- I am a third year PhD student in mathematics at École Normale Supérieure in Paris. My advisers are Rémi Rhodes and Vincent Vargas. Starting from September 2018 I will be a post-doc at Columbia University.
- My CV.

Email address : guillaume.remy_at_ens.fr

- My interests lie at the interface between probability theory, mathematical physics, and geometry. In particular I am currently studying the Liouville quantum field theory. This field theory allows us to understand random geometry in two-dimensions: it has strong links with many canonical two-dimensional random objects such as the Gaussian free field, Gaussian multiplicative chaos, Schramm-Loewner evolutions, and random planar maps. Liouville theory is also a conformal field theory (CFT) which means it is integrable and we can use the framework of CFT developed by Belavin, Polyakov, and Zamolodchikov (1984) to perform many explicit computations.

- The distribution of Gaussian multiplicative chaos on the unit interval (with T. Zhu), arXiv:1804.02942.
- Liouville quantum gravity on the annulus, arXiv:1711.06547.
- The Fyodorov-Bouchaud formula and Liouville conformal field theory, arxiv:1710.06897.

- Near-criticality underlies the behavior of early tumor growth (with P. Cluzel), Phys Biol. 2016 Apr 4; 13(2):026005.

- Jul. 2018. Random Geometry Workshop, Cambridge University.
- Jun. 2018. Random Conformal Geometry and Related Fields, KIAS, Seoul.
- Jun. 2018. Hausdorff School on Log-correlated Fields, Bonn.
- Jun. 2018. Probability seminar, Columbia University.
- Apr. 2018. Probability seminar, EPFL, Lausanne.
- Mar. 2018. Seminar on stochastic processes, ETH Zurich.
- Feb. 2018. Probability seminar, King's college.
- Feb. 2018. Séminaire SCAM, Paris Créteil.
- Feb. 2018. Probability seminar, Cambridge University.
- Feb. 2018. Journées cartes, Université Paris-Sud.
- Feb. 2018. Probability seminar, Université Paris-Sud. (slides)
- Jan. 2018. Mathematical physics seminar, University of Bristol.
- Dec. 2017. Probability and mathematical physics seminar, Courant Institute, NYU.
- Dec. 2017. Workshop on Log-Correlated Random Fields, Columbia University.
- Nov. 2017. Probability seminar, Paris Créteil.
- Nov. 2017. Probability seminar, Paris Diderot.
- Jul. 2016. 46th Probability summer school, Saint-Flour, France. (slides)
- May. 2016. Les probabilités de demain, IHES, Paris. (slides)