Vincent Pilaud

Beatriz Galindo researcher
Combinatorics group
Departament de Matemàtiques i Informàtica
Universitat de Barcelona

Formerly senior CNRS researcher (Directeur de recherche CNRS), on leave.

email: vincent dot pilaud at ub dot edu
address: Departament de Matemàtiques i Informàtica
           Universitat de Barcelona
           Gran via de les Corts Catalanes 585
           08007 Barcelona, Spain
office: P2 39 Edifici històric
phone: (+34) 93 402 16 54

My PGP public key is here

Opened positions

We opened 2 PhD positions (in Bochum and Frankfurt) and 1 postdoc position (in Barcelona), funded by the AEI (Spain) & DFG (Germany) project Combinatorial Polytope Theory.

Research

Publications and preprints

Interval hypergraphic lattices (Nantel Bergeron and Vincent Pilaud) arXiv:2411.09832	article
Pivot polytopes of products of simplices and shuffles of associahedra (Vincent Pilaud and Germain Poullot) arXiv:2410.12658	article
Wigglyhedra (Asilata Bapat and Vincent Pilaud) arXiv:2407.11632	article	slides
Geometric realizations of the s-weak order and its quotients (Eva Philippe and Vincent Pilaud) arXiv:2405.02092	article	slides
Rectangulotopes (Jean Cardinal and Vincent Pilaud) European Journal of Combinatorics, vol. 125, pp. 104090, 2025 (electronic version) arXiv:2404.17349	article
Posets for F-polynomials in cluster algebras from surfaces (Vincent Pilaud, Nathan Reading and Sibylle Schroll) arXiv:2311.06033	article
Cellular diagonals of permutahedra (Bérénice Delcroix-Oger, Guillaume Laplante-Anfossi, Vincent Pilaud and Kurt Stoeckl) arXiv:2308.12119	article	slides
Hochschild polytopes (Vincent Pilaud and Daria Poliakova) arXiv:2307.05940 36th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 24, Bochum, July 2024), poster	article	slides
Celebrating Loday's associahedron (Vincent Pilaud, Francisco Santos and Günter M. Ziegler) Archiv der Mathematik, vol. 121, pp. 559 – 601, 2023 (electronic version) arXiv:2305.08471	article
Refined product formulas for Tamari intervals (Alin Bostan, Frédéric Chyzak, and Vincent Pilaud) arXiv:2303.10986	article	slides
Lattices of acyclic pipe dreams (Nantel Bergeron, Noémie Cartier, Cesar Ceballos, and Vincent Pilaud) arXiv:2303.11025	article
Edge connectivity of simplicial polytopes (Vincent Pilaud, Guillermo Pineda-Villavicencio, and Julien Ugon) European Journal of Combinatorics, vol. 113, pp. 103752, 2023 (electronic version) arXiv:2209.07792	article
Pebble trees (Vincent Pilaud) arXiv:2205.06686	article
Shuffles of deformed permutahedra, multiplihedra, constrainahedra and biassociahedra (Frédéric Chapoton and Vincent Pilaud) Accepted in Annales Henri Lebesgue, 49 pp., 2024. arXiv:2201.06896	article
Acyclic reorientation lattices and their lattice quotients (Vincent Pilaud) Annals of Combinatorics, vol. 28, pp. 1035 – 1092, 2024 (electronic version) arXiv:2111.12387 34th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 22, Bangalore, July 2022), poster	article	slides
Deformed graphical zonotopes (Arnau Padrol, Vincent Pilaud, and Germain Poullot) Discrete & Computational Geometry, 19 pp., 2023 (electronic version) arXiv:2111.12422 34th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 22, Bangalore, July 2022), poster -- Deformation cones of hypergraphic polytopes Discrete Mathematics Days (Santander, 2022) -- Deformation cones of graphical zonotopes	article
The canonical complex of the weak order (Doriann Albertin and Vincent Pilaud) Order, vol. 40, pp. 349 – 370, 2023 (electronic version) arXiv:2111.11553 34th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 22, Bangalore, July 2022), talk	article
Deformation cones of graph associahedra and nestohedra (Arnau Padrol, Vincent Pilaud, and Germain Poullot) European Journal of Combinatorics, vol. 107, pp. 103594, 2023 (electronic version) arXiv:2109.09200 34th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 22, Bangalore, July 2022), poster -- Deformation cones of hypergraphic polytopes XIX Spanish Meeting on Computational Geometry (online, July 2021) -- Computing the type cone of nestohedra	article
Permutree sorting (Vincent Pilaud, Viviane Pons, and Daniel Tamayo Jiménez) Algebraic Combinatorics, vol. 6(1), pp. 53 – 74, 2023 (electronic version) arXiv:2007.07802 33rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 21, Ramat Gan, July 2021), poster	article
Shard polytopes (Arnau Padrol, Vincent Pilaud and Julian Ritter) International Mathematical Research Notices, vol. 2023(9), pp. 7686 – 7796, 2023 (electronic version) arXiv:2007.01008 33rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 21, Ramat Gan, July 2021), talk	article	slides
