Hui GAO (高辉)

I am an associate professor in SUSTech (in Shenzhen, China).
I am also affiliated with SUSTech International Center for Mathematics
Here is my CV page (with group members; seminar talks etc.)

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

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.

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The department constantly have postdoc positions (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.

With many NT colleagues in the Greater Bay Area,
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!
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Some co-organized events (full list in CV page)

(NEW!) 2025.11 Arithmetic Geometry in Shenzhen II (2025)

2024.12 Arithmetic Geometry in Shenzhen

2024.1 p-adic Arithmetic and Geometry

2023.3 Shenzhen Workshop on Arithmetic Geometry

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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
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)
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)