# Hui GAO (高辉)

I am an assistant professor in SUSTech (in Shenzhen, China).
Currently we have Yong Hu and Yannan Qiu in the number theory group.
See our Algebra seminar (we should have a separate NT seminar series soon).

Research interests: Algebraic number theory.

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

Contact: Department of Mathematics, Huiyuan Building 3,
Southern University of Science and Technology,
Nanshan, Shenzhen, 518055 , Guangdong, China.

Brief CV
2019.9-- (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)
2003.9--2007.6. BS of Mathematics, Nankai University

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

 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) to appear, J. Eur. Math. Soc. 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) Wach models and overconvergence of étale (\phi, \Gamma)-modules J. Number Theory 205 (2019), 277–299. arxiv: 1906.09117arxiv 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) (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) 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) 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) 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) (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

Seminar/Conference organization, talks, participation

Recent Teaching:
In SUSTech
Sp 2021, Linear Algebra A (undergrad)
Fa 2020, Algebra (master)