Students
Contents
Completed Ph.D. Students
Natalie Coston
Ph.D. May 2018
Thesis: Spectral Properties of Products of Independent Random Matrices
Natalie studied the eigenvalues of products of random matrices; see the papers in the Annales de l’Institut Henri Poincaré and the Journal of Theoretical Probability.
Ph.D. May 2019
Thesis: On the pairing between zeros and critical points of random polynomials with independent roots
In his thesis, Noah studied the critical points of random polynomials with independent roots; see the papers in the Transactions of the American Math Society and the Electronic Journal of Probability. Noah is an Assistant Professor in the Department of Mathematical Sciences at Appalachian State University.
Ali Lotfi
Ph.D. May 2022
Thesis: Numerical Stability of the GSXO Orthogonalization Scheme
Ali was co-advised by Julien Langou at the University of Colorado Denver. In his thesis, Ali analyzed the GSXO algorithm.
Ph.D. May 2023
Thesis: Spectral Properties of Random Matrices with Dependent Entries
In his thesis, Andrew studied several models of random matrices with heavy-tailed and dependent entries; see the papers in the Electronic Journal of Probability and Journal of Theoretical Probability. Andrew is a postdoc in the group of László Erdős at IST Austria.
Current Ph.D. Students
Isabelle Kraus
Ph.D. candidate
2020 - Present
Postdocs
Philip Kopel
Burnett Meyer Visiting Assistant Professor
2016 - 2018
Philip studied the eigenvalues of products of random matrices; see the paper in the Annals of Probability.
Masters' Students
Shumin Zeng
M.A. May 2018
Presentation: Matrix entries of analytic functions of random matrices
Yuwei Jia
M.A. May 2021
Presentation: Estimating covariance matrices
Undergraduate Honors Students
Megan Sochinski
magna cum laude · May 2018
Thesis: Finding Planted Cliques in Erdős–Rényi Random Graphs: Improving previous methods and expanding applications
In her thesis, Megan studied spectral algorithms for locating hidden cliques in random graphs.
magna cum laude · December 2019
Thesis: Limiting Moments of the Eigenvalue Distribution of the Watts–Strogatz Random Graph
Poramate's thesis describes the first few moments of the empirical spectral distribution formed from the eigenvalues of the adjacency matrix of the Watts-Strogatz random graph.
summa cum laude · May 2020
Thesis: Distribution and Properties of the Critical Values of Random Polynomials with Non-Independent and Non-Identically Distributed Roots
Megan's thesis focuses on the critical points of random polynomials formed from independent random variables and their complex conjugates. Her research was published in the PUMP Journal of Undergraduate Research.
Kyle Schneider
magna cum laude · May 2021
Thesis: Uncontrollable Networks for Laplacian Leader-Follower Dynamics
Kyle's thesis describes characterizations of controllability for Laplacian leader-follower dynamics.