Publications
2025
13- Barreto-Rosa, Brandon G.; Burelle, Jean-Philippe; Lukyanenko, Anton; Richey, Martha. Products of exact dynamical systems and Lorentzian continued fractions. arXiv : 2505.22556 (2025)
12- Burelle, Jean-Philippe; Maiza, Mohamed Moussadek; Mayrand, Maxence. Deformations of quasi-Hamiltonian spaces. arXiv : 2505.16689 (2025).
2024
11- Burelle, Jean-Philippe; Zager Korenjak, Neza. Proper affine deformations of positive representations. arXiv : 2405.14658 (2024).
2022
10- Burelle, Jean-Philippe; Lawton, Sean. Dynamics on nilpotent character varieties. Conformal Geometry and Dynamics (2022).
9- Burelle, Jean-Philippe; Treib, Nicolaus. Schottky presentations of positive representations. Mathematische Annalen (2022). arXiv link
2021
8- Burelle, Jean-Philippe; Kirk, Ryan. Piecewise circular curves and positivity. arXiv : 2108.08680 (2021).
2012-2020
7- Burelle, Jean-Philippe. Ridigity of diagonally embedded triangle groups. Canadian Mathematical Bulletin (2020). arXiv link
6- Burelle, Jean-Philippe; Charette, Virginie; Francoeur, Dominik; Goldman, William M. Einstein tori and crooked surfaces. Advances in Geometry, 2020. arXiv : 1702.08414.
5- Burelle, Jean-Philippe; Francoeur, Dominik. Foliations between crooked planes in Minkowski 3-space. Internat. J. Math. 30 (2019) no. 1.
4- Ashley, Caleb; Burelle, Jean-Philippe; Lawton, Sean. Rank 1 character varieties of finitely presented groups. Geom. Dedicata 192 (2018), 1--19.
3- Burelle, Jean-Philippe; Treib, Nicolaus. Schottky groups and maximal representations. Geom Dedicata (2017).
2- Burelle, Jean-Philippe; Charette, Virginie; Drumm, Todd A.; Goldman, William M. Crooked halfspaces. Enseign. Math. 60 (2014), no. 1-2, 43--78.
1- Burelle, Jean-Philippe; Dupont, Grégoire Quantum frieze patterns in quantum cluster algebras of type A. Int. Electron. J. Algebra 12 (2012), 103--115.