Faculty

David Borthwick
Professor
Office: W417
Phone: 404-727-4993
Research groups: Analysis & Differential Geometry
Office hours
  • Tuesday: 2:00pm - 4:00pm
  • and by appointment
Teaching: Spring 2010
  • MATH 344 (000): Differential Geometry, MWF 8:30am - 9:20am
  • MATH 512 (000): Analysis II, MWF 10:40am - 11:30am
Research
  • Global and geometric analysis, differential geometry, and mathematical physics recent topics: scattering theory applications of microlocal analysis in symplectic topology
Recent publications
  • D. Borthwick: Upper and lower bounds on resonances for manifolds hyperbolic near infinity, Comm. PDE, to appear.
  • D. Borthwick: Spectral Theory of Infinite-Area Hyperbolic Surfaces, Birkhäuser, Boston, 2007.
  • 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.
  • D. Borthwick, C. Judge, and P. Perry: Selberg's zeta function and the spectral geometry of geometrically finite hyperbolic surfaces, Comment. Math. Helv., 80, (2005), 483--515.
Education
  • Ph.D. (1993) Harvard University (Physics)
  • B.A. (1988) Princeton University