Research Interests

I am interested in mathematical modeling, data science, perturbation methods, stochastic processes, network theory, and programming. Most of my research has been analytical with supporting numerical simulations.

Research Experience

For my PhD research, I worked under Professor Jim Cushing on population dynamics. I defended my dissertation on July 19, 2017 titled Invading a structured population: a bifurcation approach. We also published a paper together (see below) with postdoctoral student Kehinde Salau in 2016.

doc Thesis

doc Paper

In Summer 2015, I attended the 2015 SAMSI Industrial Mathematics and Statistics Modeling (IMSM) Workshop and worked with a group of 5 other students to model the spread of Ebola, mentored by John Peach from MIT Lincoln Laboratory. I specifically worked on a spatial agent-based model written in Python.

doc Paper

In Summer 2014, I worked with Professor Ryusuke Kon under the NSF EAPSI program at the University of Miyazaki to analyze a 4-dimensional system of differential equations motivated by population dynamics.

In Fall 2012, I worked under Professor Karl Glasner for my RTG project, researching diffuse interfaces.

doc Paper

In Spring 2012, I worked under Professor Ken McLaughlin for my term paper project, researching WKB Theory.

doc Paper

In Fall 2011, I worked with partner Michael Meaden on an experimental splashing project.

doc Paper

From 2010-2011, I worked under Professor Gregor Kovacic with partner Ethan O'Brien at RPI on computational neuroscience.

doc Paper

presentation Presentation

Mathematical Contest in Modeling

In 2010 and 2011, I competed in COMAP's Mathematical Contest in Modeling (MCM) with partners Joseph Gibney and Yonatan Naamad. In 2010, we recieved the SIAM Prize and were one of five teams to be voted Outstanding. In 2011, we were again one of four teams to be voted Outstanding. In both years, we worked on Problem B, usually referred to as the discrete problem.

doc 2011 Paper: VHF Repeater Placement

doc 2010 Paper: Following the Trail of Data