Removahedral congruences versus permutree congruences (Doriann Albertin, Vincent Pilaud, and Julian Ritter) Electronic Journal of Combinatorics, vol. 28(4), #P4.8, pp. 38, 2021 (electronic version) arXiv:2006.00264 33rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 21, Ramat Gan, July 2021), talk	article
The facial weak order on hyperplane arrangements (Aram Dermenjian, Christophe Hohlweg, Thomas McConville, and Vincent Pilaud) Discrete & Computational Geometry, vol. 67, pp. 166 – 202, 2022 (electronic version) arXiv:1910.03511 32nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 20, online, July 2020), poster	article
Associahedra for finite type cluster algebras and minimal relations between g-vectors (Arnau Padrol, Yann Palu, Vincent Pilaud, and Pierre-Guy Plamondon) Proceedings of the London Mathematical Society, vol. 127(3), pp. 513-588, 2023 (electronic version) arXiv:1906.06861 32nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 20, online, July 2020), talk	article	slides
Signaletic operads (Florent Hivert and Vincent Pilaud) Accepted in Mémoires de la Société Mathématique de France, 101 pp., 2024. arXiv:1906.02228 32nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 20, online, July 2020), poster	article	slides
Cambrian triangulations and their tropical realizations (Vincent Pilaud) European Journal of Combinatorics, vol. 83, 19 pp., 2020 (electronic version) arXiv:1809.00719	article
Non-kissing and non-crossing complexes for locally gentle algebras (Yann Palu, Vincent Pilaud, and Pierre-Guy Plamondon) Journal of Combinatorial Algebra, vol. 3(4), pp. 401 – 438, 2019 (electronic version) arXiv:1807.04730 31st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 19, Ljubljana, July 2019), poster	article	slides
Hopf dreams and diagonal harmonics (Nantel Bergeron, Cesar Ceballos, and Vincent Pilaud) Journal of the London Mathematical Society, vol. 105(3), pp. 1546 – 1600, 2022 (electronic version) arXiv:1807.03044 31st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 19, Ljubljana, July 2019), talk	article
The Hopf algebra of integer binary relations (Vincent Pilaud and Viviane Pons) IRMA Lectures in Mathematics and Theoretical Physics (Algebraic Combinatorics, Resurgence, Moulds and Applications, CARMA), vol. 31, pp. 299 – 344, 2020 (electronic version) arXiv:1807.03277 30th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 18, Dartmouth, July 2018), poster -- Algebraic structures on integer posets	article
The weak order on Weyl posets (Joël Gay and Vincent Pilaud) Canadian Journal of Mathematics, vol. 72(4), pp. 867 – 899, 2020 (electronic version) arXiv:1804.06572	article
Hopf algebras on decorated noncrossing arc diagrams (Vincent Pilaud) Journal of Combinatorial Theory, Series A, vol. 161, pp. 486 – 507, 2019 (electronic version) arXiv:1801.03867 31st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 19, Ljubljana, July 2019), poster -- Polytopal realizations and Hopf algebra structures for lattice quotients of the weak order	article
Quotientopes (Vincent Pilaud and Francisco Santos) Bulletin of the London Mathematical Society, vol. 51(3), pp. 406 – 420, 2019 (electronic version) arXiv:1711.05353 31st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 19, Ljubljana, July 2019), poster -- Polytopal realizations and Hopf algebra structures for lattice quotients of the weak order (Vincent Pilaud)	article	slides
A tau-tilting approach to dissections of polygons (Vincent Pilaud, Pierre-Guy Plamondon, and Salvatore Stella) Symmetry, Integrability & Geometry: Methods & Applications (SIGMA), vol. 14, Paper 045, 8 pp., 2018 (electronic version) arXiv:1710.02119	article
Non-kissing complexes and tau-tilting for gentle algebras (Yann Palu, Vincent Pilaud, and Pierre-Guy Plamondon) Memoirs of the American Mathematical Society, vol. 274, num. 1343, 2021 (electronic version) arXiv:1707.07574 30th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 18, Dartmouth, July 2018), talk	article	slides
Geometric realizations of the accordion complex of a dissection (Thibault Manneville and Vincent Pilaud) Discrete & Computational Geometry, vol. 61 (3), pp. 507 – 540, 2019 (electronic version) arXiv:1703.09953 Some preliminary material was presented in On quadrangulations and Stokes complexes (Amir-Hossein Bateni, Thibault Manneville and Vincent Pilaud) in EuroComb 17, European Conference on Combinatorics, Graph Theory and Applications (Vienna, August 2017)	article	slides
