I am a third-year PhD student in Mathematics at the University of Michigan, Ann Arbor. Here is my cv.

I obtained B.A. in Mathematics with Honors at the University of Chicago from 2020 to 2024.

Before that, I went to high school in the beautiful city of Maastricht in the Netherlands. I was born and raised in Hefei, China.

Research interests

I am interested in problems that arise in number theory, homotopy theory, and representation theory.

Recently, I have shifted my focus to mathematical biology and machine learning.

Papers

Performed Bach Trio Sonatas Reveal Topological Encoding of Polyphonic Music. In preparation.

Notes and slides

• Number theory
Kolyvagin systems
Lawrence-Venkatesh
Complex multiplication


• Homotopy theory
Cofreeness of Lubin-Tate theory
Power operations and HKR character theory
Notes on real orientations
On realizing rational and polynomial cohomology rings
Elements of complex K-theory


• Miscellaneous
From the topology of natural images to Topological CNNs
The structure theory of complete local rings
Phylogenetic Treespace
Kähler manifolds and Hodge theory

Contact

You can reach me at: yhsheng AT umich DOT edu.