Emily B. Dryden
Department of Mathematics, Bucknell University

 

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With Rosa Sena-Dias, I'm organizing a special session on Geometric Spectral Theory as part of the joint meeting of the American, European, and Portuguese mathematical societies. We've posted information about our session here.

   Publications:

  • With Eric Bahuaud and Boris Vertman, Mapping properties of the heat operator on edge manifolds, Mathematische Nachrichten (2014), DOI 10.1002/mana.201300188. Available on the arXiv.
  • With Michiel van den Berg and Thomas Kappeler, Isospectrality and heat content, Bulletin of the London Mathematical Society, 46 (2014), 793-808. Available on the arXiv.
  • With Victor Guillemin and Rosa Sena-Dias, Equivariant inverse spectral theory and toric orbifolds, Advances in Mathematics, 231 (2012), 1271-1290. Available on the arXiv.
  • With Victor Guillemin and Rosa Sena-Dias, Equivariant inverse spectral problems, Spectral Geometry, Proceedings of Symposia in Pure Mathematics, 84 (2012), 155-166.
  • With Victor Guillemin and Rosa Sena-Dias, Hearing Delzant polytopes from the equivariant spectrum, Transactions of the American Mathematical Society, 364 (2012), 887-910. Available on the arXiv.
  • With Bruno Colbois and Ahmad El Soufi, Bounding the eigenvalues of the Laplace-Beltrami operator on compact submanifolds, Bulletin of the London Mathematical Society, 42 (2010), 96-108. Available on the arXiv.
  • With Alexander Strohmaier, Huber's theorem for hyperbolic orbisurfaces, Canadian Mathematical Bulletin, 52 (2009), 66-71. Available on the arXiv.
  • With Carolyn S. Gordon, Sarah J. Greenwald and David L. Webb, Asymptotic expansion of the heat kernel for orbifolds, Michigan Mathematical Journal, 56 (2008), 205-238. Available on the arXiv.
  • With Miguel Abreu, Pedro Freitas, and Leonor Godinho, Hearing the weights of weighted projective planes, Annals of Global Analysis and Geometry, 33 (2008), 373-395. Available on the arXiv.
  • With Bruno Colbois and Ahmad El Soufi, Extremal G-invariant eigenvalues of the Laplacian of G-invariant metrics, Mathematische Zeitschrift, 258 (2008), 29-41. Available on the arXiv. The original publication is available at www.springerlink.com.
  • With Charles R. Johnson and Brenda K. Kroschel, Adjacent edge conditions for the totally nonnegative completion problem, Linear and Multilinear Algebra, 56 (2008), 261-277.
  • With Hugo Parlier, Collars and partitions of hyperbolic cone-surfaces, Geometriae Dedicata, 127 (2007), 139-149. Available on the arXiv.
  • Geometric and Spectral Properties of Compact Riemann Orbisurfaces, Ph.D. Thesis (pdf), Dartmouth College, 2004.

  Preprints:

  • With Diana Macedo and Rosa Sena-Dias, Recovering S1-invariant metrics on S2 from the equivariant spectrum, 15 pp.
  • With Victor Guillemin and Rosa Sena-Dias, Semi-classical weights and equivariant spectral theory, 35 pp., submitted. Available on the arXiv.

  Articles Not Intended for Publication:

  • With Elizabeth Stanhope, In search of a round football.
  • Isospectral finiteness of hyperbolic orbisurfaces, on the arXiv.

  Selected Presentations:

  • "Can you hear the metric on a sphere?" AMS Special Session on Geometry of Manifolds, Singular Spaces, and Groups, Michigan State University, 15 March 2015. Slides
  • "Can you hear the shape of a drum?" Faculty Colloquium, Bucknell University, 19 November 2013. Video
  • "Using 'big' spectral data to recover polytopes," Differential Geometry Seminar, University of Illinois at Urbana-Champaign, 29 October 2013.
  • "Isospectrality and heat content," AMS Special Session on Geometric and Spectral Analysis, Temple University, 13 October 2013.
  • "Beating and heating planar domains," Irish Geometry Conference, Maynooth, Ireland, 21 June 2013.
  • "Constructing polytopes from spectral data," Geometric Aspects of Spectral Theory, Oberwolfach, Germany, 3 July 2012.
  • "Building polygons from spectral data," MAA Special Session on Decoding Geometry, Boston, 5 January 2012. Slides
  • "Eigenvalue (mis)behavior on manifolds," Mathematics Department Colloquium, Lehigh University, 20 October 2010. Slides
  • "Upper bounds for eigenvalues of submanifolds," Topology and Geometric Group Theory Seminar, Cornell University, 31 August 2010.
  • "Are right spherical triangles wrong?" Mathematics Department Colloquium, Bowdoin College, 13 April 2010. Slides
  • "Upper bounds on eigenvalues of the Laplacian: surfaces and beyond," Texas Geometry and Topology Conference, Texas Christian University, 27 February 2010. Slides
  • "Hearing Delzant polygons from the equivariant spectrum," AMS-AWM Special Session on Spectral Problems on Compact Riemannian Manifolds, San Francisco, 15 January 2010. Slides
  • "Upper bounds for eigenvalues of submanifolds," AMS Special Session on Microlocal Analysis and Spectral Theory on Singular Spaces, University Park, Pennsylvania, 25 October 2009.
  • "Orbifolds and isometries," Mellon 23 Workshop on Global Riemannian Geometry, Orbifolds, and Related Topics, Middlebury College, 10 October 2009. Slides
  • "The equivariant heat trace and isospectrality," Spring Meeting of the Swiss Mathematical Society 2009: Geometric Spectral Theory, Neuchâtel, 10 June 2009.
  • "Eigenvalue (mis)behavior on manifolds," Mathematics Department Colloquium, Dartmouth College, 7 May 2009. Slides
  • "Hearing Delzant polygons," Spectral Geometry Seminar, Dartmouth College, 7 May 2009.
  • "Hearing the geometry of orbifolds," Mathematics Department Colloquium, San Francisco State University, 5 November 2008. Slides
  • "The asymptotic expansion of the heat kernel for orbifolds," MSRI Postdoctoral Seminar, 24 October 2008.
  • "Hearing the geometry of orbifolds," Mathematics Department Colloquium, UC Santa Cruz, 7 October 2008. Slides
  • "Listening to orbifolds: What does the Laplace spectrum tell us?" Interdisciplinary Seminar on PDEs and their Applications, Penn State Altoona, 9 May 2008. Slides
  • "Extremal invariant eigenvalues of the Laplacian of invariant metrics," AMS Special Session on Inverse Problems in Geometry, San Diego, 8 January 2008. Slides
  • "Bagels, beach balls and the Poincaré Conjecture," Mathematics Department Colloquium, Susquehanna University, 18 October 2007. Slides
  • "Hearing the weights of weighted projective planes," AMS Special Session on Orbifolds, Symplectic Reduction and Quantization, Oxford, Ohio, 17 March 2007. Slides
  • "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.

last modified: 8 January 2015