Peter A. Perry
Professor of Mathematics
Department of Mathematics
University of Kentucky

phone:    (859) 257-6791
fax:    (859) 257-4078 (FAX)
email:    perry@ms.uky.edu

MathExcel:

I direct the MathExcel Program for Calculus I and Calculus II at the University of Kentucky

Teaching :

In Fall 2009 I taught:

  • Math 113, Calculus I, Sections 9, 10, 11, 12
  • Math 773, Inverse Scattering and the Nonlinear Schrodinger Equation

In Spring 2010 I will teach:

  • Math 114, Calculus II, Sections 8, 9, 10, 11

Research Interests: Spectral and Scattering Theory, Spectral Geometry, Inverse Problems, Nonlinear Partial Differential Equations

Current collaborators include David Borthwick, Carolyn Gordon , Thomas Kappeler, Peter Topalov, Mikhael Shubin, Rostyslav Hryniv, and Yaroslav Mykytyuk.

Selected Publications

  1. Hislop, Peter D.; Perry, Peter A.; Tang, Siu-Hung CR-invariants and the scattering operator for complex manifolds with boundary. Anal. PDE 1 (2008), no. 2, 197--227.
  2. Kappeler, Thomas; Perry, Peter; Shubin, Mikhail; Topalov, Peter The Miura map on the line. Int. Math. Res. Not. 2005, no. 50, 3091--3133.
  3. Perry, Peter A. A Poisson summation formula and lower bounds for resonances in hyperbolic manifolds. Int. Math. Res. Not. 2003, no. 34, 1837--1851
  4. Spectral geometry in dimension 3, with Robert Brooks and Peter Petersen V . Acta Math. 173 (1994), 283-305.
  5. The Laplace operator on hyperbolic three manifolds with cusps of nonmaximal rank, with Richard Froese and Peter Hislop . Invent. Math. 106 (1991), no. 2, 295--333.
  6. Isospectral sets of conformally equivalent metrics, with Robert Brooks and Paul Yang. Duke Math. J. 58 (1989), no. 1, 131-150.
  7. Spectral analysis of N-body Schrödinger operators, with Barry Simon and Israel M. Sigal. Ann. of Math. (2) 114 (1981), no. 3, 519-567