The University of North Carolina at Chapel Hill

Ph.D. students

• Parul Laul. Localized energy estimates of the wave equation on higher dimensional hyperspherical Schwarzschild spacetimes. (2011).
• John Helms. The sharp lifespan for quasilinear wave equations in exterior domains with polynomial local energy decay. (2012).
• Jacob Perry. Localized energy estimates for wave equations exterior to non-star-shaped obstacles. (2018)
• Robert Booth. Almost global existence for quasilinear wave equations on non-trapping asymptotically flat backgrounds. (2018)
• Katrina Morgan. Wave decay in the asymptotically flat stationary setting. (2019)
• Collin Kofroth. Local energy decay for damped waves on stationary asymptotically flat space-times. (2022)
• Taylor Rhoads. (expected 2022)
• Benjamin Bechtold. (expected 2024)

 

Masters students

• Robert Booth. Energy estimates on asymptotically flat surfaces of revolution. (2011)
• Anna Geyer. Localized energy estimates for solutions to the wave equation in Minkowski, Schwarzschild, and Reissner-Nördstrom space-times. (2011)

 

Undergraduate Honors Theses

• Jacob Perry. Solutions to quasilinear wave equations in homogeneous waveguides with Neumann boundary conditions. (2010)
• Bryan Lloyd. A localized energy estimate exterior to a class of almost star-shaped obstacles. (2013)
• Shreyas Tikare. Localized energy estimates for wave equations on higher dimensional black holes [Highest honors] (2014)
• David Spencer. Global existence in a coupled wave system [Highest honors] (2017)
• Difan Li. Local energy estimates for wave equations with degenerate trapping (2019)
• Alexander Stewart. Global existence for a system of weakly null semilinear equations. (2022)