I am currently a second year PhD student at ENS Paris under the supervision of Vincent Vargas. There are two main axes in my research work: Gaussian multiplicative chaos (GMC) and Liouville quantum gravity (LQG). GMC is a random measure with density given by exponential of a log-correlated Gaussian field. It has applications in random matrices, random geometry, statistical physics, finance etc. On the other hand, LQG is a physics theory which lies at the interface of quantum field theory and conformal field theory. My goal is to prove rigorously some conjectures in LQG and deduce as a consequence exact results on GMC.

- The distribution of Gaussian multiplicative chaos on the unit interval (with Guillaume Remy), arXiv:1804.02942, to appear in Annals of Probability.

I am in charge of the course "Mathématiques et statistiques pour économistes" for the statistics part at ENS Paris.

- Jun 2019 - Probability and quantum field theory: discrete models, CFT, SLE and constructive aspects, IGESA, Porquerolles, France.
- Jul 2018 - Random geometry follow up, University of Cambridge, UK. (Slides)
- Jun 2018 - Hausdorff school on log-correlated fields, HCM, Bonn, Germany.
- Oct 2017 - Scaling limits of random planar maps and Liouville quantum gravity, MFO, Oberwolfach, Germany.
- Jan 2017 - L'ecole d'hiver combinatoire et interaction, CIRM, Marseilles, France.
- Oct 2016 - 2nd French Russian conference ‘Random geometry and physics’, IHP, Paris, France.

- Email : tunan.zhu_"shift+2"_ens.fr
- Bureau : V6 / Passage Vert, rez-de-chaussée, escalier B
- Equipe : Probabilités et statistiques
- Etablissement de rattachement : ENS