Research Work

Publications

• Coulon, R. Asphericity and small cancellation theory for rotation families of groups Groups, Geometry, and Dynamics 5(4) 729--765. 2011
• Coulon, R. Outer automorphisms of free Burnside groups Commentarii Mathematici Helvetici 88(4) 789--811. 2013
• Coulon, R. Growth of periodic quotients of hyperbolic groups Algebraic & Geometric Topology 13(6) 3111--3133. 2013
• Coulon, R. On the geometry of Burnside quotients of torsion free hyperbolic groups International Journal of Algebra and Computation 24(3) 251--345. 2014
• Coulon, R., Hull, M., and Kent, C. A Cartan-Hadamard type result for relatively hyperbolic groups Geometriae Dedicata 180(1) 339--371. 2016
• Coulon, R. Partial periodic quotients of groups acting on a hyperbolic space Université de Grenoble. Annales de l'Institut Fourier 66(5) 1773--1857. 2016
• Coulon, R. Théorie de la petite simplification: une approche géométrique [d'après F. Dahmani, V. Guirardel, D. Osin et S. Cantat, S. Lamy] Astérisque Seminaire Bourbaki. Vol. 2014/2015 Exp. No. 1089, 1--33. 2016
• Coulon, R. and Hilion, A. Growth and order of automorphisms of free groups and free Burnside groups Geometry & Topology 21(4) 1969--2014. 2017
• Antolin, Y., Coulon, R., and Gandini, G. Farrell-Jones via Dehn fillings Journal of Topology and Analysis 10(4) 873--895. 2018
• Coulon, R., Dal'bo, F., and Sambusetti, A. Growth gap in hyperbolic groups and amenability Geometric and Functional Analysis 28(5) 1260--1320. 2018
• Coulon, R. Detecting trivial elements of periodic quotient of hyperbolic groups Bull. Soc. Math. France 146(4) 745--806. 2018
• Coulon, R. and Guirardel, V. Automorphisms and endomorphisms of lacunary hyperbolic groups Groups Geom. Dyn. 13(1) 131--148. 2019
• Coulon, R. and Gruber, D. Small cancellation theory over Burnside groups Adv. Math. 353 722--775. 2019
• Coulon, R. and Osin, D. A non-residually finite group acting uniformly properly on a hyperbolic space J. Éc. polytech. Math. 619--30. 2019
• Coulon, R., Matsumoto, E., Segerman, H., and Trettel, S. Non-Euclidean Virtual Reality III: Nil Proceedings of Bridges 2020: Mathematics, Art, Music, Architecture, Education, Culture 153--160. 2020
• Coulon, R., Matsumoto, E., Segerman, H., and Trettel, S. Non-Euclidean Virtual Reality IV: Sol Proceedings of Bridges 2020: Mathematics, Art, Music, Architecture, Education, Culture 161--168. 2020
• Coulon, R. and Steenbock, M. Product set growth in Burnside groups J. Éc. Polytech., Math. 9463--504. 2022
• Coulon, R. Examples of groups whose automorphisms have exotic growth Algebraic & Geometric Topology 22(4) 1497--1510. 2022
• Coulon, R., Matsumoto, E., Segerman, H., and Trettel, S. Ray-marching Thurston geometries to appear in Experiment. Math.. arXiv: 2010.15801. 2022
• Coulon, R., Dougall, R., Schapira, B., and Tapie, S. Twisted Patterson-Sullivan measures and applications to amenability and coverings to appear in Memoirs of the AMS. arXiv: 1809.10881. 2020

Preprints

• Coulon, R. Infinite periodic groups of even exponents Arxiv 1810.08372 (89 pages). 2021
• Coulon, R. and Sela, Z. Equations in Burnside groups Arxiv 2112.07409 (123 pages). 2021
• Coulon, R. Patterson-Sullivan theory for groups with a strongly contracting element Arxiv 2206.07361 (59 pages). 2022
• Coulon, R. Ergodicity of the geodesic flow for groups with a contracting element Arxiv 2303.01390 (57 pages). 2022

Software

• Coulon, R., Matsumoto, E., Segerman, H., and Trettel, S. Non Eucliden Virtual Reality, Source code . Demo .

Dissertations

• Ph.D dissertation , defended in June 2010
• Habilitation à diriger des recherches , defended in October 2021

My publications on

• ZentralBlatt
• MathSciNet
• ArXiv
• Orcid