Baptiste Cerclé
Web site: Web site: https://www.epfl.ch/labs/rgm/
In brief
I am a post-doctoral researcher, working in the group of Juhan Aru at École Polytechnique Fédérale de Lausanne. Before that I did my PhD thesis under the supervision of Colin Guillarmou and Vincent Vargas at Université Paris-Saclay.My research is mostly focused on the mathematical understanding of a family two-dimensional conformal field theories, called Toda Conformal Field Theories, that generalize Liouville quantum gravity. This is achieved thanks to a wide range of tools ranging from probability theory to representation theory and conformal geometry.
I particularly enjoy interplays between probability theory, mathematical physics and other areas of mathematics, especially when it involves beautiful symmetries. In this perspective two-dimensional conformal field theory provides a rich playground where all these elements are gathered.
Education
Post-doctoral position
with Juhan Aru in the Random Geometry group
École Polytechnique Fédérale de Lausanne
2023-
PhD thesis
under the supervision of Colin Guillarmou and Vincent Vargas
Université Paris-Saclay
2020-2023
Graduate studies
Master's and Bachelor's degrees
ENS de Lyon
2016-2020
Publications
Selected publications
| with Nathan Huguenin arXiv preprint |
Boundary Toda Conformal Field Theory from the path integral |
arXiv preprint |
Higher equations of motion for boundary Liouville Conformal Field Theory from the Ward identities |
Accepted for publication in the Journal of the European Mathematical Society |
Three-point correlation functions in the sl3 Toda theory II: the Fateev-Litvinov formula |
Probability Theory and Related Fields |
Three-point correlation functions in the sl3 Toda theory I: Reflection coefficients |
| with Yichao Huang Communications in Mathematical Physics |
Ward identities in the sl3 Toda conformal field theory |
| with Rémi Rhodes and Vincent Vargas Annales Henri Lebesgue |
Probabilistic construction of Toda conformal field theories |
Journal of Mathematical Physics |
Liouville Conformal Field Theory on even-dimensional spheres |
ESAIM: Probability and Statistics |
Unit boundary length quantum disk: a study of two different perspectives and their equivalence |
Other publications
PhD thesis
Here you can find the manuscript of my PhD thesis entitled "A probabilistic approach to Toda conformal field theories".Research
Some given talks
Conference talks:- Sep 2024: Path integrals and friends, University of Helsinki
- Jun 2024: Probabilistic Field Theories, Aalto University
- Apr 2024: Probability in conformal field theory, Bernoulli Center (EPFL)
- Mar 2024: Workshop aux Avisés, Les Avisés
- Feb 2024: Workshop in Statistical Mechanics 2024, SwissMAP Research Station
- Jan 2024: Conformal field theory 3 ways: integrable, probabilistic, and supersymmetric, SwissMap Research Station
- Sep 2022: Probability and Conformal Field Theory, Agay
- Jun 2022: Workshop on Hyperbolic dynamical systems, geometry and spectral theory, Peyresq
- Feb 2022: Workshop in Statistical Mechanics 2022, SwissMAP Research Station
- Jan 2022: Winter School in Mathematical Physics 2022, SwissMAP Research Station
- Oct 2021: Integrability in Conformal Probability, Online
- Apr 2020: Les Probabilités de demain, Online
Seminar talks:
- Dec 2024: Séminaire d’analyse, Université de Strasbourg
- Nov 2024: Postoc Days, École Polytechnique Fédérale de Lausanne
- Nov 2024: Probability Seminar, University of Chicago
- Nov 2024: Lie Group/Quantum Mathematics Seminar, Rutgers University
- Feb 2024: Seminar on Mathematical Physics, Aalto University
- Jan 2024: PhD students seminar, Institut de Mathématiques de Marseille
- Dec 2023: Seed Seminar of Mathematics and Physics, Online
- Nov 2023: Statistical Mechanics Seminar, University of Warwick
- Dec 2022: PhD students seminar, Institut de Mathématiques d'Orsay
- Nov 2022: Probability team seminar, École Polytechnique Fédérale de Lausanne
- Oct 2022: Random Geometry and Statistical Physics seminar, Online
- Apr 2022: PhD students seminar in Analysis, Institut de Mathématiques d'Orsay
- Mar 2022: Probability team seminar, Institut de Mathématiques de Toulouse
- Oct 2021: PhD students seminar, Laboratoire Jean Leray, Université de Nantes
- Sep 2021: ANH team seminar, Institut de Mathématiques d'Orsay
- Mar 2021: PhD students seminar, Institut Fourier, Université Grenoble Alpes
- Dec 2019: Mathematical Physics Seminar, University of Helsinki