I am an associate professor in SUSTech (in Shenzhen, China).
I am also affiliated with SUSTech International Center for Mathematics

Email: (permanent email) mathnature AT gmail DOT com
(university email) gaoh AT sustech DOT edu DOT cn

Brief CV:
2022.6-- now     Associate Professor, SUSTech // sunset pics from office
2024.2--2024.5. Visiting Associate Professor, Stanford University
2023.9--2023.12. Infosys Member, Institute for Advanced Study
2019.9--2022.6. Assistant Professor, SUSTech
2016.9--2019.8. Postdoc, University of Helsinki (mentor: Kari Vilonen)
2013.7--2016.6. Postdoc, BICMR at Peking University (mentor: Ruochuan Liu)
2007.9--2013.5. PhD, Purdue University (advisor: Tong Liu) // some pics in 2008
2003.9--2007.6. Bachelor, Nankai University (advisor: Lei Fu)
---------------------------------------------------------------

Publications and Preprints
MathSciNet: author profile page
arXiv: author identifier: gao_h_2

(with Yu Min, Yupeng Wang)
Prismatic crystals and p-adic Riemann--Hilbert correspondence 		preprint arxiv 2024 Nov
arxiv PDF
(with Tong Liu)
Integral Sen theory and integral Hodge filtration 		preprint arxiv 2024 Nov
arxiv PDF
(with Luming Zhao)
Cohomology of (\phi, \tau)-modules 		preprint arxiv:2402.02492
arxiv PDF
(with Yu Min, Yupeng Wang)
Prismatic crystals over the de Rham period sheaf		 preprint arxiv:2206.10276
arxiv PDF
(with Yu Min, Yupeng Wang)
Hodge-Tate prismatic crystals and Sen theory 		preprint arxiv:2311.07024
arxiv PDF
Integral p-adic Hodge theory in the imperfect residue field case preprint arxiv:2007.06879
arxiv PDF
On p-adic Simpson and Riemann-Hilbert correspondences in the imperfect residue field case Trans. Amer. Math. Soc. 378 (2025), no. 1, 279–315 arxiv:2021 Aug
arxiv PDF (final)
Breuil-Kisin modules and integral p-adic Hodge theory
(with app. A by Yoshiyasu Ozeki, and joint app. B with Tong Liu)		 J. Eur. Math. Soc. (JEMS)25(2023), no.10, 3979–4032 arXiv:1905.08555
arxiv PDF (final)
(with Léo Poyeton)
Locally analytic vectors and overconvergent (\phi, \tau)-modules		 J. Inst. Math. Jussieu 20 (2021), no. 1, 137–185 arXiv:1804.08106
arxiv PDF (final)
(with Tong Liu )
Loose crystalline lifts and overconvergence of étale (\phi, \tau)-modules		 Amer. J. Math. 142 (2020), no. 6, 1733–1770 arXiv:1606.07216
arxiv PDF (final)
Fontaine-Laffaille modules and strongly divisible modules Ann. Math. Qué. 43 (2019), no. 1, 145–159. arxiv:1905.08018
arxiv PDF (final)
Wach models and overconvergence of étale (\phi, \Gamma)-modules J. Number Theory 205 (2019), 277–299. arxiv: 1906.09117
arxiv PDF (final)
Limit of torsion semi-stable Galois representations with unbounded weights Proc. Amer. Math. Soc. 146 (2018), no. 8, 3275–3283 arxiv:1905.08020
arxiv PDF (final)
A note on crystalline liftings in the Q_p case Bull. Soc. Math. France 146 (2018), no. 1, 141–153. arXiv:1505.00125
arxiv PDF (final)
Crystalline liftings and weight part of Serre's conjecture Israel J. Math. 221 (2017), no. 1, 117–164 arXiv:1504.01233
arxiv PDF (final)
Galois lattices and strongly divisible lattices in the unipotent case J. Reine Angew. Math. (Crelle's Journal) 728 (2017), 263–299. arXiv:1305.2664
arxiv PDF (final)
A note on torsion Breuil modules in the case er=p-1 J. Number Theory 165 (2016), 290–303. arXiv:1410.3953
arxiv PDF (final)
(with Claus Sorensen)
Locally algebraic vectors in the Breuil-Herzig ordinary part		 Manuscripta Math. 151 (2016), no. 1-2, 113–131. PDF (final)
(with Tong Liu)
A note on potential diagonalizability of crystalline representations		 Mathematische Annalen, 2014, Vol. 360, pp 481-487. arXiv:1204.4704
arxiv PDF (final)

Some work in progress
Adapted bases of Kisin modules and Serre weights in revision (the current arXiv version contains gaps) arXiv:1505.02664

Some other documents
Hodge-Tate prismatic crystals and Sen theory All subsumed in arxiv:2311.07024, please read this! arxiv:2201.10136 (outdated)

The webpage is designed by deepseek.


