Personal Mathematics Notes

Sensitivity Analysis and Optimal Control
Notes on uncertainty quantification, local and global sensitivity analysis, parameter selection, and the theory of optimal control. Based on Uncertainty Quantification, by Smith (2013); and Optimal Control Applied to Biological Models, by Lenhart and Workman (2007). Compiled in spring 2023.

Stochastic Processes for Biological Applications
Notes on Markov chains and random walks, Poisson processes, and point processes, with applications in the biosciences. Compiled in spring 2023.

Fluids

Wall-Driven Cavity Flow
GitHub repository containing MATLAB codes implementing FTCS explicit and point Gauss-Seidel methods to solve a wall-driven cavity flow. Also includes a project write-up detailing the numerical methods and displaying main results. Completed in spring 2025 as part of a computational fluid dynamics course final.

Advice from Others

Advice for Potential Ph.D. Students
Compiled by Prof. Ravi Vakil at Stanford, this short webpage is one of the first resources I saved while preparing for graduate school. In addition to information for graduate students who might seek him out as an advisor, the page contains invaluable general advice for graduate students.

Guide to Being a Successful Math Student
Some basic tips on studying mathematics at the graduate level, written by Prof. Sam Nelson at Claremont McKenna College.

A Guide to Writing Mathematics
An excellent guide from Dr. Kevin P. Lee on how to structure and write mathematical research papers.

Some Career Advice for Postdocs and Grad Students (or, how to get a job in academia)
A comprehensive essay from Prof. Kimball Martin at Osaka Metropolitan University on preparing for and applying to academic jobs in mathematics.