Research


Publications

  • Strichartz inequalities with white noise potential on compact surfaces
    With I. Zachhuber, submitted (2021)
  • 2D magnetic random Laplacian with white noise magnetic field
    With L. Morin, accepted in Stochastic Processes and their Applications (2021)
  • Weyl law for the Anderson Hamiltonian on a two-dimensional manifold
    accepted in Annales de l'Institut Henri Poincaré (2021)
  • Paracontrolled calculus for quasilinear singular PDEs
    With I. Bailleul, submitted (2019)

PhD manuscript

A paracontrolled calculus for singular stochastic PDEs on manifolds : to infinity and beyond
Defended the 24 of June 2021 at Rennes


Talks

  • May 2021 Seminar of the team Processus Stochastiques, Institut de Recherche Mathématiques de Rennes (IRMAR).
    Talk on singular diffusions in disordered media.
  • Feb. 2021 14th Annual ERC Berlin-Oxford Young Researchers Meeting on Applied Stochastic Analysis, Oxford Mathematical Institute.
    Talk on singular stochastic operators.
  • Jan. 2021 Séminaire Gaussbusters, Institut de Recherche Mathématiques de Rennes (IRMAR).
    Talk on a brief history of SPDEs and their motivations.
  • Oct. 2020 Higher Structures Emerging from Renormalisation, Erwin Schrödinger Institute (ESI), Vienna.
    Talk on paracontrolled calculus and quasilinear singular SPDEs.
  • Jun. 2020 13th Annual ERC Berlin-Oxford Young Researchers Meeting on Applied Stochastic Analysis, Weierstrass Institute (WIAS).
    Talk on the Anderson Hamiltonian on a two-dimensional manifold.
  • Jun. 2020 Groupe de travail des thésards, Laboratoire Jacques-Louis Lions (LJLL).
    Talk on paracontrolled calculus and the Anderson Hamiltonian on a two-dimensional manifold.
  • May 2020 Les probabilités de demain, Laboratoire de Probabilités, Statistique et Modélisation (LPSM).
    Talk on the Anderson Hamiltonian on a two-dimensional manifold.
  • Mai 2020 Seminar of the Research Unit : Rough paths, stochastic partial differential equations and related topics, Institut für Mathematik of TU Berlin.
    Talk on paracontrolled calculus and quasilinear singular SPDEs.
  • Nov. 2019 Junior Trimester Program : Randomness, PDEs and Nonlinear Fluctuations, Hausdorff Reseach Institute of Mathematics (HIM).
    3 hours minicourse about high order paracontrolled calculus on manifold for singular SPDEs.
  • Oct. 2019 Workshop SPDE day – recent progress on quasilinear equations, Hausdorff Reseach Institute of Mathematics (HIM).
    Talk on the resolution of quasilinear singular SPDEs.
  • Sep. 2019 Séminaire Landau, Institut de Recherche Mathématiques de Rennes (IRMAR).
    Talk on the resolution of semilinear and quasilinear singular SPDEs.
  • May 2019 Colloque Inter’Actions 2019, Institut de Mathématiques de Bordeaux (IMB).
    Talk on singular SPDEs and the parabolic Anderson model.
  • Dec. 2018 Séminaire Gaussbusters, Institut de Recherche Mathématiques de Rennes (IRMAR).
    Talk on renormalisation in singular SPDEs.

Research stay


Participation to conferences

  • Jun. 2021Stochastic differential geometry and mathematical physics, Institut de Recherche Mathématiques de Rennes (IRMAR).
  • Mar. 2021Pathwise Stochastic Analysis and Applications, Centre International de Rencontres Mathématiques (CIRM), Marseille.
  • Feb. 202114th Annual ERC Berlin-Oxford Young Researchers Meeting on Applied Stochastic Analysis, Oxford Mathematical Institute.
  • Oct. 2020Higher Structures Emerging from Renormalisation, Erwin Schrödinger Institute (ESI), Vienna.
  • Jun. 202013th Annual ERC Berlin-Oxford Young Researchers Meeting on Applied Stochastic Analysis, Weierstrass Institute (WIAS), Berlin.
  • Dec. 2019Workshop Problems of roughness, geometry and random fluctuations, Hausdorff Research Institute for Mathematics (HIM), Bonn.
  • Nov. 2019Workshop Harmonic Analysis and Rough Paths, Hausdorff Research Institute for Mathematics (HIM), Bonn.
  • Oct. 2019Workshop Singular SPDEs and Related Topics, Hausdorff Research Institute for Mathematics (HIM), Bonn.
  • Oct. 2019Workshop SPDE day – recent progress on quasilinear equations, Hausdorff Research Institute for Mathematics (HIM), Bonn.
  • Jul. 2019Paths between Probability, PDEs, and Physics, Imperial College London.
  • May 2019Colloque Inter’Actions 2019, Institut de Mathématiques de Bordeaux (IMB).
  • Apr. 2019Random Partial Differential Equations - ANR Singular, Centre International de Rencontres Mathématiques (CIRM), Marseille.
  • Mar. 2019New Directions in Stochastic Analysis : Rough Paths, SPDEs and Related Topics, Zuse Institute, Berlin.
  • Nov. 2018Rencontres du GDR Renormalisation, Laboratoire de Mathématiques Blaise Pascal (LMBP), Clermont-Ferrand.
  • Sep. 2018Renormalisation in quantum field theory and in stochastic partial differential equations, Isaac Newton Institute (INI), Cambridge.
  • Jun. 20189th Annual ERC Berlin-Oxford Young Researchers Meeting on Applied Stochastic Analysis, Weierstrass Institute (WIAS), Berlin.