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 July 2022)
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 |
article | slides |
Celebrating Loday's associahedron
(Vincent Pilaud, Francisco Santos and Günter M. Ziegler)
Accepted in Arkiv der Mathematik, 31 pp., 2023 arXiv:2305.08471 |
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Refined product formulas for Tamari intervals
(Alin Bostan, Frédéric Chyzak, and Vincent Pilaud)
arXiv:2303.10986 |
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Lattices of acyclic pipe dreams
(Nantel Bergeron, Noémie Cartier, Cesar Ceballos, and Vincent Pilaud)
arXiv:2303.11025 |
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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 |
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Pebble trees
(Vincent Pilaud)
arXiv:2205.06686 |
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Shuffles of deformed permutahedra, multiplihedra, constrainahedra and biassociahedra
(Frédéric Chapoton and Vincent Pilaud)
arXiv:2201.06896 |
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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)
Accepted in Discrete & Computational Geometry, 14 pp., 2023 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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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Cambrian triangulations and their tropical realizations
(Vincent Pilaud)
European Journal of Combinatorics, vol. 83, 19 pp., 2020 (electronic version) arXiv:1809.00719 |
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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 |
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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 |
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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 |
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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 |
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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) 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 |
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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) |
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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) arXiv:1710.02119 |
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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 |
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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) 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) |
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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) arXiv:1703.09551 30th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 18, Dartmouth, July 2018), talk |
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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) 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) |
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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) |
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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) arXiv:1602.03158 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 16, Vancouver, July 2016), talk |
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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) 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 |
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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) 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) |
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Which nestohedra are removahedra?
(Vincent Pilaud)
Revista Colombiana de Matemáticas, vol. 51 (1), pp. 21 – 42, 2017 (electronic version) arXiv:1407.2464 |
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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) 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) |
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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) arXiv:1403.7939 |
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Signed tree associahedra
(Vincent Pilaud)
arXiv:1309.5222 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) arXiv:1309.3201 |
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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) arXiv:1307.6440 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) arXiv:1307.4391 |
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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) arXiv:1302.1052 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 13, Paris, June 2013), talk |
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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) arXiv:1210.3314 |
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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) arXiv:1210.1435 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)
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. |
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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) arXiv:1210.0306 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) arXiv:1206.6143 |
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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) arXiv:1111.3349 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 12, Nagoya, July 2012), talk |
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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) 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 |
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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) arXiv:1009.1575 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) arXiv:1009.1499 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) arXiv:0908.4177 |
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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) arXiv:1009.5344 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) 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) |
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From permutahedra to associahedra, a walk through geometric and algebraic combinatorics HDR (Université Paris Saclay) |
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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) |
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(see math genealogy)
(essential part of my website for me to know where to go :)
See my page d'enseignement (in french).