Research

"If you know exactly what you are going to do, what is the point of doing it?"
— Pablo Picasso

Research papers: INSPIRE-HEP | Google scholar | Mathscinet

You can get an idea about my recent research activities from "What's new" blog on the home page, and from the annual IHES activity reports: 2020, 2021, 2022, 2023, 2024.

In 2016-2025 I was Deputy Director of the Simons Collaboration on the Non-perturbative Bootstrap.

In 2025, I became a Principal Investigator of the new Simons Collaboration on the Probabilistic Paths to Quantum Field Theory.

Among research projects I am currently actively pursuing are:

  • Tensor RG search for critical fixed points (with Prof. Tom Kennedy at the University of Arizona, and my PhD student Nikolay Ebel)

  • Puzzles about the \(2+\epsilon\) expansion (with former IHES postdocs Fabiana De Cesare, who now moved to U. Torino)

  • Possible experimental signatures of conformal invariance (with IHES postdoc Alessandro Podo)

  • Tensor RG for 2D nonlinear sigma-model (with IHES postdoc Giovanni Rizi)

  • I am fascinated by the Bros-Epstein-Glaser theorem, which will be the subject of a future master internship of ENS Lyon student Alexandre Fouquet.