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MathExcel:
I direct the MathExcel
Program for Calculus I and Calculus II at the University of
Kentucky
Teaching :
In Spring 2008 I am teaching:
In Fall 2008 I will teach:
- Calculus I: Math 113, Sections 17, 18, 19, 20
- Differential Geometry MA 641
Research Interests:
Spectral Theory of Scattering Theory, Spectral
Geometry, Inverse Problems, Nonlinear Partial Differential
Equations
Current collaborators include
David Borthwick,
Carolyn Gordon
,
Thomas
Kappeler,
Peter
Topalov,
Mikhael
Shubin,
Selected Publications
- Determinants of Laplacians and isopolar metrics on
surfaces of infinite area, with
David Borthwick
and
Chris Judge,
to appear in Duke Math. J.
- Spectral geometry in dimension 3, with
Robert Brooks
and
Peter Petersen V
. Acta Math. 173 (1994), 283-305.
- 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.
- Isospectral sets of conformally equivalent metrics, with
Robert Brooks
and
Paul Yang.
Duke Math. J. 58 (1989), no. 1, 131-150.
- Spectral analysis of N-body Schrödinger operators,
with
Barry Simon
and
Israel M. Sigal.
Ann. of Math. (2) 114
(1981), no. 3, 519-567
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