Polytopal realizations of finite type g-vector fans (Christophe Hohlweg, Vincent Pilaud, and Salvatore Stella) Advances in Mathematics, vol. 328, pp. 713 – 749, 2018 (electronic version) arXiv:1703.09551 30th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 18, Dartmouth, July 2018), talk	article
The weak order on integer posets (Grégory Chatel, Vincent Pilaud, and Viviane Pons) Algebraic Combinatorics, vol. 2 (1), pp. 1 – 48, 2019 (electronic version) arXiv:1701.07995 30th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 18, Dartmouth, July 2018), poster -- Algebraic structures on integer posets (Vincent Pilaud, and Viviane Pons)	article
Permutrees (Vincent Pilaud and Viviane Pons) Algebraic Combinatorics, vol. 1 (2), pp. 173 – 224, 2018 (electronic version) arXiv:1606.09643 EuroComb 17, European Conference on Combinatorics, Graph Theory and Applications (Vienna, August 2017)	article	slides
The facial weak order and its lattice quotients (Aram Dermenjian, Christophe Hohlweg, and Vincent Pilaud) Transactions of the American Mathematical Society, vol. 370 (2), pp. 1469 – 1507, 2018 (electronic version) arXiv:1602.03158 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 16, Vancouver, July 2016), talk	article
Brick polytopes, lattice quotients, and Hopf algebras (Vincent Pilaud) Journal of Combinatorial Theory, Series A, vol. 155, pp. 418 – 457, 2018 (electronic version) arXiv:1505.07665 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 16, Vancouver, July 2016), poster	article	slides
Cluster algebras of type D: pseudotriangulations approach (Cesar Ceballos and Vincent Pilaud) Electronic Journal of Combinatorics, vol. 22 (4), #P4.44, 21 pp., 2015 (electronic version) arXiv:1504.06377	article
Compatibility fans for graphical nested complexes (Thibault Manneville and Vincent Pilaud) Journal of Combinatorial Theory, Series A, vol. 150, pp. 36 – 107, 2017 (electronic version) arXiv:1501.07152 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 16, Vancouver, July 2016), talk	article	slides
Cambrian Hopf algebras (Grégory Chatel and Vincent Pilaud) Advances in Mathematics, vol. 311, pp. 598 – 633, 2017 (electronic version) arXiv:1411.3704 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 15, Daejong, July 2015), talk	article	slides
Graph properties of graph associahedra (Thibault Manneville and Vincent Pilaud) Séminaire Lotharingien de Combinatoire, B73d, 31 pp., 2015 (electronic version) arXiv:1409.8114 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 15, Daejong, July 2015), poster -- Diameters and geodesic properties of generalizations of the associahedron (Cesar Ceballos, Thibault Manneville, Vincent Pilaud, and Lionel Pournin)	article
Which nestohedra are removahedra? (Vincent Pilaud) Revista Colombiana de Matemáticas, vol. 51 (1), pp. 21 – 42, 2017 (electronic version) arXiv:1407.2464	article
The diameter of type D associahedra and the non-leaving-face property (Cesar Ceballos and Vincent Pilaud) European Journal of Combinatorics, vol. 51, pp. 109 – 124, 2016 (electronic version) arXiv:1406.0368 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 15, Daejong, July 2015), poster -- Diameters and geodesic properties of generalizations of the associahedron (Cesar Ceballos, Thibault Manneville, Vincent Pilaud, and Lionel Pournin)	article
Quasi-configurations: building blocks for point-line configurations (Jürgen Bokowski and Vincent Pilaud) ARS Mathematica Contemporanea, vol. 10 (1), pp. 99 – 112, 2016 (electronic version) arXiv:1403.7939	article	slides
Signed tree associahedra (Vincent Pilaud) arXiv:1309.5222 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 14, Chicago, July 2014), poster	article	slides
*On topological and geometric (19_4)* configurations** (Jürgen Bokowski and Vincent Pilaud) European Journal of Combinatorics, vol. 50, pp. 4 – 17, 2015 (special issue in Memory of Michel Las Vergnas) (electronic version) arXiv:1309.3201	article	slides
Analytic combinatorics of chord and hyperchord diagrams with k crossings (Vincent Pilaud and Juanjo Rué) Advances in Applied Mathematics, vol. 57, pp. 60 – 100, 2014 (electronic version) arXiv:1307.6440 25th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 14, Paris, June 2014)	article	slides
Associahedra via spines (Carsten Lange and Vincent Pilaud) Combinatorica, vol. 38 (2), pp. 443 – 486, 2018 (electronic version) arXiv:1307.4391	article	slides
Denominator vectors and compatibility degrees in cluster algebras of finite type (Cesar Ceballos and Vincent Pilaud) Transactions of the American Mathematical Society, vol. 367, pp. 1421 – 1439, 2015 (electronic version) arXiv:1302.1052 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 13, Paris, June 2013), talk	article
