I am a postdoctoral researcher in mathematical quantum physics at Cermics, the laboratory of mathematics of the École des ponts, in the team of Éric Cancès. You can find my CV here, and you can email me on louis.garrigue(at)enpc.fr.

My main research interests are mathematical quantum mechanics, functional analysis, inverse problems, numerical analysis and spectral theory.

Preprints

[6] É. Cancès, L. Garrigue, D. Gontier. Second-order homogenization of periodic Schrödinger operators with highly oscillating potentials (arxiv:2112.12008), preprint (2021)

[5] L. Garrigue. Building Kohn-Sham potentials for ground and excited states (arxiv:2101.01127), preprint (2021)

Publications

[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

Sept 2020 - : postdoc at Cermics, École des ponts, in the team of Éric Cancès and in Inria's Matherials project.

Education

• 2017 - 2020 : PhD in mathematical physics at the university Paris-Dauphine, with Mathieu Lewin

• 2016 - 2017 : Master's degree in fundamental mathematics, university Paris-Diderot