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).

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

(university email) gaoh AT sustech DOT edu DOT cn

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: 1906.09117 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) |

(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)

Sp 2020, Abstract Algebra (undergrad)

Fa 2019, Algebra (master)

Fa2018, Univ. of Helsinki, Topics in Algebra

Sp2018, Univ. of Helsinki, Introduction to elliptic curves and modular forms

Sp2017, Univ. of Helsinki, Elementary algebraic number theory

**useful stuff