Vertex barycenter of generalized associahedra (Vincent Pilaud and Christian Stump) Proceedings of the American Mathematical Society, vol. 143 (6), pp. 2623 – 2636, 2015 (electronic version) arXiv:1210.3314	article	slides
EL-labelings and canonical spanning trees for subword complexes (Vincent Pilaud and Christian Stump) Discrete Geometry and Optimization, Fields Institute Communications Series, Springer, pp. 213 – 248, 2013 (electronic version) arXiv:1210.1435 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 13, Paris, June 2013), poster	article
The greedy flip tree of a subword complex (Vincent Pilaud) arXiv:1203.2323 Génération Aléatoire de Structures Combinatoires (GASCOM 12, Bordeaux, June 12) This paper is subsumed by the previous one, and will therefore not be published in a journal.	article	slides
*Enumerating topological (n_k)-configurations* (Jürgen Bokowski and Vincent Pilaud) Computational Geometry: Theory and Applications, vol. 47 (2), pp. 175 – 186, 2014 (special issue for the 23rd Canadian Conférence on Computational Geometry) (electronic version) arXiv:1210.0306 23rd Canadian Conférence on Computational Geometry (CCCG 11, Toronto, August 2011)	article	slides
Obstructions to weak decomposability for simplicial polytopes (Nicolai Hähnle, Steven Klee, and Vincent Pilaud) Proceedings of the American Mathematical Society, vol. 142 (9), pp. 3249 – 3257, 2014 (electronic version) arXiv:1206.6143	article
Brick polytopes of spherical subword complexes and generalized associahedra (Vincent Pilaud and Christian Stump) Advances in Mathematics, vol. 276, pp. 1 – 61, 2015 (electronic version) arXiv:1111.3349 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 12, Nagoya, July 2012), talk	article	slides
The brick polytope of a sorting network (Vincent Pilaud and Francisco Santos) European Journal of Combinatorics, vol. 33(4), pp. 632 – 662, 2012 (electronic version) arXiv:1103.2731 VII Jornadas de Matematica Discreta y Algorithmica (JMDA 10, Castro Urdiales, July 2010) Semester on Discrete & Computational Geometry, Culminating Workshop (Lausanne, November 2010) 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 11, Reykjavik, June 2011), talk	article	slides
On a dispersion problem in grid labeling (Minghui Jiang, Vincent Pilaud, and Pedro Tejada) SIAM Journal on Discrete Mathematics, vol. 26(1), pp. 39 – 51, 2012 (electronic version) 22st Canadian Conference on Computational Geometry (CCCG 10, Winipeg, August 2010)	article
On the number of simple arrangements of five double pseudolines (Julien Ferté, Vincent Pilaud, and Michel Pocchiola) Discrete & Computational Geometry, vol. 45(2), pp. 279 – 302, 2011 (special issue on Transversal and Helly-type Theorems in Geometry, Combinatorics and Topology) (electronic version) arXiv:1009.1575 18th Fall Workshop on Computational Geometry (FWCG 08, Troy, October 2008) XV Midsummer Combinatorial Workshop (Prague, July 2009)	article	slides
Polytopality and Cartesian products of graphs (Julian Pfeifle, Vincent Pilaud, and Francisco Santos) Israel Journal of Mathematics, vol. 192(1), pp. 121 – 141, 2012 (electronic version) arXiv:1009.1499 VII Jornadas de Matematica Discreta y Algorithmica (JMDA 10, Castro Urdiales, July 2010)	article	slides
Prodsimplicial neighborly polytopes (Benjamin Matschke, Julian Pfeifle, and Vincent Pilaud) Discrete & Computational Geometry, vol. 46(1), pp. 100 – 131, 2011 (electronic version) arXiv:0908.4177	article	slides
Multitriangulations, pseudotriangulations and primitive sorting networks (Vincent Pilaud and Michel Pocchiola) Discrete & Computational Geometry, vol. 48(1), pp. 142 – 191, 2012 (electronic version) arXiv:1009.5344 25th European Workshop on Computational Geometry (EuroCG 09, Bruxelles, March 2009)	article	slides
On symmetric realizations of the simplicial complex of 3-crossing-free sets of diagonals of the octagon (Jürgen Bokowski and Vincent Pilaud) XIII Encuentros de Geometria Computacional (Zaragoza, June 2009) 21st Canadian Conference on Computational Geometry (CCCG 09, Vancouver, August 2009)	article	slides
Multitriangulations as complexes of star polygons (Vincent Pilaud and Francisco Santos) Discrete & Computational Geometry, vol. 41(2), pp. 284 – 317, 2009 (electronic version) arXiv:0706.3121 20th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 08, Valparaiso, June 2008), poster VI Jornadas de Matematica Discreta y Algorithmica (JMDA 08, Lleida, July 2008)	article	slides

