Faculty > Professors > GAO Hui


Associate Professor  


  • Brief Biography
  • Research
  • Teaching
  • Published Works

Professional Appointments

2022.6--            Associate professor, SUSTech

2024.2--2024.5  Visiting Associate Professor, Stanford University

2023.9--2023.12 Infosys Member, Institute for Advanced Study (Princeton)

2019.9--2022.5.  Assistant professor, SUSTech

2016.9--2019.8.  Postdoc fellow at University of Helsinki  
2013.7--2016.6.  Postdoc fellow at BICMR, Peking University 

2007.9--2013.5. PhD of Mathematics, Purdue University 

2003.9--2007.6. BS of Mathematics, Nankai University

Research interests:
Number theory and arithmetic geometry. 

In particular: p-adic Hodge theory and p-adic Langlands program. 

See our Number Theory Seminar in SUSTech.

Selected Publications

For full publication, see MathSciNet: author profile page

arXiv: author identifier: gao_h_2

Breuil-Kisin modules and integral p-adic Hodge theory (with two appendices), J. Eur. Math. Soc (2023)
(with Léo Poyeton,) Locally analytic vectors and overconvergent (phi, tau)-modules J. Inst. Math. Jussieu (2021)
(with Tong Liu,) Loose crystalline lifts and overconvergence of étale (phi, tau)-modules Amer. J. Math.  (2020) 
Crystalline liftings and weight part of Serre's conjecture Israel J. Math.  (2017) 
Galois lattices and strongly divisible lattices in the unipotent case J. Reine Angew. Math.  (2017)
(with Tong Liu,) A note on potential diagonalizability of crystalline representations Math. Annalen, (2014)

Research Interests

I work on algebraic number theory and arithmetic geometry. In particular, I study p-adic Hodge theory and p-adic Langlands program.


 •  NSFC (National Natural Science Foundation of China), Excellent Young Scientists Fund (overseas), 2022--   PI.

 •  NSFC, General Grant, p-adic Hodge Theory and its applications. 2021.1--2024.12, PI

 •  China Postdoctoral Science Foundation, Postdoctoral Fellow Project, p-adic Langlands program and p-adic Hodge theory. 2014.4--2016.6, PI

Co-organized Events

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

In SUSTech (2019-- ), course that I have taught include: Linear Algebra, Abstract Algebra I, Abstract Algebra II, Commutative Algebra, and others.

In Univ. of Helsinki (2016-19), I have taught: Elementary algebraic number theory, Introduction to elliptic curves and modular forms, Topics in algebra

In Purdue Univ (2007-13), I have taught: Algebra and Trigonometry I (lecturer), Plane Analytic Geometry and Calculus I (recitation)