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I am interested in problems in partial differential equations including global analysis of waves, mathematical relativity and nonlinear waves. My research involves techniques from spectral theory and microlocal analysis.

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Publications and Pre-prints


with J. Wunsch. Wave propagation on rotating cosmic string spacetimes. (arXiv link)

Peer Reviewed

  1. with J. Wunsch. Mode solutions to the wave equation on a rotating cosmic string background. Proceedings of the AMS. To appear. (arXiv link)

  2. with J. Wunsch. Generalized Price's law on fractional-order asymptotically flat stationary spacetimes. Mathematical Research Letters. To appear.  (arXiv link)

  3. The effect of metric behavior at spatial infinity on pointwise wave decay in the asymptotically flat stationary setting. American Journal of Mathematics. To appear. (arXiv link)

  4. with J. Metcalfe. Global existence for systems of quasilinear wave equations in (1+4)-dimensions. Journal of Differential Equations. 2020. (


Wave decay in the asymptotically flat stationary setting. 2019, 155 pages. Available from ProQuest Dissertations and Theses Global. (2296357806)

Recent & Upcoming

For a more expansive list of talks, view my CV

1 / Conferences and Workshops

May Midwest Microlocal Meetings // May 2023
Northwestern University

AMS Central Sectional Meetings // April 2023
University of Cincinnati

PDE Mini-School with Peter Hintz // March 2023
UNC-Chapel Hill


Joint Math Meetings // January 2023
Boston, MA


Harmonic Analysis and Waves // August 2022
University of Washington


Workshop on Microlocal Analysis and PDEs // July 2022
University College London

2 / Seminars and Colloquia

Michigan State University // Dalhousie University //  University of Kentucky // Ghent University // Oberlin College 


Lecture Notes

MATH 891: Topics Course on Nonlinear Waves // Spring 2017
taught by Jason Metcalfe

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