Current Courses
Past Courses
Administration
I am the Director of
Graduate Studies
for the Department of Mathematics
Research
Spectral and Scattering Theory, Spectral
Geometry,
Inverse Problems, Nonlinear Partial Differential
Equations, Completely Integrable Systems
You can find my preprints on the ArXiV
here
mixed in with a few from Patrick
O. Perry,
a statistician at
Harvard University.
Current Doctoral Students
 Michael Music
For Michael's preprints (three to date), see ArXiV
Graduated Doctoral Students
 Ryan Walker (2013), On A PaleyWiener Theorem for the ZSAKNS Scattering Transform
 Albert Schueller (1996),
Eigenvalue Asymptotics for
Selfadjoint, Fourthorder, Ordinary Differential
Operators
 Zhiqiang Wu (1997), TraceClass Estimates for Elliptic
Operators and Weyl's Law on Exterior Domains with Fractal Boundaries
 Douglas
Riley (1999),
Global Existence of Strong Solutions
to the ThreeDimensional Incompressible NavierStokes
Equations
 Yuho Shin (2006), Geodesics of a TwoStep Nilpotent
Group
 Christopher Frayer (2008),
Scattering with singular Miura potentials on the line.
 Ryan Walker (2012), On a PaleyWiener Theorem for the ZSAKNS Scattering Transform

Biographical Sketch
Peter Perry received his doctorate in Physics from Princeton University
in 1982. He held an NSF Postdoctoral Fellowship at the Courant Institute of
Mathematical
Sciences in 19811982, a Bantrell Fellowship in Mathematical
Physics at Caltech in 19821985,
and began a tenuretrack assistant
professorship at the University of Kentucky in the fall of 1985.
He was
tenured in 1988 and promoted to the rank of full professor in 1994. Perry
was awarded
a University Research Professorship in 19992000 and in 2010
was awarded the title of
College of Arts and Sciences Distinguished
Professor. Perry chaired the Mathematics Department from 2000
to 2004 and
directed the MathExcel program from 2007 to 2011. He is currently the
Director of Graduate Studies
in the Department of Mathematics.
Full vita
Selected Publications
 The NovikovVeselov equation: theory and computation, with
Ryan Croke,
Jennifer Mueller,
Michael Music,
Samuli Siltanen, and
Andreas Stahel,
to appear in Contemporary Mathematics
 Resonances for Manifolds Hyperbolic Near Infinity: Optimal
Lower Bounds on Order of Growth, with
David Borthwick,
Tanya Christiansen,
and
Peter Hislop.
Int. Math. Res. Not. 2010. First
published online December 5, 2010, doi:10.1093/imrn/rnq249
 The Miura map on the line, with
Thomas Kappeler,
Mikhail Shubin,
and
Peter Topalov.
Int. Math. Res. Not. 2005,
no. 50, 30913133.
 A Poisson summation formula and lower bounds
for resonances in hyperbolic manifolds.
Int. Math. Res. Not.
2003, no. 34, 18371851.
 Spectral geometry in dimension 3, with
Robert Brooks
and
Peter Petersen V
.
Acta Math. 173 (1994), 283305.
 The Laplace operator on hyperbolic three manifolds with
cusps of nonmaximal rank, with
Richard Froese
and
Peter Hislop
.
Invent. Math. 106 (1991), no. 2,
295333.
 Isospectral sets of conformally equivalent metrics, with
Robert Brooks
and
Paul Yang.
Duke Math. J. 58 (1989), no. 1, 131150.
 Spectral analysis of Nbody Schrödinger operators,
with
Barry Simon
and
Israel M. Sigal.
Ann. of Math. (2) 114
(1981), no. 3, 519567.
