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

Teaching

Spring 2012: Math 344 webpage Math 512 webpage

Research

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

I wrote the book: Spectral Theory of Infinite-Area Hyperbolic Surfaces, Birkhauser, 2007.  For more information (including errata) see the book's
website.

book cover

Slides from some recent talks:

  1. Riemann’s zeros and the rhythm of the primes, given at Emory Nov. 2009 to celebrate the 150th anniversary of the Riemann hypothesis.

  2. Spectral theory on hyperbolic surfaces, from 3 expository lectures given at the Dartmouth Spectral Geometry meeting, July 2010.

  3. Sharp geometric bounds on resonances for surfaces with hyperbolic ends, research talk given at the Penn State Spectral and Scattering Theory conference, August 2010.

Some recent research articles:

  1. D. Borthwick, Sharp geometric upper bounds on resonances for surfaces with hyperbolic ends, preprint (2010), to appear in Analysis in PDE. PDF file

  2. D. Borthwick, T. Christiansen, P. Hislop, and P. Perry, Resonances for manifolds hyperbolic at infinity: optimal lower bounds on order of growth, IMRN 2011, 4431--4470. PDF file

  3. D. Borthwick and P. Perry: Inverse scattering results for metrics hyperbolic near infinity, J. Geom. Anal. 21 (2011), 305--333. PDF file

  4. D. Borthwick, Sharp upper bounds on resonances for perturbations of hyperbolic space, Asymptotic Anal. 69 (2010), 45--85. PDF file

  5. D. Borthwick: Upper and lower bounds on resonances for manifolds hyperbolic near infinity, Comm. PDE 33 (2008), 1507--1539. PDF 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
2002-2009 Associate Professor, Emory University
2009- 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
2009-12 NSF Research Grant in Analysis

Curriculum Vitae


Last modified Jan., 2012.