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高辉

副教授  

http://faculty.sustech.edu.cn/gaoh/

  • 简历
  • 科研
  • 教学
  • 发表论著

工作经历

2022.6--             南方科技大学,数学系,副教授

2024.2--2024.5  Visiting Associate Professor, Stanford University

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

2019.9--2022.5.  南方科技大学,数学系,助理教授

2016.9--2019.8.  赫尔辛基大学,数学系,博士后 

2013.7--2016.6.  北京大学国际数学研究中心,博士后 

教育背景
2007.9--2013.5. 普渡大学,数学博士  

2003.9--2007.6. 南开大学,数学学士 


研究领域:
数论与算术几何。

特别的:p进Hodge理论以及p进Langlands纲领。

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.


Grants

 国家自然科学基金优秀青年科学基金项目(海外)。2022--,主持

•  国家自然科学基金面上项目,p进霍奇理论及其应用。2021.01--2024.12,主持

  中国博士后科学基金,博士后面上项目,p进朗兰兹纲领和p进霍奇理论。2014.4--2016.6,主持


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)


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