Ph.D. Student
I am a Ph.D. student in Computer Science and Mathematics in the LIPN (Laboratoire d'Informatique de Paris Nord), at the University of Sorbonne Paris Nord in France, supervised by Roland Grappe and Bruno Vallette. My Ph.D. subject is "Box-integrality and the integer decomposition property". It gathers combinatorial optimization, polyhedral geometry, toric geometry and operad theory.
I teach at the IUT Villetaneuse.
During my Master degree, I took a year off to focus on research with Suyoung Choi, with whom I undertook my bachelor degree internship. Our research is mainly focused on the study of toric manifolds, and the combinatorics that appear from them. The tools used here range from (binary) matroid theory to PL-spheres together with algebraic geometry and Groebner bases.
This is my Ph.D. subject. Box-integrality is a property of some integer polyhedron to remain integer after a truncation with any integer box. Integer decomposition properties is the study of integer points in convex polyhedra and, more precisely, of how to find "minimal" generators of these integer points. The goal of this strudy is to try to link both by looking at integer decomposition properties of polyhedra satisfying box-integrality. For this subject, I use plenty discrete geometry such as triangulation of polyhedron, box-total dual integrality and the structure of the determinants in matrices.
Suyoung Choi, Hyeontae jang, Mathieu Vallée
(2023)
ArXiv:2301.00806
Suyoung Choi, Mathieu Vallée
(2022)
Pacific Journal of Mathematics
Vol. 320-1, pages 13–43
Suyoung Choi, Mathieu Vallée
(2022)
Proceedings of the Steklov Institute of Mathematics
Vol. 317, pages 178–188
I have been an amateur photographer starting from 2020 when I went to Korea for an exchange year. Since then I took this hobby seriously and always carry a camera with me.
