Students – Jason Metcalfe

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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. Almost global existence for systems of nonlinear wave equations in three spatial dimensions. (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)
Xiao-Ming Porter. Local energy estimate for damped waves.(2023)

Other Undergraduate Research Leading to Publication

Michael Facci. (2020-2021).
Alex McEntarffer. (2020).

Research with High School Students Leading to Publication

Kellan Hepditch. (2021-2022).