Email: efecastillo [dot] math [at] gmail [dot] com
I am a Profesor Asistente at the Departamento de Matemáticas de la Universidad Católica de Chile.
I received my PhD in June 2017 from University of California, Davis under the guidance of Fu Liu. I spent the Fall of 2017 at MSRI as a postdoc fellow. From 2018 to summer 2020 I was a Postdoc in the Department of Mathematics at the University of Kansas. And from fall 2020 to summer 2021 I was a postdoctoral researcher in the Nonlinear Algebra group of Bernd Sturmfels, at Max-Planck-Institut für Mathematik in den Naturwissenschaften (MiS) in Leipzig.
Here is my CV.
My research interests lie in discrete geometry and algebraic combinatorics.
Common tangents to polytopes, with Joseph Doolittle, and Jose Samper
An effective solution to convex 1-body N-representability, with Jean-Philippe Labbé, Julia Liebert, Arnau Padrol, Eva Philippe, and Christian Schilling.
Foundation of one-particle reduced density matrix functional theory for excited states, with Jean-Philippe Labbé, Julia Liebert, and Christian Schilling.
Algebraic Combinatorics, Volume 4 (2021) no. 3, pp. 387-407. (2021).
European Journal of Combinatorics (2021).
Advances in Mathematics 374 (2020)
International Math. Research Notices, (2020).
Advances in Mathematics 365 (2020)
Proceedings of The 2018 Summer Workshop on Lattice Polytopes, Osaka University (2018).
Journal of Combinatorial Theory Ser. A 160 (2018), 316-331
Discrete and Computational Geometry 60 (2018), no. 4, 885-908. journal online version
Electronic Journal of Combinatorics, 23 (2016), P3.8.
The arithmetic Tutte polynomials of the classical root systems, with Federico Ardila and Mike Henley:
International Math. Research Notices, (2015) 2015 3830-3877.
Todd Class of the permutohedral variety, FPSAC, July 2020.
Newton polytopes of Multidegrees. KUMUNU, September 2019.
Uniqueness of Symmetric McMullen formulas in braid fan. Reed's College Colloquium, April 2018.
Deformation cones of polytopes. BAD math day, October 2017