Members

Daxin Xu(许大昕)

Email:daxin.xu@amss.ac.cn

Office:MCM Building(晨兴楼) 509,Morningside Center of Mathematics, No.55, Zhongguancun East Road, Beijing, 100190, China

Research interest:

I am a faculty member at Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences.

I defended my doctoral thesis at l'Universite Paris-Saclay in 2017 under the supervision of Ahmed Abbes. Previously, I was a Harry Bateman Instructor at Caltech.

Vitae
(Pre)publications
Teaching
中文版

Publication and preprints:

My articles can be found onarXiv

p-adic non-abelian Hodge theory for curves via moduli stacks.joint withBen Heuer, (2025) accepted by Journal of the American Mathematical Society.

Irregular Hodge filtration of hypergeometric differential equations. joint with Yichen Qin, (2025) accepted by Algebra and Number theory.

Drinfeld's lemma for F-isocrystals, II: Tannakian approach. Joint with Kiran S. Kedlaya, Compositio Mathematica 160(1) (2024), 90-119.

Hypergeometric sheaves for classical groups via geometric Langlands. Joint with Masoud Kamgarpour, Lingfei Yi, Transactions of the American Mathematical Society 376 (2023), 3585-3640.

Parallel transport for Higgs bundles over p-adic curves. with an appendix joint with Tongmu He, preprint.

Bessel F-isocrystals for reductive groups. Joint with Xinwen Zhu, Inventiones mathematicae 227, 997-1092 (2022).

On higher direct images of convergent isocrystals . Compositio Mathematica, 155(11) (2019), 2180-2213.

Lifting the Cartier transform of Ogus-Vologodsky modulo p^n., Memoires de la Societe Mathematique de France No. 163 (2019), vi+133 pages.

Parallel transport and the p-adic Simpson correspondence,Forum of Mathematics, Sigma, Vol. 5 (2017), e13, 127 pages.

研究方向

算术几何，p进Hodge理论

教育经历：

2014–2017 巴黎-萨克雷大学，法国高等科学研究所

数学博士，导师：Ahmed Abbes

2011–2014 巴黎高等师范学院，巴黎第七大学

数学硕士，导师：Ahmed Abbes

2008–2013 北京大学，数学学士

工作经历：

2017–2020 美国加州理工学院 Harry Bateman 数学讲师

2020–至今中国科学院数学与系统科学研究院晨兴数学中心副研究员

2023 年秋季美国普林斯顿高等研究院访问学者

文章与预印本：

[1] Parallel transport and the p-adic Simpson correspondence, Forum of Mathematics, Sigma,

5 (2017), e13, 127 pages.

[2] Lifting the Cartier transform of Ogus–Vologodsky modulo p n , Mémoires de la Société

Mathématique de France, No. 163 (2019), vi+133 pages.

[3] On higher direct images of convergent isocrystals, Compositio Mathematica, 155(11) (2019),

2180–2213.

[4] 与 Xinwen Zhu 合著，Bessel F-isocrystals for reductive groups, Inventiones mathematicae,

227 (2022), 997–1092.

[5] 与 Masoud Kamgarpour、Lingfei Yi 合著，Hypergeometric sheaves for classical groups,

Transactions of the American Mathematical Society, 376 (2023), no. 5, 3585–3640.