For over a decade, I have worked as a mathematician with a sustained focus on the analysis of partial differential equations (PDEs). My research examines the evolution of solutions arising from these equations, with particular emphasis on shallow water wave theory—the study of how water waves propagate and evolve over time above a flat, shallow bottom. Because this area lies at the intersection of PDEs, fluid mechanics, and dynamical systems, my work naturally extends to the foundational hydrodynamic models from which these equations arise, including the Euler and Navier–Stokes equations. Through this research, I have developed a deep fascination with the evolution of fluid motion and have remained committed to making meaningful contributions to the theory and applications of PDEs.
Equally important to me is the teaching mission of academia. From my early experiences as a tutor in the mathematics lab at North Georgia College & State University to my work teaching at the University of Notre Dame and the University of North Georgia, I have cultivated a thoughtful and effective pedagogical approach. My teaching emphasizes clarity, rigor, and accessibility, ensuring that students not only keep pace but develop a deep and lasting understanding of mathematical concepts. I strive to create a classroom environment in which all students are supported, challenged, and empowered to succeed.
Beyond the classroom, I am deeply committed to collaboration and academic service. I strongly believe that education is a collective effort, and I work actively with colleagues to foster clear communication and shared goals. By minimizing unnecessary bureaucratic obstacles and emphasizing coordination among instructors, we are able to deliver cohesive and effective mathematical instruction. The result is a learning environment in which students’ mathematical abilities are strengthened and they are prepared to grow into capable, confident, and intellectually curious individuals.
EDUCATION
- Ph.D., Mathematics, University of Notre Dame, 2015
- M.S., Mathematics, University of Notre Dame, 2012
- B.S., Mathematics, North Georgia College and State University, 2009
