Rafaël Digneaux - PhD Student in Lille
Welcome to the website of Rafaël Digneaux, here you will find my research interest, preprints, academic background, and more.
Contact
You can find me in Lille, at laboratoire Paul Painlevé, M3 building, office 320 (3rd floor), and by email at rafael.digneaux[at]univ-lille.fr or rafael.digneaux[at]ens-paris-saclay.fr.
About my thesis
Since September 2024, I have been a PhD student at Université de Lille, under the supervision of David Dereudre (professor). My thesis is titled:
"Rigidity of Riesz gas and dependent perturbed lattices".
The goal of this thesis is to establish rigidity properties (number-rigidity, hyperuniformity, crystallization) rigorously for Riesz gas. These gas are infinite point processes defined in dimension d, and with homogeneity parameter s, by following the interaction potential |x|^{-s} if s>0 (singular case), and -|x|^{-s} if s<0 (non-singular case).
Interests
Keywords: spatial point processes, rigidities, number-rigidity, hyperuniformity, cristallization, Riesz gas, Gibbs measure, DLR equations
Curriculum Vitae
I graduated from École Normale Supérieure Paris-Saclay (formerly in Cachan) and from Université Paris-Saclay in 2024, where I completed the Master 2 program in Probability and Statistics (Orsay). Prior to that, I passed the "agrégation" in maths in 2023 (ranked 13th). I did my "prépa" at lycée Montaigne (Bordeaux).
Preprints and papers
[1] "Rigidity of one-dimensional point processes via optimal transport", David Dereudre, Rafaël Digneaux
Conferences attended
2024-2025
GeoSto2025 (Grenoble)
Hyperuniformity and related matters (Paris)
GrHyDy, random spatial models (Lille)
Talks
2024-2025
Working group on point processes (Lille) (~2h)
Teaching
2025-2026
L2: discrete probabilities
L2: numerical methods (Python)
L2: generalized integrals & Fourier series
M2: estimation statistics & Markov chains (Matlab, Python) at IMT Nord Europe
2024-2025
L2: discrete probabilities
L1: general mathematics
In 2023-2024, I was "khôlleur" in MP* at lycée Blaise Pascal (Orsay).
Agrégation
J'ai passé l'agrégation en 2023 (classé 13ème) après la prépa agreg de l'ENS Paris-Saclay. Vous pouvez retrouver ici l'ensemble de mes développements tapés, ainsi que le tableau des couplages des développements avec toutes les leçons, et ici mon retour sur les oraux.
