I am an RTG postdoctoral fellow in the Department of Mathematics at Southern Methodist University. I received my Ph.D. in applied mathematics from Brown University, where I worked with Björn Sandstede on the stability of nonlinear waves. In particular, I studied the existence and stability of multi-pulse solutions in continuous and discrete Hamiltonian systems. I also collaborate with Alejandro Aceves, Todd Kapitula and Panos Kevrekidis.

Although I have been fascinated by mathematics as long as I can remember, it took me until my mid 30s to embrace my inner math nerd. Beforehand, I worked many different jobs, including bicycle repairperson, computer network technician, church organist, math and science tutor, emergency room technician, and internal medicine intern.

In my spare time, I enjoy Scottish country dancing, Sacred Harp singing, playing piano and violin, origami, and ultralight backpacking.

- Dynamical systems
- Nonlinear waves
- Network theory

Ph.D. in applied mathematics, 2020

Brown University

Solitary waves are localized disturbances in a medium that maintain their shape as they propagate at a constant velocity. I study the existence and stability of multi-pulse solitary waves in Hamiltonian systems such as the fifth-order Korteweg-de Vries equation (KdV5) and the discrete nonlinear Schrodinger equation (DNLS). Multi-pulses are disturbances which resemble multiple, well separated copies of a single solitary wave.

I am interested in how the geometry of a multi-pulse solution determines its spectral stability. My research statement summarizes the work I have done on multi-pulses.

(2020).

Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry.
*arXiv e-prints* 2010.05728.

(2020).
A reformulated Krein matrix for star-even polynomial operators with applications.
*SIAM Journal on Mathematical Analysis* 52 (2020) 4705-4750.

(2020).
Multi-pulse solitary waves in a fourth-order nonlinear Schrödinger equation .
*arXiv e-prints* 2009.01647.

(2020).
Existence and spectral stability of multi-pulses in discrete Hamiltonian lattice systems.
*Physica D* 408 (2020) 132414.

(2020).
**Math 3304**: Introduction to Linear Algebra, Spring 2021**Math 1337**: Calculus I, Fall 2020 (syllabus)

**APMA 1360**: Applied Dynamical Systems, Spring 2020 (syllabus)**Intensive review of analysis for incoming graduate students**, Summer 2019**APMA 1650 : Statistical Inference I**, Summer 2016 (syllabus)

**Sheridan Course Design Seminar**, Spring 2019**Sherian Teaching Consultant Program**, 2017-2018**Sheridan Teaching Seminar - Reflective Teaching**, 2015-2016