Qianyi Cao

Qianyi Cao Chyen-Ee Tsao

I am currently an MA student at the University of Wisconsin–Madison in the VISP program. I graduated from East China Normal University with a Bachelor's degree, majoring Mathematics.

I spend 3 year in ECNU; 1 year visiting and one year for master's degree in Wisc.

I am applying for PhD programs for Fall 2026, with an interest in Geometric Representation theory, Symplectic Geometry Non-commutative Geometry and Representation theory.

Photo credit: Zihui

Application Materials

Here is my CV.
My Statement of Purpose.
A list of Courses And Seminars I took, with grades and course outline.

Projects

My thesis on Riemann-Hilbert Correspondence, advised by Dima Arinkin, Guodong Zhou.
My directed reading on K-theory, advised by Bo Liu and Hang Wang.
The Algebraic geometry seminar I organized in Madison, advised by Dima Arinkin, Andrei Caldararu, Joshua Mundinger.
Reading on Intersection homology and Perverse Sheaves, advised by Laurentiu Maxim.
Student seminar on Perverse sheaves, organized by Lizi Guo and me.

About Me

My favorite theorem is Serre-Swan theorem, this lecture by Nanhua Xi has greatly influenced my interest.

I am also interested in Model theory, as well as other parts of logic which have a connection with algebraic geometry.
I enjoy chamber music, movies and reading philosophy, I hope to learn cello so that I can paly cello suits of Bach.
I like the character Wall-nut in Plants vs. Zombies game. Its image—immobile, with senses and perceptions enclosed within a heavy shell, forward-gazing eyes, and a serene smile—serves as a perfect metaphor for the state of my inner life.

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