My research lies in the intersection of Probability, Statistics, and Mathematical Physics, in the field of Random Matrix Theory—a discipline that originally arose in multivariate statistics from an interest in estimating the covariance matrix of a random vector sampled from a large population. Currently, I study the solvability of $\beta$-ensembles of random matrices for integer values of $\beta$ beyond 1, 2 and 4.

A short description of my research interests can be found here (and here is a not-so-short description).

Past Undergraduate Projects

Grinnell Mentored Advanced Projects

• In Summer 2023, I co-advised two Grinnell students, Max Worth and Mark Krysan, on a Mentored Advanced Project alongside Prof. Ryan Miller. This project aimed to improve the modeling and data handling methods used in previous statistical analysis of drivings simulator time series data, with the specific application to assess the influence of acute cannibis use on driving behavior.

Reed College Science Research Fellowship

• In Summer 2023, I collaborated with two Reed students, He Bai and Asa Ferguson, as well as with Reed Professor Leonard Wainstein, on a project seeking to unify multilevel and fixed effects approaches to generalized linear models and penalized regression.

• In Summer 2020, I advised a Reed Student, Jonathan Li, on a research project using statistical modeling and Monte Carlo methods to investigate the stochastic behavior of certain classes of random tensor objects.

Reed Senior Theses 2019 - 2022

While at Reed College, I advised several year-long senior thesis projects.

• “Statistical Models for Avalanche Frequency,” Ian Cates-Doglio, 2022

• “Efficacy of Medical and Non-Medical Interventions on Case Rates for COVID-19,” Evan Pugh, 2022

• “Statistical Inference Procedures for Random Forests,” Paul Nguyen, 2022

• “High-Dimensional Signal Processing using PCA and Free Probability,” Tunc Kose, 2022

• “Simulating Repeated Coalition Formation under Uncertainty,” Jonathan Li, 2021

• “Spectral Statistics of Random Matrices,” Ali Taqi, 2021

• “Inference on Latent Structure Random Graphs: Context, Theory and Applications,” Alan Moore, 2021

• “Statistical Inference on Brownian Motion with Drift”, Matthew Yancheff, 2020

• “Linearizing Quadratic Stochastic Processes for Metagame Mixing Time Analysis,” Collin Guo, 2020

• “The Longest Increasing Subsequence as a Test Statistic,” Zeki Kazan, 2020

• “Citation and Collaboration Behavior at the University Level in Agricultural Sciences,” Shulav Neupane, 2020

I also advised several multi-term undergraduate reading and research projects at the University of Oregon:

UO Mathematics Department Directed Reading Program

• “Vector calculus via differential forms,” Alex Vischer, 2019

UO Association for Women in Mathematics Undergrad Reading Program

• “Sodoku puzzles as random matrices,” Shahden Barghouti, 2018
• “A novel, heuristic “proof” of the celebrated Semicircle Law in random matrix theory,” Cory Risinger, 2017
• “Pascal’s Triangle: An application of problem-solving strategies,” Shahden Barghouti, 2017
• “Calculus, at least according to Isaac Newton,” Kelsey Clausen, 2016