I am a sixth year PhD Candidate at Georgia Tech in the School of Mathematics.
My primary research focus is within probability. Some of my interests include percolation, first passage
percolation, random cluster models, and random growth models. My advisor is Michael Damron. Beyond math research, I really enjoy programming
and you can check out some of that here.
Research
Published/To Appear
(with M. Damron) Non-optimality of invaded geodesics in 2d critical first-passage
percolation. In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius.Springer (ArXiv)
(with M. Damron, J. Hanson, and W.-K. Lam) Transitions for exceptional times in
dynamical first-passage percolation. Probability Theory and Related Fields. Springer (ArXiv)
In Preparation
(with E. Bates, M. Damron, X. Shen, and E. Sorensen) Upper bound on geodesic length in 2D critical first-passage percolation.
(with M. Damron, J. Hanson, and W.-K. Lam) The incipient infinite cluster and 2d critical first-passage percolation.
Some Ongoing Projects
Properties of certain structures arising from
coalescing families of geodesics in last passage percolation
First passage percolation under path length restrictions
Noise sensitivity and sampling in dynamical first passage percolation
In addition to mathematics I am very passionate about programming. I enjoy simulating
various models related to my research. You can check out a cool GitHub repository containing some of that
here .
I also enjoy creating online math problem generators for my students, creating interactive machine learning apps and making video
games. You can find some of that on my Github Pages site here .
