# Baptiste Cerclé

+41 21 693 01 58

EPFL
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SB
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MATH
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RGM

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 HugueninarXiv 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 |

arXiv preprint |
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 HuangCommunications in Mathematical Physics |
Ward identities in the sl3 Toda conformal field theory |

with Rémi Rhodes and Vincent VargasAnnales 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:**

- 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:

Seminar talks:

- 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,***É**cole 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