Vincent Pilaud

CNRS researcher in the team Modèles combinatoires at Laboratoire d'informatique de l'École Polytechnique

email: vincent dot pilaud at lix dot polytechnique dot fr
adress: École polytechnique - Laboratoire d'informatique (LIX) - 91128 Palaiseau Cedex - France
office: 2030
phone: +33 1 77 57 80 08

My PGP public key is here


Research

Publications and preprints

See my publication list (last update July 2022)

Edge connectivity of simplicial polytopes (Vincent Pilaud, Guillermo Pineda-Villavicencio, and Julien Ugon)
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)
arXiv:2201.06896
article
Acyclic reorientation lattices and their lattice quotients (Vincent Pilaud)
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)
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, 2022 (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)
Accepted in Algebraic Combinatorics
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 (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)
arXiv:1906.06861
32nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 20, online, July 2020), talk
article
Signaletic operads (Florent Hivert and Vincent Pilaud)
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
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
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

Reports

From permutahedra to associahedra, a walk through geometric and algebraic combinatorics
HDR (Université Paris Saclay)
article 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
article slides
Enveloppe convexe dans les revêtements ramifiés de l'espace euclidien
Master thesis (École Normale Supérieure)
directed by Michel Pocchiola (Université Paris 6)
article

Some slides of presentations


Supervision

Current PhD students

Completed PhD students

(see math genealogy)

Postdoc mentoring


Grants and projects

Principal investigator

Co-investigator

Associate member


Conferences and workshops

Coorganized

Attended

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


Teaching activities

See my page d'enseignement (in french).


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