E-mail vincent.pilaud@ub.edu
Position Investigador Beatriz Galindo Senior
Other funding Beatriz Galindo
Research interests Combinatorics
Area Combinatronics Logic And Algorithmics
Group Combinatronics Logic And Algorithmics
Pilaud, Vincent
Biosketch

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 

Other Research Interests

Combinatorics
Polytopes and fans
Cluster algebras
Combinatorial Hopf algebras

Projects

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.

Selected publications

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