Justin Trulen

My main area of research focuses on Fourier analysis, Fourier multipliers, and singular integrals. My doctoral work focused on their applications to dispersive differential equations. Mainly, getting asymptotic estimates for the solutions of Schrodinger and Klein-Gordon equations. My current study focuses on the characterization of Fourier Multipliers.

Undergraduate research currently focuses on number theory. Mainly, the study of sequences of p-adic valuations generated by polynomials. This work involves collaboration with faculty members across six institutions. Past undergraduate research involved topics in differential equations, game theory, and modeling population dynamics.