Louis Garrigue

Louis Garrigue

Portrait

    I am a PhD student in mathematical physics at the university Paris-Dauphine, under the supervision of Mathieu Lewin. The goal of my PhD thesis is to investigate some mathematical aspects of Density functional theory, an approach of many-body quantum mechanics.

Publications

[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).

Education

September 2017 - August 2020 : PhD in mathematical physics at the university Paris-Dauphine

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

2014 - 2016 : Master's degree in theoretical physics, École normale supérieure

2012 - 2017 : Student and civil servant at the École normale supérieure in Paris

Slides

Here are condensed presentations of some of my works :

New Hohenberg-Kohn theorems, which I presented at Singapore in September 2019.

Unique continuation for the Hohenberg-Kohn theorem, which I presented at Banff in January 2019.

Miscellaneous

My research interests concern mathematical quantum physics in general.

You can find my CV here, and you can email me at myfamillyname@ceremade.dauphine.fr. Some lecture notes given for an introduction to physics for ENS students in humanities with Tony Jin, Alexandre Krajenbrink and Mathias Casiulis.