Number Theory Faculties
Currently in the number theory faculties (in a slight broad interpretation), we have
Stavros Garoufalidis, Yong Hu, Yannan Qiu, Yifei Zhu, and (visiting) Don Zagier,
together with many other colleagues in algebra/representation/algebraic geometry etc.
See our Number Theory seminar.

Postdoc positions: the department is constantly hiring (on mathjobs.org).
More postdoc info: click to expand It has competitive salary (usually circa 400K RMB pre-tax; top candidates: >500K RMB),
with minimal (and negotiable) teaching duty (mostly HW grading), and flexible starting dates.
Feel free to contact me if you work in related areas.

---------------------------------------------------------------

Greater Bay Area
With many NT colleagues in the region,
we are currently (informally) planning a collaborative NT network.
Here is some incomplete list of neighbors:
CUHK-ANT    CUHK-SZ    GBU    HKU-ANT     HKUST-seminar     SYSU-GAGP     SYSU-ZH     SZU-ANT
Welcome to join us in this effort!
---------------------------------------------------------------

Group Members
Shenrong Wang (postdoc, 2025--2027) (PhD 2025, JHU)
Keiho Matsumoto (postdoc, 2024--2025) (PhD 2023, U Tokyo)
Yimeng Tang (PhD, 2023--2027)
Yuetong Li (Master, 2024--2026)
Yashu Chen (Master, 2021--2023)
Tiefu Zhang (Master, 2021--2023)
---------------------------------------------

** book for undergrad/master
Co-organized events

(NEW!) 2025.11 Arithmetic Geometry in Shenzhen II
2024.12 Arithmetic Geometry in Shenzhen
2024.6 p-adic Geometry and Analysis , SUSTech
2024.1 p-adic Arithmetic and Geometry, SUSTech
2023.8 Mini-Workshop on Topology and Arithmetic, SUSTech
2023.3 Shenzhen Workshop on Arithmetic Geometry, SUSTech
2022.12 Arithmetic and Topology, SUSTech
2021.4 Workshop on Local Models for Galois Deformation Rings, BICMR
2013.8 Workshop on moduli of p-divisible groups, BICMR


Recent research talks (conferences/seminars)

click for details
2024.11 p-adic methods in number theory and arithmetic geometry (Kunming)
2024.10 University of Tokyo (Number Theory seminar)
2024.6 Conference on p-adic Geometry and Related Topics (Peking U.)
2024.6 HKU Number Theory Days 2024 (HongKong U.)
2024.4 UC-Irvine
2024.4 UC-Santa Barbara
2023.11 Rutgers University (at Newark)
2023.11 Penn State University
2023.10 Purdue University
2023.5 One-Day Workshop on Non-abelian $p$-adic Hodge Theory, PKU
2023.5 Number Theory, Dynamical Systems and Related Topics (MCM)
2023.5 University of Melbourne (Number Theory Seminar)
2023.4 University of Melbourne (Pure Math Seminar)
2022.8 The 9th International Congress of Chinese Mathematicians(ICCM2022)
2022.4 MCM
2021.11 HKU
2021.7 Theta correspondence 与算术应用, Suzhou Univ.
2021.6 金坛数论学术会议(第八届全国数论会议)
2021.2 Conference on Arithmetic Geometry Nanking
2019.7 MCM, Beijing
2018.12 USTC, Hefei
2018.12 Nanjing University
2018.12 Capital Normal University, Beijing
2018.10 Universität Heidelberg
2018.10 Universität Duisburg-Essen
2018.10 Number Theory lunch seminar, Max Planck Institute for Mathematics
2018.7 SUSTech Young Mathematicians Academic Forum, Shenzhen
2018.7 2018 2018 Young Mathematician Forum, PKU
2017.12 Shanghai Center for Mathematical Sciences, Shanghai 2017.10 University of Turku
2017.5 Central China Normal Univ, Wuhan
2017.5 Shanghai Center for Mathematical Sciences, Shanghai
2017.3 Séminaire Mathjeunes (Paris)
2016.11 University of Copenhagen
2016.11 University of Helsinki
2016.8 The 6th East Asia Number Theory Conference, Chern Institute of Mathematics
2016.4 Minicourse on Kisin modules, East China Normal University, Shanghai
2015.6 Frontiers in Serre's Modularity Conjecture, Université du Luxembourg
2015.3 Shanghai Center for Mathematical Sciences, Shanghai
2014.12 Purdue University
2014.11 Capital Normal University, Beijing
2014.10 China-Korea Joint Seminar on Number Theory, Sanya
2014.6 East China Normal University, Shanghai
2014.6 University of Science and Technology of China, Hefei
2012.10 Midwest Number Theory Conference, UIUC
2012.4 Second Annual Upstate Number Theory Conference, University of Rochester
2012.04 Automorphic Forms Seminar, Purdue University