About

I'm Linrong Cai/ Chris Cai, a third year Math and CS undergraduate at University of Wisconsin Madison. My research interest is Machine Learning, and I am doing research study under Professor Frederic Sala. I have a strong interest in math, and have finished courses related to Analysis, Probability, Combinatorics, Abstract Algebra at UW-Madison. Among them, my favorite topic is Analysis and Probability Theory.

Experience

Machine Learning Research Assistant with Professor Frederic Sala

Currently working on topics related to Diffusion Model.

June 2022 - present

Madison Experimental Mathematics Lab (MXM)

We researched on given two random elements of SL2(Z), what is the probability that they generate a free group. Advised by Professor Caglar Uyanik

2022 Spring

Grader for Math 435 Cryptography

Working as a grader for Professor Eric Bach, require Cryptography, Linear Algebra, Elementary Set Theory knowledge for grading.

2022 Fall

Grader for Math 475 Combinatorics

Working as a grader for Professor Mitch Keller, require Combinatorics.

2023 Fall

Education

University of Wisconsin Madison

B.S. in Math & CS

GPA 3.98/4.0

September 2021 - present

Check Courses Taken

Tianjin No. 1 High School

Science Innovation Talents Training Project Experimental Class for Top 100 students in the City

September 2018 - July 2021

Others

Check the Recent Honor Paper about Cantor Set I wrote for my math analysis courses advised by Professor Jordan Ellenberg, though it is mostly Number Theory.
I like traveling and hiking. Some famous National Parks that I've visited are Yosemite, Yellow Stone, Grand Canyon, Rocky Mountain.
I like math a lot. I spent quite some time playing with contest like math problems during high school.


CLRT19 is short for Cai Lin Reuleaux Triangle 19, with Cai Lin as my name, reuleaux triangle is one of my favorite shape, 19 is a number that I like. Fun fact: Every Natural Number can be represented by 19 fourth powers, and the problem related to it is called Waring's Problem.