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 mathjobs.org).
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

2024.12 Arithmetic Geometry in Shenzhen , SUSTech
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 Yu Min ,Yupeng Wang) Prismatic crystals and p-adic Riemann--Hilbert correspondence	preprint coming soon
(with Tong Liu) Integral Sen theory and integral Hodge filtration	preprint	arxiv page 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
On p-adic Simpson and Riemann-Hilbert correspondences in the imperfect residue field case	to appear, Transactions AMS	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