Page web de Luis Paris
Coordonnées
Institut de Mathématiques de Bourgogne
Université de Bourgogne
UMR 5584 du CNRS
BP 47870
21078 Dijon cedex
FRANCE
Téléphone : 03 80 39 58 19
E-mail : lparis(at)u-bourgogne(dot)fr
Bureau : 334, Aile A du Bâtiment Mirande
Enseignement
Licence première année : Logique et Algèbre 1
Licence troisième année : Algèbre 1
Master première année : Algèbre 2
Thèmes de recherche
Groupes de tresses, groupes d'Artin, groupes de Garside, groupes de Coxeter, groupes de difféotopies (mapping class groups), arrangements d'hyperplans.
Etudiants
Fabrice Castel
Bruno Aron Cisneros de la Cruz
Olivier Geneste
Diego Arcis
Federica Gavazzi
Hugo Forget
Publications récentes
M. Cumplido, F. Gavazzi, L. Paris. Intersection of Parabolic Subgroups in Euclidean Braid Groups: a short proof. Preprint, arXiv:2402.10919
F. Castel, L. Paris, Endomorphisms of Artin groups of type D, preprint, arXiv:2307.02880.
L. Paris, O. Varghese, The spherical growth series of Dyer groups, Proc. Edinb. Math. Soc. (2), 67 (2024), no. 1, 168-187.
L. Paris, M. Soergel, Word problem and parabolic subgroups in Dyer groups, Bull. Lond. Math. Soc. 55 (2023), no. 6, 2928-2947.
L. Paris, O. Varghese. Narrow normal subgroups of Coxeter groups and of automorphism groups of Coxeter groups, Journal of Group Theory, to appear.
Philip Möller, Luis Paris, Olga Varghese, On parabolic subgroups of Artin groups, Israel J. Math., to appear.
M. A. Blufstein, L. Paris. Parabolic subgroups inside parabolic subgroups of Artin groups. Proc. Amer. Math. Soc., Proc. Amer. Math. Soc. 151 (2023), no. 4, 1519-1526.
Paolo Bellingeri, Luis Paris, Anne-Laure Thiel, Virtual Artin groups, Proc. London Math. 126 (2023), 192-215.
F. Digne, E. Godelle, S. Hermiller, L. Paris, Special issue in memory of Patrick Dehornoy [Introduction]. J. Algebra 607 (2022), part B, 1-4.
L. Paris, Birth of Garside groups in memory of Patrick Dehornoy, . J. Knot Theory Ramifications 31 (2022), no. 8, Paper No. 2240004, 15 pp.
M. Cumplido, L. Paris. Commensurability in Artin groups of spherical type, Rev. Mat. Iberoam. 38 (2022), no. 2, 503–526.
Ruben Blasco-Garcia, Luis Paris. On the isomorphism problem for even Artin groups. J. Algebra 607 (2022), part B, 35–52.
L. Paris, L. Rabenda. Virtual an arrow Temperley–Lieb algebras, Markov traces, and virtual link invariants. J. Knot Theory Ramifications 30 (2021), no. 6, Paper No. 2150041, 36 pp.
Y. Antolín, L. Paris. Transverse properties of parabolic subgroups of Garside groups. Israel J. Math. 241 (2021), no. 2, 501–526.
P. Bellingeri, L. Paris. Virtual braids and permutations. Ann. Inst. Fourier (Grenoble) 70 (2020), no. 3, 1341-1362.
E. Irmak, L. Paris. Superinjective simplicial maps of the two-sided curve complexes on nonorientable surfaces. Fund. Math. 249 (2020), no. 3, 211-260.
O. Geneste, J.-Y. Hée, L. Paris. Root systems, symmetries and linear representations of Artin groups Ann. Math. Blaise Pascal 26 (2019), no. 1, 25-54.
D. Arcis, L. Paris. Ordering Garside groups, Internat. J. Algebra Comput. 29 (2019), no. 5, 861–883.
R. Blasco-Garcia, C. Martinez-Perez, L. Paris. Poly-freeness of even Artin groups of FC type. Groups Geom. Dyn. 13 (2019), no. 1, 309–325.
E. Irmak, L. Paris. Injective homomorphisms of mapping class groups of non-orientable surfaces. Geom. Dedicata 198 (2019), 149–170
O. Geneste, L. Paris. Coxeter groups, symmetries, and rooted representations. Comm. Algebra 46 (2018), no. 5, 1996–2002
R. Blasco-García, A. Juhász, L. Paris. Note on the residual finiteness of Artin groups. J. Group Theory 21 (2018), no. 3, 531–537.
P. Bellingeri, B. A. Cisneros de la Cruz, L. Paris. A simple solution to the word problem for virtual braid groups. Pacific J. Math. 283 (2016), no. 2, 271-287.
L. Paris, B. Szepietowski. A presentation for the mapping class group of a nonorientable surface. Bull. Soc. Math. France 143 (2015), no. 3, 503-566.
L. Paris. Mapping class groups of non-orientable surfaces for beginners. Winter Braids Lecture Notes, 1 : Winter Braids IV (Dijon, 2014) (2014), Exp. No. 3, 17 p.
R. Charney, L. Paris. Convexity of parabolic subgroups in Artin groups. Bull. Lond. Math. Soc. 46 (2014), no. 6, 1248-1255.
L. Paris, Lectures on Artin groups and the K(?,1) conjecture. Groups of exceptional type, Coxeter groups and related geometries, 239-257, Springer Proc. Math. Stat., 82, Springer, New Delhi, 2014.
L. Paris. K(pi,1) conjecture for Artin groups. Ann. Fac. Sci. Toulouse Math. (6) 23 (2014), no. 2, 361-415.
E. Godelle, L. Paris. PreGarside monoids and groups, parabolicity, amalgamation, and FC property. Internat. J. Algebra Comput. 23 (2013), no. 6, 1431-1467.
L. Paris, E. Wagner. HOMFLY-PT skein module of singular links in the three-sphere. Journal of Knot Theory and Its Ramifications 22 (2013), No. 2, 1350005 (13 pages).
Jon A Berrick, Volker Gebhardt, Luis Paris. Finite index subgroups of mapping class groups. Proceedings of the London Mathematical Society 2014 108: 575-599.
Eddy Godelle, Luis Paris. Basic Questions on Artin-Tits groups. in "Configuration spaces, Geometry, combinatorics and toology" (ed. A. Bjorner, F. Cohen, C. DE Concini, C. Provesi, M. Salvetti), pp. 299-311. Edizioni della Normale, Scuola Normale Superiore Pisa, 2012.
J. Fromentin, L. Paris. A simple algorithm for finding short sigma-definite representatives J. Algebra 350 (2012), no. 1, 405-415.
E. Godelle, L. Paris. $K(\pi,1)$ and word problems for infinite type Artin-Tits groups, and applications to virtual braid groups. Math Z.(2012) 272:1339-1364.
L. Paris. HOMFLYPT Skein module of singular links. 265-276, Contemp. Math., 538, Amer. Math. Soc., Providence, RI, 2011.