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Research Interests
Differential geometry
Spectral geometry
Orbifolds
Metric geometry
Nonnegative curvature
Publications and Preprints
Γ-extensions of the spectrum of an orbifold, with Carla Farsi and Christopher Seaton. To appear Transactions of the American Mathematical Society.
Orbifold homeomorphism finiteness based on geometric constraints. Annals of Global Analysis and Geometry, 41 (2012), no. 1, 47-59.
Spectral and geometric bounds on 2-orbifold diffeomorphism type, with Elizabeth Stanhope. Differential Geometry and its Applications, 28 (2010), 12-18.
An isospectral deformation on an infranil-orbifold, with Elizabeth Stanhope. Canadian Mathematical Bulletin, 53 (2010), no. 4, 684-689.
Isospectral metrics and potentials on classical compact simple Lie groups. Michigan Mathematical Journal, 53 (2005), no.2, 305-318.
Isospectral metrics on classical compact simple Lie groups, PhD thesis, May 2003.
Work in Preparation
"Geometric bounds imply finiteness of general orbifold homeomorphism type," with Elizabeth Stanhope and Craig Westerland.
"Riemannian groupoids," with Hellen Colman and Christopher Seaton.
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