For over a decade, I have worked as a mathematician and have dedicated my academic life to the study of partial differential equations (PDEs). Through these particular mathematical lenses, I have analyzed the evolutionary processes of solutions that these equations yield. In particular, my research has been dedicated to shallow water wave theory, which is the analysis of water waves and how they evolve with time over a flat shallow bottom. Since at the heart of this field lies fluid mechanics and dynamics, I've not only studied these shallow water wave models, but also the models of hydrodynamics from which these equations originate such as the Euler and Navier-Stokes equations. My research in these areas have ultimately led to my fascination with the evolution of fluid motion, and I have continued to exercise great diligence in making contributions to PDEs.
I also really enjoy the teaching aspect of academia. From my early days as a tutor in the math lab at North Georgia College & State University to teaching at the University of Notre Dame, I have developed and honed a remarkable pedagogy in order to deliver my students a proper education. Through the strategies I employ, none of my students are left behind, and before leaving my classroom, they obtain a thorough and deeper understanding of mathematics.
On and off the blackboard, my diligence towards education has paid huge dividends. Not only do I promote a collaborative environment in the classroom, but also among my colleagues. With a firm belief in education as a team effort, I have always striven to mollify the bureacratic end so as not to interfere with the actual education of students. Constant communication is kept between my colleagues so as to deliver the proper mathematical materials in the classroom. The end result being that our students' mathematical capacity is amplified, and they evolve into the brightest of individuals.
- 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