** Open for registration,
Arithmetic Geometry in Shenzhen ** (Dec. 16--20, 2024).

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).

It has competitive salary, minimal (and negotiable) teaching duty (mostly HW grading), and flexible starting dates.

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 // sunset pics from office

2024.2--2024.5. Visiting Associate Professor, Stanford University

2023.9--2023.12. Infosys Member, Institute for Advanced Study

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) // some pics in 2008

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

Co-organized events

2024.12

2024.6 p-adic Geometry and Analysis , SUSTech

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

Publications and Preprints

MathSciNet: author profile page

ORCID: 0000-0001-9731-592X

arXiv: author identifier: gao_h_2

(with Tong Liu) Integral Sen theory and integral Hodge filtration |
preprint coming soon | |

(with Luming Zhao) Cohomology of (\phi, \tau)-modules |
preprint | arxiv:2402.02492 arxiv PDF |

(with Yu Min
,Yupeng Wang) Prismatic crystals over the de Rham period sheaf |
preprint | arxiv:2206.10276 arxiv PDF |

(with Yu Min
,Yupeng Wang) Hodge-Tate prismatic crystals and Sen theory |
preprint | arxiv:2311.07024 arxiv PDF |

On p-adic Simpson and Riemann-Hilbert correspondences in the imperfect residue field case | to appear, Transactions AMS | 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) |
J. Eur. Math. Soc. (JEMS)25(2023), no.10, 3979–4032 | 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) |

(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) |

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

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) |

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) |

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) |

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) |

(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 |

Some other documents

Hodge-Tate prismatic crystals and Sen theory | All subsumed in arxiv:2311.07024, please read this! | arxiv:2201.10136 (outdated) |

**useful stuff