Professor of Mathematics
|Address:||Dept. of Math/CS
Atlanta, GA 30322 USA
|Office:||W417 Math & Science Center|
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 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.
|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|