Research Interests: 

• Stochastic processes and optimization.

Preprints / Publications

1. Convergence of Log-Gamma Polymers at the zero boundary. With Sayan Das. In preparation.

Expository Works:

1. (Partial) Notes on A Course on Rough Paths. 2026. [pdf].

2. Markov Semigroups and Infinitesimal Generators. 2026. [pdf].

3. Short notes on Directed Polymers in Random Environments. 2025. [pdf]

4. RSW Theory for Percolation Models. 2024. [pdf]

5. The Stone-Čech Compactification. 2023. [pdf]

6. Short notes on P-Adic Numbers and Absolute Values. 2022. [pdf].

Course Assistant / Mentoring Experiences:

• Mentoring UT undergraduates in stochastic processes and financial mathematics.

• Mentored and gave weekly lectures on probability and analysis to three undergraduates at UChicago for REU 2025.

• STAT 22000 Statistical Methods and Applications. Spring '25. Profs. Yibi Huang and Daniel Xiang.

• MATH 13100-13300 Elementary Functions and Calculus I - III. Autumn '24, Winter '24, Spring '25. Prof. Subhadip Chowdhury.

• MATH 19620 Linear Algebra. Spring '24. Prof. Sarah Ziesler.

• MATH 19620 Linear Algebra. Winter '24. Isabella Scott.

• MATH 19620 Linear Algebra. Autumn '23. Gabriela Laboska.

Presentations / Talks:

1. UT Austin Junior Probability Seminar.  Markov Semigroups and Infinitesimal Generators. 10/2/26.

2. CSEM Student Forum. Percolation and Russo-Seymour-Welsh Theory. 2/6/26.

3. UChicago Directed Reading Program. Introduction to the P-adic Numbers. 10/6/22.