I am a probabalist and mathematical statistician whose current research interests lie in random matrix theory, statistical learning, and the study of spatial stochastic processes. I am a dyed-in-the-wool Pacific Northwesterner; before joining the Reed College faculty in 2019, I received my BA in Mathematics and Philosophy from Whitman College in Walla Walla, WA (2011), and my PhD in Mathematics from the University of Oregon in Eugene, OR (2019). A game enthusiast, I enjoy weaving aspects of problem-solving and game theory into the fabric of all my mathematics and statistics courses.
PhD in Mathematics, 2019
University of Oregon
BA in Mathematics and Philosophy, 2011
Whitman College
Currently, I am teaching the following courses at Reed College:
Fall 2021
Spring 2022
Previously, I have taught the following courses:
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 detailed description of my research interests can be found here (and here is a not-so-detailed description).
Over the past two years, I have advised several year long senior thesis projects at Reed College.
Reed Senior THeses 2021-2022
Reed Senior Theses 2020-2021
Reed Senior Theses 2020-2021
I have also advised several multi-term undergraduate reading and research projects at the University of Oregon:
UO Mathematics Department Directed Reading Program
UO Association for Women in Mathematics Undergrad Reading Program
“Virtual Tactile Resampling for Permutations and Bootstraps.” (Shiny App). USCOTS 2021. Posters and Beyond. June 2021
“Eigenvalues of random matrices.” Math Enthusiasts’ Series. University of Washington Tacoma, December 2020
“PrettyR Graphics with ggplot2” ERWS. Reed College, July 2020
“A ShortR Introduction to R” ERWS. Reed College, July 2020
“Hyperpfaffian descriptions of $\beta$-ensembles when $\beta$ is a perfect square.” JMM 2021, Probability Theory, Stochastic Processes and Statistics. Contributed Paper. January 2020
“Shuffle algebra techniques for partition functions of Selberg-type integrals in random matrix theory” Mathematics Department. Oregon State University, April 2019
“On the distribution of eigenvalues of a random matrix.” Mathematics Department. Reed College, February 2019
E. D. Wolff, J. M. Wells, The Partition Function of Log-Gases with Multiple Odd Charges, Submitted Summer 2021, ArXiv
J. M. Wells, On the solvability of $\beta$-ensembles when $\beta$ is a square integer, Doctoral Dissertation, supervised by C. Sinclair (2019).
R. A. Gordon and J. M. Wells, On the perimeter of integral triangles, International Journal of Pure and Applied Mathematics 64 (2010).