Reports

From permutahedra to associahedra, a walk through geometric and algebraic combinatorics HDR (Université Paris Saclay)	manuscript	slides
Multitriangulations, pseudotriangulations and some problems of realization of polytopes PhD Thesis (Université Paris 7 & Universidad de Cantabria) (co)directed by Michel Pocchiola (Université Paris 6) & Francisco Santos (Universidad de Cantabria) Premio Extraordinario de Doctorado de la Universidad de Cantabria	manuscript	slides
Enveloppe convexe dans les revêtements ramifiés de l'espace euclidien Master thesis (École Normale Supérieure) directed by Michel Pocchiola (Université Paris 6)	manuscript

Some slides of presentations

Supervision

Completed PhD students

(see math genealogy)

Germain Poullot (Oct. 2020 - Oct. 2023), co-supervised with Arnau Padrol (Univ. Barcelona), on Geometric combinatorics of paths and deformations of convex polytopes
Noémie Cartier (Oct. 2020 - Oct. 2023), co-supervised with Florent Hivert (Univ. Paris-Saclay), on Lattice properties of acyclic pipe dreams
Daniel Tamayo Jiménez (Sept. 2019 - Oct. 2023), co-supervised with Viviane Pons (Univ. Paris-Saclay), on Combinatorics of Permutreehedra and Geometry of s-Permutahedra
Doriann Albertin (Sept. 2019 - Sept. 2022), co-supervised with Jean-Christophe Novelli (Univ. G. Eiffel), on Combinatoire et géométrie des quotients de l'ordre faible
Julian Ritter (Sept. 2017 - Oct. 2021) on Shard polytopes and quotientopes for lattice congruences of the weak order
Mathias Lepoutre (Sept. 2016 – Sept. 2019), co-supervised with Marie Albenque (CNRS & Polytechnique), on Blossoming bijections, multitriangulations : What about other surfaces?
Aram Dermenjian (Sept. 2015 – Aug. 2019), co-supervised with Christophe Hohlweg (UQÀM), on Facial weak order, Coxeter groups and oriented matroids
Joël Gay (Oct. 2015 – June. 2018), co-supervised with Florent Hivert (Univ. Paris-Saclay), on Representation of Monoids and Lattice Structures in the Combinatorics of Weyl Groups
Thibault Manneville (Oct. 2014 – July 2017), co-supervised with Gilles Schaeffer (CNRS & Polytechnique), on Geometrical and combinatorial generalizations of the associahedron

Postdoc mentoring

Henri Mühle (Oct. 2015 – Sept. 2016)

Grants and projects

Principal investigator

AEI-DFG project COMbinatorial POlytope ThEory, 2025 - 2028, 466k€
Project PAAGT of Labex Digicosme (including a postdoc hire), 2015 – 2016, 51k€
GT Combinatoire of Labex Digicosme (seminar and MSc grants), 2014 – 2018, 10k€

