Preprints and Publications:

• With Bruno Colbois and Ahmad El Soufi, Spectrum invariant by isometries, preprint.

• With Carolyn S. Gordon, Sarah J. Greenwald, David L. Webb and Shunhui Zhu, Asymptotic expansion of the heat kernel for orbifolds, preprint.

• Isospectral Finiteness of Hyperbolic Orbisurfaces, on the arXiv, preprint.

• With Alexander Strohmaier, Huber's theorem for hyperbolic orbisurfaces, on the arXiv, submitted.

• With Hugo Parlier, Collars and partitions of hyperbolic two-dimensional cone-manifolds, on the arXiv, submitted.

• With Charles R. Johnson and Brenda K. Kroschel, Adjacent Edge Conditions for the Totally Nonnegative Completion Problem (pdf), Linear and Multilinear Algebra, to appear.

• Geometric and Spectral Properties of Compact Riemann Orbisurfaces, Ph.D. Thesis (pdf), Dartmouth College, 2004.

  Selected Presentations:

• "Using heat invariants to hear the geometry of orbifolds," Geometria em Lisboa, CAMGSD/Instituto Superior Técnico, 7 March 2006. Slides

• "Upper bounds for invariant eigenvalues of the Laplacian," Seminário de Física-Matemática, Universidade de Lisboa, 10 February 2006. Slides

• "The Laplace spectrum reveals (some of) its secrets," Research Seminar, Centre Interfacultaire Bernoulli, Lausanne, Switzerland, 31 August 2005.

• "Can one hear the shape of a ...?" Mathematics Department Colloquium, Scripps College, 16 February 2005. Slides

• "Triangles, Tilings, and Tori," Mathematics Department Colloquium, Middlebury College, 8 February 2005.

• "Listening to Orbifolds: What does the Laplace spectrum tell us?" Mathematics Department Colloquium, Bucknell University, 1 February 2005. Slides

• "Inverse Spectral Problems on Hyperbolic Orbisurfaces," Analysis Seminar, McGill University, 28 January 2005.

• "Collars and Partitions of Hyperbolic Cone-Surfaces," AMS Special Session on Inverse Spectral Geometry, Atlanta, 8 January 2005. Slides

• "Isospectrality of Compact Riemann Orbisurfaces," Recent developments in spectral geometry, Blossin, Germany, 2 November 2004. Slides

• "Geodesic Behavior on Hyperbolic Cone-Surfaces," Séminaire CIRGET, Université du Québec à Montréal, 10 September 2004.

• "Geometric and Spectral Properties of Compact Riemann Orbisurfaces," Thesis Defense, Dartmouth College, 13 May 2004. Slides

• "Bounding the Size of Isospectral Sets of Orbifolds," Analysis Seminar, McGill University, 27 February 2004. Slides

• "Isospectrality of Two-Dimensional Riemannian Orbifolds," Workshop on Inverse Spectral Problems, Dartmouth College, 21 November 2003. Slides

• "Inverse Spectral Problems on Riemannian Orbifolds," Union College Mathematics Conference, Differential Geometry Session, 8 November 2003. Slides

• "Isospectrality of Orbifolds," École Polytechnique Fédérale de Lausanne, Switzerland, Geometry Seminar, 25 June 2003.