Articles

Publications

Discrete Geometry

3- Combinatorial inscribability obstructions for higher-dimensional polytopes arxiv13
J. Doolittle, J.-P. Labbé, C. Lange, R. Sinn, J. Spreer, G.M. Ziegler, Mathematika, 66, (2020), no. 4, 927-953.
2- Area difference bounds for dissections of a square into an odd number of triangles arxiv12
J.-P. Labbé, G. Rote, G.M. Ziegler, Exp. Math., 29, (2020), no. 3, 253-275.
1- Fan Realizations of Type A Subword Complexes and Multi-associahedra of Rank 3 arxiv6
N. Bergeron, C. Ceballos, and J.-P. Labbé, Discrete Comput. Geom., 54 (2015), no. 1, 195-231.

Combinatorics of Simplicial Complexes

2- Bounds for entries of γ-vectors of flag simplicial spheres arxiv11
J.-P. Labbé, E. Nevo, SIAM J. Discrete Math., 31, (2017), no. 3, 2064-2078.
1- Hirsch polytopes with exponentially long combinatorial segments arxiv10
J.-P. Labbé, T. Manneville, and F. Santos, Math. Program., 165 (2017), no. 2, 663–688.

Geometric Group Theory / Coxeter Groups

4- Limit directions for Lorentzian Coxeter systems arxiv9
H. Chen and J.-P. Labbé, Groups Geom. Dyn., 11, (2017), 469-498.
3- On inversion sets and the weak order in Coxeter groups arxiv7
C. Hohlweg and J.-P. Labbé, European J. Combin., 55, (2016), 1-19.
2- Lorentzian Coxeter groups and Boyd-Maxwell ball packings arxiv5
H. Chen and J.-P. Labbé, Geom. Dedic., 74 (2015), no. 1, 43-73.
1- Asymptotical behaviour of roots of infinite Coxeter groups arxiv4
C. Hohlweg, J.-P. Labbé, and V. Ripoll, Canad. J. Math. 66 (2014), no. 2, 323-353.

Geometric Structures in Cluster Algebras

2- Cluster Algebras of Type D4, Tropical Planes, and the Positive Tropical Grassmannian arxiv8
S.B. Brodsky, C. Ceballos and J.-P. Labbé, Beitr. Algebra Geom., 58, (2017), no. 1, 25-46.
1- Subword complexes, cluster complexes, and generalized multiassociahedra arxiv3
C. Ceballos, J.-P. Labbé and C. Stump, J. Algebraic Comb. 39 (2014), no. 1, 17-51.

Combinatorics

3- Cambrian acyclic domains: counting c-singletons arxiv14
J.-P. Labbé, C. Lange, Order, 37, (2020), no. 3, 571-603.
2- Counting Types of Runs in Classes of Arborescent Words
J.-P. Labbé and G. Labelle, Open Journal of Discrete Mathematics 3 (2013), no. 1, 7-15.
1- Combinatorial variations on Cantor's diagonal arxiv1
S. Brlek, J.-P. Labbé and M. Mendès France, J. Comb. Theory, Ser. A 119 (2012), no. 3, 655-667.