Co-investigator

French Agence Nationale de la Recherche

French ANR-21-CE48-0020 -- Austrian FWF-I-5788 collaborative project PAGCAP (Beyond Permutahedra and Associahedra: Geometry, Combinatorics, Algebra, and Probability), PI Viviane Pons (Univ. Paris Saclay) & Cesar Ceballos (Univ. Graz), 8 researchers, 2020 – 2024, 499k€
French ANR-19-CE40-0017 CHARMS (Clusters, Homological Algebra, Representations and Mirror Symmetry), PI Yann Palu (Univ. Amiens), 14 researchers, 2020 – 2024, 260k€
French ANR-17-CE40-0018 CAPPS (Combinatorial Analysis of Polytopes and Polyhedral Subdivisions), PI Arnau Padrol (Univ. Paris 6), 6 researchers, 2018 – 2021, 164k€
French ANR-15-CE40-0004-01 SC3A (Surfaces, Categorification and Combinatorics of Cluster Algebras), PI Yann Palu (Univ. Amiens), 7 researchers, 2015 – 2019, 144k€
French ANR-12-JS02-002-01 EGOS (Embedded Graphs and their Oriented Structure), PI Benjamin Lévêque (Univ. Montpellier), 7 researchers, 2012 – 2015, 158k€

Spanish Ministerio de Ciencias e Innovacion

Spanish MICINN PID2022-137283NB-C21 (Combinatoria geométrica y sus conexiones al álgebra), PIs Arnau Padrol (Univ. Barcelona) & Francisco Santos (Univ. Cantabria), 2024 – 2027, 200k€
Spanish PID2019-106188GB-I00 (Combinatoria y Complejidad de Estructuras Geométricas Discretas), PI Francisco Santos (Univ. Cantabria), 2020 – 2023, 40k€
Spanish MICINN MTM2017-83750-P (Combinatoria y Complejidad de Estructuras Geométricas Discretas), PI Francisco Santos (Univ. Cantabria), 2018 – 2019, 20k€
Spanish MICINN MTM2011-22792 (Combinatoria y Complejidad de Estructuras Geométricas Discretas), PI Francisco Santos (Univ. Cantabria), 2012 – 2015, 50k€
Spanish MICINN MTM2008-04699-C03-02 (Combinatoria geométrica y sus conexiones al álgebra), PI Francisco Santos (Univ. Cantabria), 2009 – 2011, 50k€
Spanish MICINN MTM2005-08618-C02-02 (Combinatoria geométrica y sus conexiones al álgebra), PI Francisco Santos (Univ. Cantabria), 2006 – 2008, 50k€

Others

Project MathAMSud ALGonCOMB (Algebraic structures supported on families of combinatorial objects), 6 researchers, 2022 – 2025, 30k€

Associate member

Associate member to Université du Québec À Montréal, since 2016
Associate member to Institut de Mathématiques de Jussieu, since 2018

Conferences and workshops

Coorganized

December 2025 - Beyond permutahedra and associahedra (CIRM, Marseille)
January 2025 - Barcelona Discrete Mathematics Meeting 2025 (CRM, Barcelona)
November 2024 - PAGCAP meeting (Barcelona, Spain)
January 2024 - Santander Workshop on Geometric and Algebraic Combinatorics (Santander, Spain)
July 2023 - Journées du GT CombAlg (Paris)
June 2019 - Summer School on Geometric and Algebraic Combinatorics (Paris, France)
June 2018 - 6th Encuentro Colombiano de Combinatoria (ECCO 18, Barranquilla, Colombia)
March 2018 - 20 ans d'algèbres amassées (CIRM, Marseille)
May-June 2017 - CRM research school and workshop on Algebraic and Geometric Combinatorics of Reflection Groups (Montreal)
March 2017 - 78th Séminaire Lotharingien de Combinatoire (SLC 78, Domaine Saint-Jacques)
July 2016 - 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 16, Vancouver)
June 2016 - 5th Encuentro Colombiano de Combinatoria (ECCO 16, Medellín, Colombia)
September 2015 - Journées du GT CombAlg (Paris)
November 2014 - Journées EGOS 2014 (Paris)
November 2013 - Recent Trends in Algebraic and Geometric Combinatorics (Madrid)
October 2013 - Journées EGOS 2013 (Paris)
June 2013 - 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 13, Paris)

Attended

(essential part of my website for me to know where to go :)

