During Sep-Dec. 2023, I am visiting IAS for the special year on p-adic Arithmetic Geometry.

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).

Feel free to contact me if you work in related areas.

In particular: 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

2022.6-- (tenure-track) associate professor, SUSTech

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)

2003.9--2007.6. BS of Mathematics, Nankai University (advisor: Lei Fu)

Publications and Preprints

MathSciNet: author profile page

ORCID: 0000-0001-9731-592X

arXiv: author identifier: gao_h_2

(with Yu Min
,Yupeng Wang) de Rham crystals on the prismatic site of O_K |
preprint | arxiv, 2022 arxiv PDF |

Hodge-Tate prismatic crystals and Sen theory | preprint | arxiv, 2022 arxiv PDF |

On p-adic Simpson and Riemann-Hilbert correspondences in the imperfect residue field case | preprint | 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) |
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 |

Co-organized events

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

Seminar/Conference talks, participation

**useful stuff