
NSF Postdoctoral Fellow, Mathematics
Northwestern University
Research Interests
I am interested in problems in partial differential equations, spectral theory, microlocal analysis, global analysis, and nonlinear waves.
See my research statement for a more detailed discussion of my work.
Publications and Pre-prints
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with J. Wunsch. Mode Solutions to the wave equation on a rotating cosmic string background. (arXiv link)
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with J. Wunsch. Generalized Price's law on fractional-order asymptotically flat stationary spacetimes. Mathematical Research Letters. To appear. (arXiv link)
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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)
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with J. Metcalfe. Global existence for systems of quasilinear wave equations in (1+4)-dimensions. Journal of Differential Equations. 2020. (https://doi.org/10.1016/j.hde2019.09.012)
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Wave decay in the asymptotically flat stationary setting. 2019, 155 pages. Available from ProQuest Dissertations and Theses Global. (2296357806)
Selected Talks
Invited
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Partial Differential Equations Seminar (October 2021)
Vanderbilt University
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International Congress on Mathematical Physics Young Researchers Symposium (July 2021)
Geneva, Switzerland (delivered remotely)
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Analysis and PDE Seminar (May 2021)
University of Kentucky (delivered remotely)
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Canadian Mathematical Society Summer Meeting (June 2020)
Ottowa, Canada - cancelled due to COVID
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Microlocal Analysis Seminar (October 2019)
Mathematical Sciences Research Institute
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Harmonic Analysis and Differential Equations Seminar (October 2019)
University of California - Berkeley
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Analysis and Partial Differential Equations Seminar (March 2019)
University of Kentucky
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Spectral and Scattering Theory Seminar (October 2018)
Purdue University
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AMSI-ANU Workshop on Microlocal Analysis (March 2018)
South Durras, Australia
Other Talks
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"Analysis and Geometry of Nonlinear Evolution Equations" AMS Speciall Session (January 2019)
Joint Mathematics Meetings, Baltimore, MD
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Texas Analysis and Mathematical Physics Symposium (October 2018)
Baylor University
Videos
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5 minute research introduction (Fall 2019)
Mathematical Sciences Research Institute