July 2026 - 38th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 26, Seattle, USA)
December 2025 - Beyond permutahedra and associahedra (CIRM, Marseille)
July 2025 - 37th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 25, Sapporo, Japan)
February 2025 - Winter School and Workshop on Polytopes 2025 (Osnabrück)
January 2025 - Workshop on Lattice Theory (Banff, Canada)
December 2024 - Conference Polytopes and friends (Stockholm, Sweden)
November 2024 - New developments in representation theory of algebras: Algebraic, combinatorial and geometric aspects (Okinawa)
November 2024 - PAGCAP meeting (Barcelona, Spain)
July 2024 - 36th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 24, Bochum, Germany)
May 2024 - ISM Discovery School: Geometry and Combinatorics of Flow polytopes and Gentle algebras (Montreal)
March 2024 - Combinatorial Cowork Space (Kleinwalsertal, Austria)
March 2024 - Workshop Combinatorics, Algorithms, and Geometry (Dresden)
February 2024 - Winterbraids 2024 (Montpellier)
December 2023 - Oberwolfach workshop on Geometric, Algebraic, and Topological Combinatorics (Oberwolfach)
November 2023 - Current trends in representation theory, cluster algebras and geometry (Marseille)
November 2023 - PAGCAP meeting (Orsay, attended online)
November 2023 - Barcelona Mathematical Days (Barcelona)
July 2023 - Journées du GT CombAlg (Paris)
March 2023 - Workshop on Combinatorics and Geometry of Convex Polyhedra (Simons Center, Stony brook, USA)
January 2023 - Workshop Homotopy theory meets polyhedral combinatorics (Barcelona)
September 2022 - Workshop on Polytope Diameter and Related Topics (online)
July 2022 - 34th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 22, Bangalore & online)
April 2022 - PAGCAP meeting (Paris)
January 2022 - 33rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 21, online)
July 2021 - Workshop on Combinatorial Reconfiguration (online)
April 2021 - (Poly)topics (online)
July 2020 - 32nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 20, online)
July 2020 - Inaugural meeting CHARMS ANR (online)
September 2019 - Closing meeting SC3A ANR
July 2019 - 31st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 19, Ljubljana)
June 2019 - Summer School on Geometric and Algebraic Combinatorics (Paris)
December 2018 - Cluster Structures in Geometry, Physics, Combinatorics and Representation Theory (Jerusalem)
September 2018 - Algèbre et combinatoire au LACIM (Montreal)
July 2018 - 30th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 18, Dartmouth College)
June 2018 - 6th Encuentro Colombiano de Combinatoria (ECCO 18, Barranquilla)
March 2018 - 80th Séminaire Lotharingien de Combinatoire (SLC'80, Lyon)
March 2018 - 20 ans d'algèbres amassées (Marseille)
February 2018 - Journées de Combinatoire de Bordeaux (JCB 18, Bordeaux)
January 2018 - Journées Polytopes à Paris
December 2017 - Journées de Géométrie Algorithmique (JGA 2017, Aussois)
October 2017 - Geometry and combinatorics of associativity (Dublin)
June 2017 - 29th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 17, London)
June 2017 - Algebraic Combinatorics, Resurgence, Moulds and Applications (Marseille)
June 2017 - CONNECT Workshop on Geometric Networks (Barcelona)
May-June 2017 - CRM research school and workshop on Algebraic and Geometric Combinatorics of Reflection Groups (Montreal)
March 2017 - 78th Séminaire Lotharingien de Combinatoire (SLC 78, Domaine Saint-Jacques)
July 2016 - 6th Portuguese Combinatorics Day (Lisbon)
July 2016 - Journées Combinatoires Franco-Vancouvéroises (Vancouver)
July 2016 - 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 16, Vancouver)
June 2016 - 5th Encuentro Colombiano de Combinatoria (ECCO 16, Medellín)
April 2016 - 76th Séminaire Lotharingien de Combinatoire (SLC 76, Domaine Saint-Jacques)
February 2016 - Journées EGOS 2016 (Grenoble)
December 2015 - Canadian Mathematical Society Winter Meeting (CMS 2015, Montreal)
November 2015 - Journées de Combinatoire de Lyon
November 2015 - Oberwolfach workshop on Friezes (Oberwolfach)
September 2015 - Journées du GT CombAlg (Paris)
July 2015 - 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 15, Daejeon)
July 2015 - Summer School CombinatoireS (Paris)
