After completing my Phd (2007-2010) under the supervision of Francisco Santos (Universidad de Cantabria) and Michel Pocchiola (Sorbonne Université Paris), I did short postdoctoral visits at UPC Barcelona (fall 2010) and Fields Institute Toronto (fall 2011), and became a CNRS researcher at École Polytechnique in France (2012-2023). I recently joined the Universitat de Barcelona as a senior Beatriz Galindo researcher.
Personal website: https://www.ub.edu/comb/vincentpilaud
Combinatorics
Polytopes and fans
Cluster algebras
Combinatorial Hopf algebras
Participant to French ANR projects PAGCAP (ANR-21-CE48-0020), CHARMS (ANR-19-CE40-0017), CAPPS (ANR-17-CE40-0018), SC3A (ANR-15-CE40-0004-01), and EGOS (ANR-12-JS02-002-01).
Participant to the Spanish MICINN projects PID2022-137283NB-C21, PID2019-106188GB-I00, MTM2017-83750-P, MTM2011-22792, MTM2008-04699-C03-02, and MICINN MTM2005-08618-C02-02.
Arnau Padrol, Vincent Pilaud and Julian Ritter. Shard polytopes. International Mathematical Research Notices, vol. 2023(9), pp. 7686 – 7796, 2023.
Arnau Padrol, Yann Palu, Vincent Pilaud, and Pierre-Guy Plamondon. Associahedra for finite type cluster algebras and minimal relations between g-vectors. Proceedings of the London Mathematical Society, vol. 127(3), pp. 513-588, 2023.
Yann Palu, Vincent Pilaud, and Pierre-Guy Plamondon. Non-kissing complexes and tau-tilting for gentle algebras. Memoirs of the American Mathematical Society, vol. 274, num. 1343, 2021.
Christophe Hohlweg, Vincent Pilaud, and Salvatore Stella. Polytopal realizations of finite type g-vector fans. Advances in Mathematics, vol. 328, pp. 713 – 749, 2018
Aram Dermenjian, Christophe Hohlweg, and Vincent Pilaud. The facial weak order and its lattice quotients. Transactions of the American Mathematical Society, vol. 370 (2), pp. 1469 – 1507, 2018
Grégory Chatel and Vincent Pilaud. Cambrian Hopf algebras. Advances in Mathematics, vol. 311, pp. 598 – 633, 2017
Cesar Ceballos and Vincent Pilaud. Denominator vectors and compatibility degrees in cluster algebras of finite type. Transactions of the American Mathematical Society, vol. 367, pp. 1421 – 1439, 2015
Vincent Pilaud and Christian Stump. Brick polytopes of spherical subword complexes and generalized associahedra. Advances in Mathematics, vol. 276, pp. 1 – 61, 2015