Members

Siqi He(何思奇)

Email:sqhe@amss.ac.cn

Office:MCM Building(晨兴楼) 508

Research interest:

Gauge theory and differential geometry

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

My research focus on gauge theory and differential geometry, in particular, the Kapustin-Witten equations, Higgs bundles, special Lagrangian submanifolds and manifolds with special holonomy.

Vitae
(Pre)publications
Teaching
中文版

Education

1. B.S. Peking University, 2009-2013

2. Ph.D. California Institute of Technology, 2013-2018, Thesis Advisor: Yi Ni, Ciprian Manolescu

Employment

1. Research Assistant Professor, Simons Center for Geometry and Physics, Stony Brook University, September 2018-Feb 2022

2. Associate Research, Academy of Mathematics and Systems Science, Chinese Academy of Science, March 2022-Present

Please click here to see more information.

Papers and preprints

1. Rotationally Invariant Singular Solutions to the Kapustin-Witten Equations,Math Research Letters, Vol.25, no.4.

2. A Gluing Theorem for the Kapustin-Witten Equations with a Nahm Pole, Journal of Topology, Volume.12, Issue.3, 2019.

3. (with Rafe Mazzeo)The Extended Bogomolny Equations and Generalized Nahm Pole Solutions, Geometry&Topology, Volume 23, Number 5 2019.

4. (with Rafe Mazzeo)The Extended Bogomolny Equations and Generalized Nahm Pole Solutions II, Duke Math Journal, 169 (2020), no. 12, 2281–2335.

5. The Expansions of the Nahm Pole Solutions to the Kapustin-Witten Equations, submitted, arXiv:1808.03886.

6. (with Thomas Walpuski)Hecke modifications of Higgs bundles and the extended Bogomolny equation, J. Geom. Phys. 146 (2019), 103487, 17 pp.

7. (with Rafe Mazzeo)Classification of Nahm pole solutions of the Kapustin-Witten equations on S1\times\Sigma\times R^+, to appear in Transactions of the American Mathematical Society.

8. (with Rafe Mazzeo)Opers and the twisted Bogomolny equations, to appear in Annales scientifiques de l'École normale supérieure

9. The behavior of sequences of solutions to the Hitchin-Simpson equations, arXiv:2002.08109.

10. On the Moduli Space of the Octonionic Nahm’s Equations, arXiv:2006.11625.

11. (with Yue Wang)Inference on autoregulation in gene expression, arXiv:2201.03164.

12. The Branched Deformation of the Speical Lagrangian Submanifolds, arXiv:2202.12282.

13. Existence of nondegenerate Z2 harmonic 1-forms via Z3 symmetry, arXiv:2202.12283.

研究方向

低维拓扑与微分几何

非紧规范群的规范理论，特别是Kapustin–Witten 方程、Vafa–Witten 方程以及带多重旋量的Seiberg–Witten 方程

Z/2 调和旋量及其相关几何问题

Higgs 丛与Hitchin 模空间的几何

教育经历

博士：数学，加州理工学院，2018 年6 月

导师： Ciprian Manolescu，倪忆

学士：数学，北京大学，2013 年6 月

工作经历

助理研究教授：石溪大学Simons Center for Geometry and Physics，2018 年9 月–2022 年2 月

博士后合作导师： Simon Donaldson

副教授：中国科学院晨兴数学中心，2022 年3 月至今