I am a Ph.D. student in math at Southern University of Science and Technology in Shenzhen, China. My advisor is Yifei Zhu. Here is my CV.

My research interests are in algebraic topology and its connections with other fields. Specifically, I’m interested in chromatic homotopy theory, especially the transchromatic phenomenons and their interpretations in terms of formal groups and p-divisible groups. I also take an interest in elliptic curves and modular forms, since they play crucial roles both conceptually and computationally when the chromatic height is less than or equall to 2.

Besides, I’m interested in the language of infinity categories and higher algebra and applied algebraic topology as well, such as topological data analysis.

A sketch of me :)

Education

• Southern University of Science and Technology, Shenzhen, China
  Ph. D. in Mathematics, September 2021 - Present
  Advisor: Yifei Zhu

• Southern University of Science and Technology, Shenzhen, China
  M.S. in Mathematics, September 2019 - June 2021

• Southern University of Science and Technology, Shenzhen, China
  B.S. in Mathematics, September 2015 - June 2019

Work Experience

Publications

Notes

• Formal_Schemes_and_Formal_Groups.pdf
• Group_Actions_on_K(1)-Local_E_Theory.pdf
• Good_Groups_and_Generalizations.pdf
• Power Operation on K(n-1)-Localized E_n.pdf
• Master Thesis, Computational Methods in Algebraic Topology.pdf

Presentations

1. Jun 17, 2024, Transchromatic Generalized Characters, Graduated topology seminar at SUSTech.
2. Apr 09, 2024, Pipe Rings and Pipe Formal Groups.pdf, Graduated topology seminar at SUSTech.
3. Nov 16, 2023, Modular Interpretations of Hecke Operators, Graduated topology seminar at SUSTech.
4. Oct 17, 2023, Dyer Lashof Theory and Algebras, Graduated topology seminar at SUSTech.
5. Sep 29, 2023, Review of Modular Forms and Introduction to Modular Curves, Graduated topology seminar at SUSTech.
6. Sep 27, 2022, Introduction to Cobordism and Thom Spectra, Graduated topology seminar at SUSTech.
7. Jan 12, 2021, Persistent Homology in Time Series Analysis and its Application to Wheeze Detection, Applied and computational topology seminar at SUSTech.

Teaching

• Grader for M8021 (Algebraic Topology), SUSTech, Spring 2024.
• Teaching Assistant for MA213-16 (Mathematical Analysis), SUSTech, Fall 2023.
• Teaching Assistant for MA113 (Linear Algebra), SUSTech, Fall 2022.
• Grader for MAT8024 (Differential Manifolds), SUSTech, Fall 2021.

A photo of my guitar performance