Research Areas

Number Theory, Representation Theory

Research topic: p-adic Hodge theory via Fargues-Fontaine Curve and Breuil-Kisin-Fargues modules,(φ, Γ)-

modules, p-adic Langlands program and eigenvarieties

Education

Postdoctoral Fellow

Yau Mathematical Sciences Center, Tsinghua University, Beijing, China

Mentor: Hansheng Diao

Ph.D. in Mathematics

Purdue University, West Lafayette, IN

Advisor: Tong Liu

MPhil. in Mathematics

Chinese University of Hong Kong, Hong Kong

Supervisor: Jiu-Kang Yu

Thesis: Deformation of Galois representations

Bachelor of Science, Mathematics

Fudan University, Shanghai, China

Publications

1. A new method for overconvergence of (φ, Γ)-modules. (with Tong Liu, preprint). 2022.

2. Arithmetic Breuil-Kisin-Fargues modules and comparison of integral p-adic Hodge theories. (updated my 2019 paper on the same topic, submitted). 2022.

3. Completed prismatic F-crystals and crystalline Zp-local systems. (with Tong Liu, Yong Suk Moon, and Koji Shimizu, submitted). 2022.

4. A prismatic approach to (φ, Ĝ)-modules and F-crystals. (with Tong Liu, submitted). 2021.

5. A_inf has uncountable Krull dimension. (submitted). 2020

Others

RESEARCH NOTES

(2020). Non-decompleting of Kummer towers

RESEARCH EXPERIENCE

Arizona Winter School Project Research

On ´Etale Morphisms for Adic Spaces

Project Leader: Kiran S. Kedlaya, University of California San Diego

Undergraduate Research, Fudan University, Shanghai

Hyperbolic Tessellation: The nth-Punctured Sphere Glued by Two Congruent Ideal-gon

Research Advisor: Zhi Lv, Fudan University

SELECTED PRESENTATIONS

• The arithmetic Breuil-Kisin-Fargues modules and the monodromy theorem for p-adic Galois representations

, Feb 2021, Purdue

University

• On arithmetic Breuil-Kisin-Fargues modules and their moduli, Dec 2020, Purdue University

• On arithmetic Breuil-Kisin-Fargues modules and their moduli, Dec 2020, Southern University of

Science and Technology

• Ainf has uncountable Krull dimension. Feb 2020, Purdue University

• A global depth preserving theorem for Langlands correspondence for tori and eigenvarieties, 2017,

Shanghai Jiao Tong University

TEACHING EXPERIENCE

• Tutor for Qiuzhen College (Qiuzhen College postdoctoral scholor teaching award) Fall 2021,Tsinghua

• Instructor for MA158: Functions, Trigonometry, and Algebra Fall 2019, Purdue University

• Recitation instructor for MA261: Linear algebra and differential equations Fall 2017, Purdue

• Recitation instructor for MA261: Calculus III Fall 2016, Purdue University

• Recitation instructor for MA161: Calculus I Fall 2015, Purdue University

PROFESSIONAL SERVICES

• Organizer, Seminar on isocrystals with G-structures Spring 2020, Purdue University

• Organizer, Seminar on Fargues-Fontaine Curve Fall 2018, Purdue University

• Organizer, Geometric class field theory student seminar Fall 2017, Purdue University

• Co-Organizer, Crystalline cohomology student seminar (with F. Hao & A. Figuerola) Spring & Fall

2017, Purdue University

• Organizer, Finite flat group scheme and p-divisible group student seminar Spring 2016, Purdue

University

CONFERENCES ATTENDED

• Winter School on Shimura Varieties and Related Topics, Nov 29-Dec 3, 2019, Shanghai, China

• Serre conjectures and the p-adic Langlands program, May 27 - June 14, 2019, Padua, Italy

• Pop-up Conference in Number Theory Nov 2 - 4, 2018, University of Illinois at Chicago, IL

• Groupes alg´ebriques et g´eom´etrisation du programme de Langlands May 25 - June 23, 2018, l’ENS de

Lyon, France

• Winter School on Iwasawa Theory March 3 - 7, University of Arizona in Tucson, AZ

• Automorphic Forms and The Langlands Program July 24 - Aug. 4, 2017, MSRI, Berkeley, CA

• p-adic Hodge Theory and Automorphic Forms June 5 - 9, 2017, BICMR, Beijing

• Winter School on Perfectoid Spaces March 11 - 15, 2017, University of Arizona in Tucson, AZ

• The 7th International Congress of Chinese Mathematicians (ICCM) Aug. 6 - 11, 2016, Beijing

• Workshop on the p-adic Langlands Correspondence July 13 - 20, 2016, AMSS, Beijing

• The p-adic Langlands Program and Related Topics May 16-20, 2016, Indiana University

• Workshop on the Patched Eigenvariety July 26 - 31, 2015, AMSS, Beijing

• Conference on Arithmetic Geometry in honor of Katz’s 71st birthday May 11 - 15, 2015, AMSS,

Beijing

VOLUNTEER EXPERIENCE

• Campus Ambassador of TFC (Teach For China) at Fudan University.

TFC aims at helping solve education inequity in China.

http://teachforall.org/en/national-organization/teach-china