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
See my publication list (last update February 2019)
Cambrian triangulations and their tropical realizations
(Vincent Pilaud)
See the article on the arXiv |
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Non-kissing and non-crossing complexes for locally gentle algebras
(Yann Palu, Vincent Pilaud, and Pierre-Guy Plamondon)
See the article on the arXiv 31th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 19, Ljubljana, July 2019), poster |
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Hopf dreams
(Nantel Bergeron, Cesar Ceballos, and Vincent Pilaud)
See the article on the arXiv 31th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 19, Ljubljana, July 2019) |
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The Hopf algebra of integer binary relations
(Vincent Pilaud and Viviane Pons)
See the article on the arXiv Content announced in Algebraic structures on integer posets (Vincent Pilaud, and Viviane Pons) in 30th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 18, Dartmouth, July 2018), poster |
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The weak order on Weyl posets
(Joël Gay and Vincent Pilaud)
Accepted in Canadian Journal of Mathematics (electronic version) See the article on the arXiv |
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Hopf algebras on decorated noncrossing arc diagrams
(Vincent Pilaud)
Journal of Combinatorial Theory, Series A, vol. 161, pp. 486-507, 2019 (electronic version) See the article on the arXiv Content announced in Polytopal realizations and Hopf algebra structures for lattice quotients of the weak order (Vincent Pilaud) in 31th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 19, Ljubljana, July 2019), poster |
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Quotientopes
(Vincent Pilaud and Francisco Santos)
Accepted in Bulletin of the London Mathematical Society See the article on the arXiv Content announced in Polytopal realizations and Hopf algebra structures for lattice quotients of the weak order (Vincent Pilaud) in 31th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 19, Ljubljana, July 2019), poster |
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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) See the article on the arXiv |
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Non-kissing complexes and tau-tilting for gentle algebras
(Yann Palu, Vincent Pilaud, and Pierre-Guy Plamondon)
Accepted in Memoirs of the American Mathematical Society See the article on the arXiv 30th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 18, Dartmouth, July 2018) |
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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) See the article on the arXiv 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) |
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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) See the article on the arXiv 30th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 18, Dartmouth, July 2018) |
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The weak order on integer posets
(Grégory Chatel, Vincent Pilaud, and Viviane Pons)
Algebraic Combinatorics, vol. 2 (1), pp. 1 – 48, 2019 (electronic version) See the article on the arXiv Content announced in Algebraic structures on integer posets (Vincent Pilaud, and Viviane Pons) in 30th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 18, Dartmouth, July 2018), poster |
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Permutrees
(Vincent Pilaud and Viviane Pons)
Algebraic Combinatorics, vol. 1 (2), pp. 173 - 224, 2018 (electronic version) See the article on the arXiv EuroComb 17, European Conference on Combinatorics, Graph Theory and Applications (Vienna, August 2017) |
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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) See the article on the arXiv 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 16, Vancouver, July 2016) |
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Brick polytopes, lattice quotients, and Hopf algebras
(Vincent Pilaud)
Journal of Combinatorial Theory, Series A, vol. 155, pp. 418 - 457, 2018 (electronic version) See the article on the arXiv 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 16, Vancouver, July 2016), poster |
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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) See the article on the arXiv |
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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) See the article on the arXiv 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 16, Vancouver, July 2016) |
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Cambrian Hopf algebras
(Grégory Chatel and Vincent Pilaud)
Advances in Mathematics, vol. 311, pp. 598 - 633, 2017 (electronic version) See the article on the arXiv 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 15, Daejong, July 2015) |
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Graph properties of graph associahedra
(Thibault Manneville and Vincent Pilaud)
Séminaire Lotharingien de Combinatoire, B73d, 31 pp, 2015 (electronic version) See the article on the arXiv Content announced in Diameters and geodesic properties of generalizations of the associahedron (Cesar Ceballos, Thibault Manneville, Vincent Pilaud, and Lionel Pournin) in 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 15, Daejong, July 2015), poster |
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Which nestohedra are removahedra?
(Vincent Pilaud)
Revista Colombiana de Matemáticas, vol. 51 (1), pp. 21 – 42, 2017 (electronic version) See the article on the arXiv |
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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) See the article on the arXiv Content announced in Diameters and geodesic properties of generalizations of the associahedron (Cesar Ceballos, Thibault Manneville, Vincent Pilaud, and Lionel Pournin) in 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 15, Daejong, July 2015), poster |
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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) See the article on the arXiv |
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Signed tree associahedra
(Vincent Pilaud)
See the article on the arXiv 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 14, Chicago, July 2014), poster |
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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) See the article on the arXiv |
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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) See the article on the arXiv 25th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 14, Paris, June 2014) |
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Associahedra via spines
(Carsten Lange and Vincent Pilaud)
Combinatorica, vol. 38 (2), pp. 443 – 486, 2018 (electronic version) See the article on the arXiv |
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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) See the article on the arXiv 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 13, Paris, June 2013) |
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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) See the article on the arXiv |
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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) See the article on the arXiv 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 13, Paris, June 2013), poster |
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The greedy flip tree of a subword complex
(Vincent Pilaud)
See the article on the arXiv 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. |
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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) See the article on the arXiv 23rd Canadian Conférence on Computational Geometry (CCCG 11, Toronto, August 2011) |
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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) See the article on the arXiv |
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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) See the article on the arXiv 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 12, Nagoya, July 2012) |
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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) See the article on the arXiv 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) |
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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) |
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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) See the article on the arXiv 18th Fall Workshop on Computational Geometry (FWCG 08, Troy, October 2008) XV Midsummer Combinatorial Workshop (Prague, July 2009) |
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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) See the article on the arXiv VII Jornadas de Matematica Discreta y Algorithmica (JMDA 10, Castro Urdiales, July 2010) |
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Prodsimplicial neighborly polytopes
(Benjamin Matschke, Julian Pfeifle, and Vincent Pilaud)
Discrete & Computational Geometry, vol. 46(1), pp. 100 – 131, 2011 (electronic version) See the article on the arXiv |
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Multitriangulations, pseudotriangulations and primitive sorting networks
(Vincent Pilaud and Michel Pocchiola)
Discrete & Computational Geometry, vol. 48(1), pp. 142 – 191, 2012 (electronic version) See the article on the arXiv 25th European Workshop on Computational Geometry (EuroCG 09, Bruxelles, March 2009) |
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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) |
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Multitriangulations as complexes of star polygons
(Vincent Pilaud and Francisco Santos)
Discrete & Computational Geometry, vol. 41(2), pp. 284 – 317, 2009 (electronic version) See the article on the arXiv 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) |
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 |
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Enveloppe convexe dans les revêtements ramifiés de l'espace euclidien Master thesis (École Normale Supérieure) directed by Michel Pocchiola (Université Paris 6) |
See my page d'enseignement (in french).