I am researcher and lecturer at the laboratory of mathematics of Cergy's university. You can find my CV here, and email me on louis.garrigue
cyu.fr
My research field is mathematical quantum mechanics, I analyze existing methods and try to develop new tools. I use functional analysis, spectral theory, variational methods, and simulations
Articles
Preprints
- [10] L. Garrigue, B. Stamm. On reduced basis methods for eigenvalue problems, and on its coupling with perturbation theory (arxiv:2408.11924), preprint (2024)
- [9] G. Dusson, L. Garrigue, B. Stamm. A multipoint perturbation formula for eigenvalue problems (arxiv:2305.08151), preprint (2023)
Publications
- [8] L. Garrigue. Mixed state representability of entropy-density pairs (arxiv:2203.16441), Journal of Mathematical Physics (2024)
- [7] E. Cancès, L. Garrigue, D. Gontier. A simple derivation of moiré-scale continuous models for twisted bilayer graphene (arxiv:2206.05685), Physical Review B (2023)
- [6] E. Cancès, L. Garrigue, D. Gontier. Second-order homogenization of periodic Schrödinger operators with highly oscillating potentials (arxiv:2112.12008), SIAM Journal on Mathematical Analysis (2022)
- [5] L. Garrigue. Building Kohn-Sham potentials for ground and excited states (arxiv:2101.01127), Archive for Rational Mechanics and Analysis (2022)
- [4] L. Garrigue. Some properties of the potential-to-ground state map in quantum mechanics (arxiv:2012.04054), Communications in Mathematical Physics (2021)
- [3] L. Garrigue. Unique continuation for many-body Schrödinger operators and the Hohenberg-Kohn theorem. II. The Pauli Hamiltonian (arxiv:1901.03207), Documenta Mathematica (2020)
- [2] L. Garrigue. Hohenberg-Kohn theorems for interactions, spin and temperature (arxiv:1906.03191), Journal of Statistical Physics (2019)
- [1] L. Garrigue. Unique continuation for many-body Schrödinger operators and the Hohenberg-Kohn theorem. (arxiv:1804.07564), Mathematical Physics, Analysis and Geometry (2018)
Positions
- Feb 2023 - : "tenure track" at Cergy's university, in the laboratory of mathematics
- Oct 2022 - jan 2023 : postdoc at Stuttgart's university, in the team of Benjamin Stamm
- Sep 2020 - sep 2022 : postdoc at Cermics, École des ponts, in the team of Eric Cancès and in Inria's Matherials project
- 2017 - 2020 : PhD in mathematical physics at the university Paris-Dauphine, with Mathieu Lewin
Codes
On my github repository, you can find:
- a code implementing multipoint perturbation theory up to second order and applying it to Schrödinger operators, corresponding to this article
- a code to compute an effective model of twisted bilayer graphene and its band diagrams, corresponding to this article. Moreover, here is a file with more details for the implementation
- a code to compute the eigenmodes of the homogenized Schrödinger operator, corresponding to this article
- a code to propagate in time the exact many-body Schrödinger operator containing the two-body interaction between particles, in dimension one but for any number of particles
- a code to obtain the inverse potential of some one-body density, corresponding to this article.