Because I like to document my progress in mathematics and maintain a bird's eye view of my projects, here is what I got up to in the past years:
2024 - 2025
Started at UConn!
... more to come...
2023 - 2024
During the summer, I worked with Dr. Matthew Junge and Dr. Si Tang on the frog model as part of the Polymath REU. Our paper was published in ECJ.
I had also been reading about algebraic number theory. I was particularly enticed by abstract harmonic analysis, and sought to explore its applications in number theory. I read through Fourier Analysis on Number Fields, written by Dinakar Ramkrishnan and Robert J. Valenza (TeX notes, PDF).
I wrote an expository paper on optimal transport under the supervision of Dr. Holden Lee at JHU. It provides the requisite background in measure theory and builds up to a proof of Brenier's theorem.
2022 - 2023
I did a presentation on rudimentary category theory and the Yoneda lemma. Another on Markov-Chain Monte Carlo methods.
I interned as Research Assistant at the Luo Lab, learning about single-cell RNA data analysis. These experiences made me appreciate the computational side of mathematics, developing my familiarity with R, Bash, Linux, etc.
2021 - 2022
I learnt about dynamical systems in computational neuroscience at the Kanold Lab.
Before this year, I was a molecular biology major - I wrote my first math proof during the summer of 2021, and have loved proving things ever since!