Professor Titular at the Universitat de Barcelona since 2022.
Previously I was a Maître de Conférences at the Institute de Mathématiques de Jussieu – Paris Rive Gauche at Sorbonne Université (2015-2022), a postdoc under the supervision of Günter Ziegler and Raman Sanyal at the Discrete Geometry Group of the Freie Universität Berlin (2013-2015), and a PhD student under the supervision of Julian Pfeifle at the Universitat Politècnica de Catalunya (2009-2013).
Discrete and Combinatorial Geometry, Convex Polytopes, Oriented Matroids.
Co-PI of the project Geometric combinatorics and its connections to algebra (PID2022-137283NB-C21) 2023-2026
PI of the project Combinatorial Analysis of Polytopes and Polyhedral Subdivisions (CAPPS) (ANR-17-CE40-0018) 2018-2022
Arnau Padrol, Eva Philippe, and Francisco Santos, Many regular triangulations and many polytopes, Math. Ann. (2023), doi:10.1007/s00208-023-02652-4
Arnau Padrol, Yann Palu, Vincent Pilaud, and Pierre-Guy Plamondon, Associahedra for finite type cluster algebras and minimal relations between g-vectors, Proc. Lond. Math. Soc. 127 (2023), no. 3, 513–588, doi:https://doi.org/10.1112/plms.12543
Arnau Padrol, Vincent Pilaud, and Julian Ritter, Shard polytopes, Int. Math. Res. Not. IMRN (2023), no. 9, 7686–7796, rnac042, doi:10.1093/imrn/rnac042
Cesar Ceballos, Arnau Padrol, and Camilo Sarmiento, Geometry of ν-Tamari lattices in types A and B, Trans. Amer. Math. Soc. 371 (2019), no. 4, 2575–2622, doi:10.1090/tran/7405
Karim A. Adiprasito and Arnau Padrol, The universality theorem for neighborly polytopes, Combinatorica 37 (2017), no. 2, 129–136, doi:10.1007/s00493-016-3253-9
Arnau Padrol, Polytopes with few vertices and few facets, Journal of Combinatorial Theory, Series A 142 (2016), 177–180, doi:10.1016/j.jcta.2016.04.001