I'm a PhD stuent in SUSTech, China. My advisor is Professor Yifei Zhu. My reseach interests are algebraic topology, algebraic geometry, number theory and theoritical physics. You can find my CV and Research Statement here. Currently, I focus on following problems.

• Derive algebraic geometry methods in algebriac topology and number theory, especially derived moduli sapces, dervied-rings.

• Derived rings and p-adic cohomology theories, like topological Hochschild homology, prismatic cohomology.

• Stolz-Teichner program, which gives an relation between quantum field theories and generalized cohomology theories.

• The relation between spectral algebraic geometry and absolute algebraic geometry.

Email: xuecai.u.ma@foxmail.com

 

 

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Research Papers

1. Derived Level Structures

   2023-2024. PDF

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Notes and Slides

1. Derived Level Structures

   SUSTech Graduate Topology Seminar, 2023

2. Formal Moduli Problems

   SUSTech Graduate Topology Seminar, 2022. PDF

3. An Overview of Chromatic Homotopy Theory

   SUSTech Graduate Topology Seminar, 2022. PDF

4. Methods of Spectral Algebraic Geometry in Chromatic Homotopy Theory

   SUSTech Graduate Topology Seminar, 2022. PDF