Hui GAO (高辉)

I am an associate professor in SUSTech (in Shenzhen, China).
I am also affiliated with SUSTech International Center for Mathematics
Currently we have Yong Hu and Yannan Qiu in the number theory group.
See our Number Theory seminar.

The department constantly have postdoc positions available (on
It has competitive salary, minimal (and negotiable) teaching duty (mostly HW grading), and flexible starting dates.
Feel free to contact me if you work in related areas.

Research interests: Number theory and arithmetic geometry.
In particular: p-adic Hodge theory and p-adic Langlands program.

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

Contact: Department of Mathematics,
Southern University of Science and Technology,
Nanshan, Shenzhen, 518055, Guangdong, China.

Brief CV
2022.6-- (tenure-track) 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. (tenure-track) assistant professor, SUSTech
2016.9--2019.8. Postdoc fellow at University of Helsinki (mentor: Kari Vilonen)
2013.7--2016.6. Postdoc fellow at BICMR, Peking University (mentor: Ruochuan Liu)
2007.9--2013.5. PhD of Mathematics, Purdue University (advisor: Tong Liu) // some pics in 2008
2003.9--2007.6. BS of Mathematics, Nankai University (advisor: Lei Fu)

Co-organized events

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

Publications and Preprints
MathSciNet: author profile page
ORCID: 0000-0001-9731-592X
arXiv: author identifier: gao_h_2

(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
On p-adic Simpson and Riemann-Hilbert correspondences in the imperfect residue field case preprint arxiv:2108.07029
arxiv PDF
Integral p-adic Hodge theory in the imperfect residue field case preprint arxiv:2007.06879
arxiv PDF
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
(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)
Wach models and overconvergence of étale (\phi, \Gamma)-modules J. Number Theory 205 (2019), 277–299. arxiv: 1906.09117
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)
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)

Seminar/Conference talks, participation (not regularly updated)

**useful stuff