

Email: qianzicheng@amss.ac.cn
Office: MCM Building(晨兴楼) 208
Research interest: P-adic Langlands program
Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Address: Morningside Center of Mathematics, No.55, Zhongguancun East Road, Beijing, 100190, China
Research Interest: P-adic Langlands program, including p-adic and mod p local-global compatibility, and the theory of (higher) L-invariants.
Papers and preprints
1. On mod p local-global compatibility for GL_n(Q_p) in the ordinary case (with Chol Park), Memories de la S.M.F., 2022, Vol 173.
2. Dilogarithm and Higher L-invariants for GL_3(Q_p), Represent. Theory 25 (2021), 344-411.
3. Moduli of Fontaine-Laffaille modules and a mod p local-global compatibility result, (with Daniel Le, Bao Viet Le Hung, Stefano Morra and Chol Park), Memoires of the A.M.S., Vol 312, No.1584, 2025.
4. A note on mod-p local-global compatibility via Scholze's functor, (with Kegang Liu), Journal of Number Theory, Vol 283 (2026), 230-240.
5. Colength one deformation rings, (with Daniel Le, Bao Viet Le Hung, Stefano Morra and Chol Park), Transactions of the A.M.S. Soc. 377 (2024), 5705-5748.
6. Splitting and making explicit the De Rham complex of the Drinfeld space, (with Christophe Breuil), Lecture Notes in Mathematics, Vol 2397, VII+249 pages.
7. On Ext^bullet between locally analytic generalized Steinberg with applications, 318 pages, arXiv:2512.24279.
8. Higher L-invariants and Drinfeld's symmetric space, in preparation (joint with Benchao Su and Arnaud Vanhaecke)
We compare Breuil-Schraen L invariants (in higher Ext between locally analytic generalized Steinberg, defined in 7 above) and Fontaine-Mazur L invariants inside the pro etale complex of the Drinfeld symmetric space. In particular, we confirm several conjectures/expectations in 7.
9. On a mixed BGG complex in the Steinberg case, in preparation (joint with Yiqin He)
We construct a complex of finite length admissible locally analytic representations which looks like successive extension of BGG complex for different smooth generalized Steinberg.
Education
1. B.S. University of Science and Technology of China, 2010-2014
2. M.S. Sorbonne Université (Jussieu), France, 2013-2015
3. Diplôme de l'ENS, Mathematics, Ecole Normale Supérieure de Paris (Rue d'Ulm), Sélection Internationale, France, 2013-2016
4. Ph.D. Université Paris Saclay (Orsay), France, 2016-2019, Thesis Advisor: Christophe Breuil
Employment
1. Postdoc, University of Toronto, Canada, August 2019-May 2022
2. Associate Professor, Academy of Mathematics and Systems Science, CAS, June 2022-present