David Borthwick

Professor of Mathematics
Emory University

David Borthwick

Contact Information

Address: Dept. of Math/CS
Emory University
Atlanta, GA 30322 USA
Office: W417 Math & Science Center
Email: davidb@mathcs.emory.edu
Phone: (404) 727-4993


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:

resonance plot



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.

Academic History


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


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

Last modified April, 2019.