June 2015 - 8th Slovenian Conference on Graph Theory (KG15, Kranjska Gora)
June 2015 - Sage days 64.5 on cluster algebras (Institute for Mathematics and Applications, Minnesota)
February 2015 - Oberwolfach workshop on Geometric and Algebraic Combinatorics (Oberwolfach)
November 2014 - Journées EGOS 2014 (Paris)
August 2014 - Integrability and Cluster Algebras: Geometry and Combinatorics (Providence)
July 2014 - 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 14, Chicago)
June 2014 - 25th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 14, Paris)
March 2014 - 72ème Séminaire Lotharingien de Combinatoire (SLC72, Lyon)
February 2014 - Journées de Combinatoire de Bordeaux 2014 (JCB 14, Bordeaux)
January 2014 - Korea-Japan workshop on algebra and combinatorics (KJ2014, KAIST, Daejeon, Korea)
November 2013 - Recent Trends in Algebraic and Geometric Combinatorics (Madrid)
October 2013 - Journées EGOS 2013 (Paris)
June 2013 - 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 13, Paris)
April 2013 - Combinatorial Geometries: matroids, oriented matroids and applications (Marseille)
February 2013 - Jürgen Bokowski's Festschrift (Darmstadt)
February 2013 - Journées de Combinatoire de Bordeaux 2013 (JCB 13, Bordeaux)
October 2012 - Journées EGOS 2012 (Montpellier)
August 2012 - Workshop Coxeter Groups meet Convex Geometry (Montreal)
July 2012 - 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 12, Nagoya)
July 2012 - Workshop on Convex Polytopes (Kyoto)
June 2012 - Génération Aléatoire de Structures Combinatoires (GASCOM 12, Bordeaux)
May 2012 - Oberwolfach workshop on Triangulations (Oberwolfach)
February 2012 - Algorithms and permutations 2012 workshop (Paris)
December 2011 - Canadian Mathematical Society Winter Meeting 2011 (Toronto)
September - December 2011 - Fields Institute Thematic Program on Discrete Geometry and Applications (Toronto)
August 2011 - Canadian Conférence on Computational Geometry (CCCG 11, Toronto)
June 2011 - XIV Encuentros de Geometria Computacional (Alcala de Henares)
June 2011 - Young Workshop in Arithmetics and Combinatorics (Madrid)
June 2011 - 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 11, Reykjavik)
November 2010 - Semester on Discrete & Computational Geometry, Culminating Workshop (Lausanne)
September 2010 - Conference on Geometric Graph Theory (Lausanne)
August 2010 - Bernoulli Conference on Discrete & Computational Geometry (Lausanne)
July 2010 - The Mathematics of Klee & Grünbaum - 100 years in Seattle (Seattle)
July 2010 - 7th European Research Week on Geometric Graphs and Pseudo-Triangulations (Castelldefels)
July 2010 - VII Jornadas de Matematica Discreta y Algorithmica (JMDA 10, Castro Urdiales)
January 2010 - Journées de combinatoires de Bordeaux 2010 (JCB 10, Bordeaux)
November 2009 - Subdivide and Tile: Triangulating spaces for understanding the world (Leiden)
August 2009 - 21st Canadian Conference on Computational Geometry (CCCG 09, Vancouver)
June 2009 - XIII Encuentros de Geometria Computacional (Zaragoza)
March 2009 - 25th European Workshop on Computational Geometry (EuroCG 09, Bruxelles)
January - March 2009 - i-MATH Winter School DocCourse Combinatorics and Geometry 2009: Discrete and Computational Geometry (Barcelone)
October 2008 - 18th Fall Workshop on Computational Geometry (FWCG 08, Troy)
July 2008 - VI Jornadas de Matematica Discreta y Algorithmica (JMDA 08, Lleida)
June 2008 - 20th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 08, Valparaiso)
May 2008 - Topological and Geometric Graph Theory (TGGT, Paris)
March 2008 - 24th European Workshop on Computational Geometry (EuroCG 08, Nancy)
November 2007 - Journées Graphes et Algorithmes 2007 (Paris)
June 2007 - XII Encuentros de Geometria Computacional (Valladolid)
May 2007 - (Pre)Doc Course : Integer Points in Polyhedra (first two weeks, Berlin)
March 2007 - Journées de Géométrie Algorithmique 2007 (Marseille)
January 2007 - Analytic and Probabilistic Techniques in Combinatorics (Barcelone)
September 2006 - Workshop on Geometric and Topological Combinatorics (Alcala de Henares)
September 2006 - Combinatorial and Computational Geometry: Trends and topics for the future (Alcala de Henares)

Teaching activities

See my page d'enseignement (in french).