I am currently an ATER at Université de Toulouse, since September 2025. My thesis project was conducted under the supervision of Bertrand TOËN and Lukas BRANTNER, at the Institut de Mathématiques de Toulouse. Previously, I obtained my bachelor degree at Wuhan University, and my master degree in Toulouse with a scholarship from CIMI.
I am particularly interested in the interaction between algebraic geometry and homotopy theory. For instance, higher Lie algebroids control infinitesimal deformations of algebro-geometric objects. This topic becomes even more intriguing in positive or mixed characteristic, where one encounters phenomena related to divided powers (or more precisely, their spectral or derived analogues). Foliations provide a dual perspective on this framework and lead to new applications in moduli theory.
Research
A duality between Lie algebroids and infinitesimal foliations. arxiv, HAL (Thesis version)
Partition Lie algebroids and infinitesimal derived foliations are two derived analogues of algebraic foliations in general characteristics. We establish a divided power Koszul duality between them under some finiteness conditions.
$(-1)$-Shifted Darboux theorem of derived schemes in characteristic $p>2$. arxiv
This work is our first step of exploring Donaldson-Thomas theory in characteristic $p>2$
Teaching
- Spring 2024: Ensembles 2 (course and exercises).
- Autumn 2024: Algèbre 1 (exercise sessions).
- Autumn 2025: Algèbre linéaire 2 (course and exercises).
- Autumn 2025: Ensembles 1 (exercise sessions).