Conferences

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Theses

Seminars and Talks

  • The median value of prime factors, Groupe de recherche des étudiants en Mathématiques Université Laval, Québec, August 2006
  • The index of composition of integers [in French] Groupe de recherche des étudiants en Mathématiques Université Laval, Québec, August 2007
  • A variation of Kirkman's Schoolgirl problem [in French] Exposé de fin d'études, Université Laval, Québec, April 2008
  • On certain cointosses, Séminaire ISM, UdeM, Montréal, April 2009
  • Cantorian tableaux [in French], Colloque ISM des étudiants, UQÀM, Montréal, May 2009 (Organization committee (Chair))
  • Sortable elements in Coxeter groups, Diskrete Geometrie seminar, Technische Universität, Berlin, February 2010
  • Cantorian tableaux representatives, CIRM-Séminaire sur la combinatoire des mots, Marseille-Luminy, May 2010
  • The TikZ library [in French], The permutahedron [in French], Colloque ISM des étudiants, Université Laval, Québec, June 2010
  • Cantorian and bi-Cantorian tableaux, LaCIM 2010 - 20 ans, UQÀM, Montréal, August 2010
  • Catalan numbers, What is ... seminar, Berlin Mathematical School, Berlin, October 2010
  • Sage and polytopes, Diskrete Geometrie seminar - TU Berlin, December 2010
  • The bijection between k-triangulations and k-Dyck paths, Associahedron Meetings, FU Berlin, April 2011
  • Relation between subword complexes and the Multi-associahedra, Diskrete Geometrie seminar - Freie Universität, Berlin, May 2011
  • On the computation of Cantorian Tableaux, Permutation Patterns 2011, San Luis Obispo, CA, (USA), June 2011
  • Les multiassociaèdres généralisés, Séminaire de Combinatoire du LaCIM - UQÀM, Montréal, June 2011
  • Generalized cluster complexes, Associahedron Meetings, FU Berlin, October-November 2011
  • Root systems of infinite Coxeter groups, Diskrete Geometrie seminar - Freie Universität, Berlin, March 2012
  • The greedy flip algorithm for subword complexes, Associahedron Meetings, FU Berlin, May 2012
  • The complex of non-crossing diagonals of polygons, Associahedron Meetings, FU Berlin, May 2012
  • Counting singletons and related structures, Associahedron Meetings, FU Berlin, July 2012
  • Multi-cluster complexes, Asymptotical behaviour of roots in infinite Coxeter groups, FPSAC 2012, Nagoya (Japan), July 2012
  • Multi-cluster complexes, Coxeter groups meet Convex Geometry, Montréal (Québec), August 2012, (Organizing commitee)
  • SL_k-tilings of the plane, Associahedron Meetings, FU Berlin, November 2012
  • Discrete Sandwich Theory (Public Prize for Best Talk), Math Slam, BMS Days 2013, Urania Conference Center, Berlin, February 2013
  • Counting singletons, Séminaire Lotharingien de Combinatoire, Ellwangen, March 2013
  • Higher Dimensional Kaleidoscopes, Methods for Discrete Structures, Colloquium, FU Berlin, July 2013
  • PhD Thesis - Polyhedral Combinatorics of Coxeter Groups, Dissertation Defense, FU Berlin, July 2013
  • Counting singletons and related structures, Berlin-Poznan Annual Combinatorics meeting, November 2013
  • Discrepancy of odd-equal triangulations, SFB Automn workshop, Lichtenfels Germany, November 2013
  • Lorentzian Coxeter Groups and Boyd-Maxwell ball packings, Geometrietag 2013, Magdeburg, December 2013
  • Lorentzian Coxeter Groups and Boyd-Maxwell ball packings, Seminar Marburg, Universität Marburg, December 2013
  • Fan realization of subword complexes, Diskrete Geometrie Seminar, Freie Universität Berlin, December 2013
  • Limit directions for Lorentzian Coxeter groups, Diskrete Geometrie Seminar, Freie Universität Berlin, January 2014
  • Counting singletons, Mittagsseminar Diskrete Mathematik, TU Berlin, January 2014
  • Lorentzian Coxeter Groups and Boyd-Maxwell ball packings, FPSAC 2014, Chicago (USA), July 2014
  • A construction of complete multiassociahedric fans, HUJI Combinatorics seminar, October 2014
  • Lower bound for the discrepancy of triangulations of the square with an odd number of triangles, Discrete Geometry Seminar, Freie Universität Berlin, December 2014
  • Une construction d'éventails complets multiassociaèdriques, LaCIM-UQAM, January 2015
  • What are Coxeter groups?, Universidad de Cantabria, March 2015
  • Computing and displaying infinite root systems, SageDays64, University of California - Davis, March 2015
  • Subword complexes in Algebra, Discrete and Tropical Geometry, XXVIIe Rencontre de Théorie des représentation des algèbres, Bishop's University, September 4 2015
  • Géométrie et combinatoire des groupes de Coxeter, Séminaire d'Algèbre et de Géométrie Gradué, Université Laval, 14 septembre 2015
  • Un théorème de Perron pour les matrices à éléments négatifs appliqué aux groupes de Coxeter, LaCIM-UQAM, 18 septembre 2015
  • Bounding the discrepancy of odd-equal triangulations of the square, SFB Conference, Herrsching (Germany), October 8 2015
  • Racines limites des groupes de Coxeter, Séminaire de math discrètes, Université de Liège, January 6 2016
  • Bounding the discrepancy of odd-equal triangulations of the square, Third EACA School on Computer Algebra and its applications, January 18 2016
  • Limit roots of infinite Coxeter groups, Seminar of Algebra, Department of Algebra, University of Sevilla, Spain, January 22 2016
  • An introduction to subword complexes of Coxeter groups, ECCO 2016, Medellin, Colombia, June 2016
  • Discrepancy bounds for odd dissections of a square, MDS Monday Seminar, Berlin, Germany, January 2017
  • Experimental Coxeter Group Theory, SageDays 88 Coding Sprint, Minneapolis, USA, August 2017 Three Problems on expressions of elements of Coxeter groups, Combinatorics Seminar, University of Minnesota, USA, April 2018
  • Convex Geometry of Subword Complexes of Coxeter Groups, AMS Sectional Meeting, Gainesville, USA, November 2019
  • Universal oriented matroids for Subword Complexes of Coxeter Groups, Combinatorics Seminar, University of Miami, USA, November 2019
  • Universal oriented matroids for subword complexes of Coxeter groups, Combinatorics and Geometry Seminar, University of Washington, USA, November 2019
  • Universal oriented matroids for subword complexes of Coxeter groups, Combinatorics Seminar, University of Southern California, USA, November 2019
  • Universal oriented matroids for subword complexes of Coxeter groups, Combinatorics Seminar, UCLA, USA, November 2019

Research visits

  • Gradignan (France), February-March (2 weeks) 2011, with S. Brlek and M. Mendès France
  • LaCIM-UQÀM, Montréal (Québec), June-July (2 weeks) 2011, with C. Hohlweg
  • LaCIM-UQÀM, Montréal (Québec), August (2 weeks) 2012, with C. Hohlweg
  • Jussieu/Polytechnique, Paris (France), February-March (2 weeks) 2013, with V. Pilaud and C. Lange
  • Université de Paris Diderot-Paris 7, LIAFA, June (1 week) 2014, with S. Labbé
  • Oberwolfach - Geometric and Algebraic Combinatorics, February 2015
  • Universitad de Cantabria, Santander, Spain, February-March 2015, with F. Santos
  • Universitad de Cantabria, Santander, Spain, September-October 2015, with F. Santos
  • IMA, Minneapolis, USA, April 2018
  • Research in Pairs, Oberwolfach, Germany, May 2019

Contact