### Educational Background

- Ph.D. in Mathematics, Dartmouth
- A.M. in Mathematics, Dartmouth
- A.B. in Mathematics, Bowdoin College

### Research Interests

- Geometry, with connections to analysis. Recent work involves inverse spectral problems, asymptotics of the heat trace on orbifolds, and upper bounds on eigenvalues.

### Selected Publications

Equivariant inverse spectral theory and toric orbifolds, with Victor Guillemin and Rosa Sena-Dias, *Advances in Mathematics*, **231** (2012), 1271-1290.

Equivariant inverse spectral problems, with Victor Guillemin and Rosa Sena-Dias, *Spectral Geometry*, Proceedings of Symposia in Pure Mathematics, **84** (2012), 155-166.

Hearing Delzant polytopes from the equivariant spectrum, with Victor Guillemin and Rosa Sena-Dias, *Transactions of the American Mathematical Society*, **364** (2012), 887-910.

Bounding the eigenvalues of the Laplace-Beltrami operator on compact submanifolds, with Bruno Colbois and Ahmad El Sou, *Bulletin of the London Mathematical Society*, **42** (2010), 96-108.

Huber's Theorem for Hyperbolic Orbisurfaces, with Alexander Strohmaier, *Canadian Mathematical Bulletin*, **52** (2009), 66-71.2

Asymptotic expansion of the heat kernel for orbifolds, with Carolyn S. Gordon, Sarah J. Greenwald and David L. Webb, *Michigan Mathematical Journal*, **56** (2008), 205-238.

Hearing the weights of weighted projective planes, with Miguel Abreu, Pedro Freitas and Leonor Godinho, *Annals of Global Analysis and Geometry*, **33** (2008), 373-395.

Extremal *G*-invariant eigenvalues of the Laplacian of *G*-invariant metrics, with Bruno Colbois and Ahmad El Soufi, *Mathematische Zeitschrift*, **258** (2008), 29-41.

Adjacent edge conditions for the totally nonnegative completion problem, with Charles R. Johnson and Brenda K. Kroschel, *Linear and Multilinear Algebra*, **56** (2008), 261-277.

Collars and partitions of hyperbolic cone-surfaces, with Hugo Parlier, *Geometriae Dedicata*, **127** (2007), 139-149. *Geometric and Spectral Properties of Compact Riemann Orbisurfaces*, Ph.D. thesis, 2004.