.14658 (2024).
Burelle, Jean-Philippe; Kirk, Ryan. Piecewise circular curves and positivity. arXiv : 2108.08680 (2021).
Burelle, Jean-Philippe; Lawton, Sean. Dynamics on nilpotent character varieties. Conformal Geometry and Dynamics (2022)
Burelle, Jean-Philippe; Treib, Nicolaus. Schottky presentations of positive representations. Mathematische Annalen (2022). arXiv link
Burelle, Jean-Philippe. Ridigity of diagonally embedded triangle groups. Canadian Mathematical Bulletin (2020). arXiv link
Burelle, Jean-Philippe; Charette, Virginie; Francoeur, Dominik; Goldman, William M. Einstein tori and crooked surfaces. Advances in Geometry, 2020. arXiv : 1702.08414.
Burelle, Jean-Philippe; Francoeur, Dominik. Foliations between crooked planes in Minkowski 3-space. Internat. J. Math. 30 (2019) no. 1.
Ashley, Caleb; Burelle, Jean-Philippe; Lawton, Sean. Rank 1 character varieties of finitely presented groups. Geom. Dedicata 192 (2018), 1--19.
Burelle, Jean-Philippe; Treib, Nicolaus. Schottky groups and maximal representations. Geom Dedicata (2017).
Burelle, Jean-Philippe; Charette, Virginie; Drumm, Todd A.; Goldman, William M. Crooked halfspaces. Enseign. Math. 60 (2014), no. 1-2, 43--78.
Burelle, Jean-Philippe; Dupont, Grégoire Quantum frieze patterns in quantum cluster algebras of type A. Int. Electron. J. Algebra 12 (2012), 103--115.
Hiver 2023 : MAT901 Notions fondamentales de calcul intégral
Automne 2022 : MAT141 Éléments d'algèbre, MAT901 Notions fondamentales de calcul intégral
Été 2022 : MAT401 Géométrie euclidienne et non-euclidienne, MAT901 Notions fondamentales de calcul intégral
Hiver 2022 : MAT603 Géométrie différentielle, MAT901 Notions fondamentales de calcul intégral
Été 2021 : MAT401 Géométrie euclidienne et non-euclidienne
Automne 2020 : MAT644/MAT745 Analyse fonctionnelle
Hiver 2020 : MAT603 Géométrie différentielle
Automne 2019 : MAT298 Calcul vectoriel
The experimental mathematics lab at Université de Sherbrooke provides undergraduate students with the opportunity to contribute to a research project by developing software for mathematical visualisation or experimentation.
If you are a student interested in participating, please contact me via e-mail.
Département de mathématiques
Université de Sherbrooke
2500 boulevard de l'université
Sherbrooke (Québec) J1K 2R1
Canada
Office : D3-1027-9
Phone : (819) 821-8000 Poste 65459
E-mail : j-p.burelle (a with circle around it) usherbrooke ( period ) ca