David BorthwickProfessor of Mathematics 

Address:  Dept. of Math/CS Emory University Atlanta, GA 30322 USA 
Office:  W417 Math & Science Center 
Email:  davidb@mathcs.emory.edu 
Phone:  (404) 7274993 
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:
Spectral Theory is a text covering basic functional analysis with an emphasis on spectral theory. The first half of the book introduces the theory of Hilbert spaces and operators, leading up to a proof of the spectral theorem. In the second half, this theory is applied to develop the spectral theory for some important examples, such as the Dirichlet Laplacian and Schrodinger operators. The text is published by Springer in the GTM 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. 

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 InfiniteArea 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
199396  Assistant Professor, University of Michigan 
199697  NSF Posdoctoral Research Fellow, University of California at Berkeley 
19972002  Assistant Professor, Emory University 
20022009  Associate Professor, Emory University 
2009  Professor, Emory University 