David Borthwick

My interests are spectral theory, global and geometric analysis, and mathematical physics. Preprints of my published articles are posted on the arXiv and also at OpenEmory.

Much of my recent research has to do with the distribution resonances of hyperbolic surfaces of infinite area. Here is a sample plot showing roughly 18,000 resonances of a hyperbolic funneled torus:

Introduction to Partial Differential Equations is a text for advanced undergraduate or beginning graduate course on PDE. My primary goal in this book was to make the theory accessible without requiring extensive analysis prerequisites. The text is published by Springer in the Universitext series. Available directly from the publisher or from Amazon. A current list of errata is available here. Please email me if you find an issue that is not on the list. The first printing had additional mistakes which were corrected as of Spring 2018, in both print and online editions.

Spectral Theory of Infinite-Area Hyperbolic Surfaces has a second edition as of 2016, Volume 318 in the Progress in Mathematics series published by Birkhauser. Available directly from the publisher or from Amazon. A current list of errata is available here.

Education

1988	A.B., Princeton University
1993	Ph.D. in Physics, Harvard University (advisor: Arthur Jaffe)

Career

1993-96	Assistant Professor, University of Michigan
1996-97	NSF Posdoctoral Research Fellow, University of California at Berkeley
1997-2002	Assistant Professor, Emory University
2002-2009	Associate Professor, Emory University
2009-	Professor, Emory University

Curriculum Vitae