- Ph.D. in Mathematics, Dartmouth
- A.M. in Mathematics, Dartmouth
- A.B. in Mathematics, Bowdoin College
- Geometry, with connections to analysis. Recent work involves inverse spectral problems, asymptotics of the heat trace on orbifolds, and upper bounds on eigenvalues.
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.