My Students

Brett Ehrman, PhD
Thesis Title: Stability of Nonlinear Waves in some Camassa-Holm Type Equations.
Graduated 2025
First Job -- Assistant Professor, Sterling College

Wesley Perkins, PhD
Thesis Title: Modulational and Subharmonic Dynamics of Periodic Waves.
Graduated 2021
First Job: C.C. Hsiung Visiting Assistant Professor at Lehigh University

Connor Smith, PhD
Thesis Title: Dynamics of Essentially Unstable Solitary Waves.
Graduated 2019
First Job: Data Scientist, Lowe's Companies, Moorsevile, NC

Kyle Claassen, PhD
Thesis Title: Stability of Periodic Waves in Nonlocal Dispersive Equations.
Graduated 2018
First Job: Assistant Professor of Mathemaitcs at Rose-Hulman Institute of Technology
MA Students
- Skylar Allen, graduated summer 2023.
- Thesis Title: Some Existence Results for Boundary Value Problems for Elliptic PDE
- Took job with Prime Pensions in Florham Park, NJ.
- Claire Bodemann, graduated 2021.
- Thesis Title: Stability of Solitary Waves for the Generalized Korteweg-de Vries Equation.
- Took job as Mathematics Instructor for eStem Public Charter Schools in central Arkansas.
- Paul Goodwin, graduated 2019.
- Thesis Title: Beyond the Fourier Transform -- On the Inverse Scattering Transform and the Fokas Method.
- Continued to Mathematics Ph.D. program at Missouri University of Science and Technology.
- Uyen Le, graduated 2017.
- Thesis Title: Existence of Nonlinear Waves in Water Wave Models.
- Continued to Mathematics Ph.D. program at McMaster Univeristy.
- Joel Klipfel, graduated 2015.
- Thesis Title: Orbital Stability of Ground State Solutions of the Nonlinear Schrodinger Equation.
- Continued to Mathematics Ph.D. program at the University of Kentucky.
Undergraduate Research Project Mentor
- Jordan Bramble, Spring 2021-Spring 2022.
- Project Title: Infectious Disease Modeling -- Implications of Non-Sterilizing but Protective Immunity on Vaccine Application.
- Jordan Bramble, Fall 2019-Spring 2020, co-advisor with Dionyssios Mantzavinos.
- Project Title: Mathematical Modeling of Arterial Blood Flow.
Departmental Honors Porject Advisor
- Asher Supernaw, graduated 2020.
- Project Title: Toward an Understanding of Local Behavior in Nonlinear ODEs.
- Continued to Mathematics Ph.D. program at UM, Amherst.
- Trevor Scheopner, graduated 2018.
- Project Title: Modeling the Dynamics of an Electric Guitar String.
- Continued to Physics Ph.D. program at UCLA.
- Sam Wester, graduated 2016.
- Project Title: Differential Equations and Semigroup Theory.
- Continued to Mathematics Ph.D. program at UIUC.