Research Overview

My research explores mathematical structures arising in celestial mechanics, dynamical systems, differential equations, and gravitational-wave physics. Much of my recent work concerns black hole quasinormal modes: the characteristic oscillations predicted by mathematical models of black holes.

I earned my Ph.D. in Mathematics from the University of Minnesota, where I worked with Rick Moeckel on relative equilibria in celestial mechanics. My current research connects differential equations, spectral questions, numerical methods, and the mathematical modeling of black hole perturbations.

Featured Research Direction

Black hole quasinormal modes are the characteristic ringing frequencies that appear in mathematical models of perturbed black holes. They are important in gravitational wave research because they help connect observed waveforms to the structure of the underlying spacetime.

A central theme in my recent work is the behavior of quasinormal modes for black hole effective potentials. These problems involve imposing physically meaningful boundary conditions on differential equations and studying the resulting complex frequencies.

These questions sit at the intersection of mathematical physics, numerical analysis, spectral theory, and gravitational-wave astronomy.