David Borthwick

Associate 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

Teaching

Fall 2008: Math 361 webpage

Research

My interests are global and geometric analysis, differential geometry, and mathematical physics.

I just published a book: Spectral Theory of Infinite-Area Hyperbolic Surfaces, Birkhauser, 2007.  For more information see the book's
website.

book cover

Here are some recent preprints:

  1. D. Borthwick: Upper and lower bounds on resonances for manifolds hyperbolic near infinity, Comm. PDE, to appear. PDF file

  2. D. Borthwick and A. Uribe: The semiclassical structure of low-energy states in the presence of a magnetic field, Trans. AMS 359 (2007), 1875--1888. PDF file

  3. D, Borthwick and S. Graffi: A local quantum version of the Kolmogorov theorem, to appear in Comm. Math. Phys. 257 (2005), 499--514. Postscript file

  4. D. Borthwick, C. Judge, and P. Perry: Selberg's zeta function and the spectral geometry of geometrically finite hyperbolic surfaces, to appear in Comment. Math. Helv. 80 (2005), 483--515. Postscript file

Full list of publications

Academic History

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- Associate Professor, Emory University

Grants and awards

1994 Rackham Faculty Fellowship, University of Michigan
1994-97 NSF Research Grant in Modern Analysis
1996-99 NSF Postdoctoral Research Fellowship
2002-05 NSF Research Grant in Geometric Analysis


Last modified Sept., 2008.