top of page
Matthieu Calvez
Postdoc at Heriot-Watt University, Edinburgh, UK, member of the EPSRC EP/S010963/1 project “Geometry of Artin Group Actions”, led by Alexandre Martin.
In 2020, I was a Teaching and Research assistant at the University of Clermont-Auvergne (France).
Between 2017 and 2019, I was assistant professor at the University of La Frontera, Temuco, Chile.
Between 2012 and 2016, I was a postdoc then research assistant under the supervision of Andrés Navas at the University of Santiago, Chile.
Between 2009 and 2012, I was a doctoral student at the University of Rennes 1 and at the University of Seville, under the supervision of Bert Wiest and Juan González-Meneses.
I am interested in braid groups and their generalizations, Artin-Tits groups, Garside groups, Mapping Class Groups.
Contact
calvez [dot] matthieu [at] gmail [dot] com
English: Bienvenido
Preprints
1. Euclidean Artin-Tits groups are acylindrically hyperbolic.
2. Morse elements in Garside groups are strongly contracting (with Bert Wiest).
3. Property $R_{\infty}$ for some spherical and affine Artin-Tits groups (with Ignat Soroko).
Publications
Curve graphs for Artin-Tits groups of type B, Ã and ~C are hyperbolic, (with Bruno Cisneros), Transactions of the London Mathematical Society 8 (1) 2021, 151-173.
Hyperbolic structures for Artin-Tits groups of spherical type, (with Bert Wiest), to appear in Contemporary Mathematics.
Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical type, (with Bruno Cisneros and María Cumplido), Journal of Algebra 556, 2020, 621-633.
Acylindrical hyperbolicity and Artin-Tits groups of spherical type, (with Bert Wiest), Geometriae Dedicata 191 (1), 2017, 199-215.
Curve graphs and Garside groups, (with Bert Wiest), Geometriae Dedicata 188 (1), 2017, 195-213.
Garside-theoretic analysis of Burau representations, (with Tetsuya Ito), Journal of Knot Theory and its Ramifications 26 (7), 2017.
A fast solution to the conjugacy problem in the four-strand braid group, (with Bert Wiest), Journal of Group Theory 17 (5), 2014,757-800.
Fast Nielsen-Thurston classification of braids, Algebraic and Geometric Topology 14, 2014, 1745-1758.
Dual Garside structure and reducibility of braids, Journal of Algebra 356 (1), 2012, 355-373.
Fast algorithmic Nielsen-Thurston classification of four-strand braids, (with Bert Wiest), Journal of Knot Theory and its Ramifications 21 (5), 2012.
My doctoral thesis: "Algorithmic problems in braid groups"
Research projects as principal investigator
Artin-Tits groups: hyperbolic features and applications; a question on parabolic subgroups. Project “Regular” Fondecyt number 1180335. Since 1 April 2018.
Geometric group theory. Project for attraction and insertion of investigators Conicyt, number PAI 79160023. 2017-2019.
Braid groups: at the interface between surface automorphisms and Garside theory. “Initiation to research” project Fondecyt number 11140090. 2015-2017
Geometric and algorithmic aspects of the conjugacy problem in braid groups. Postdoc project Fondecyt number 3130569. 2012-2014.
Some Talks
Strongly contracting elements in Garside groups, Workshop "Perspectives on Artin groups", ICMS, Edinburgh, 24 - 27 May 2021. Video.
Des graphes hyperboliques pour les groupes d'Artin-Tits. Séminaire virtuel francophone "Groupes et Géométrie", 14 mai 2020. Video (in french).
Minicourse Curve graphs and Artin-Tits groups. Meeting on knots, braids and algebras: algebraic constructions inspired by low-dimensional topology. Mathematics Institute of the National Autonomous University of Mexico (UNAM), Oaxaca. October 2018. Notes (in spanish) by Bruno Cisneros.
Conjugacy stability of parabolic subgroups in spherical type Artin-Tits groups. Geometric and Asymptotic Group Theory with Applications (GAGTA-12). KIAS, Seoul, Korea. July 2018.
Algorithmic problems in Artin-Tits groups. Sub-plenary conference. LXXXVI annual meeting of Chilean Mathematical Society. University of Talca, Chile. November 2017.
The conjugacy problem in the braid groups. XIX Latine American Algebra Colloquium, Session of Group Theory. University of La Frontera, Pucón, Chile. December 2012.
Algorithmic consequences of the Linearly Bounded Conjugator Property in braid groups. Conference “Garside theory; state ofthe art and prospects”. Cap Hornu, Baie de Somme, France. June 2012.
Symmetries, groups and games. Talk (in spanish) on group theory for highschool students.
Teaching
Except in 2013 and 2014, I have been teaching constantly since 2009, at all levels of university.
Doctorate. University of La Frontera: abstract algebra, geometric group theory, 2017-2019.
Master. University of Rennes 1: tutorials of number theory, 2011-2012.
Undergrad. University of Clermont-Auvergne: “Mathematics Semester 1” (basics in linear algebra, real analysis and complex numbers) and “Math Common Core Course”, 2020. University of La Frontera: linear algebra, differential and integral calculus, 2017-2019. University of Santiago: linear algebra, complex analysis for engineering, 2015-2016. University of Rennes 1: tutorials of linear algebra, 2009-2010.
English: Bienvenido
bottom of page