CUNY Geometric Analysis Conference

The Laplace and Length Spectra

February 3-5, 2006

**Participants, Reprints and Preprints: **

**Cristina Abreu-Suzuki, SUNY Old Westbury**

suzukic at oldwestbury.edu**Mikhail Alyurov, Columbia University (student)***Aloff-Wallach Spaces: Volumes, Curvatures, Injectivity Radii"*preprint**Sergei Artamoshin, CUNY Graduate Center (student)**

artasergen (at) yahoo.com**Alina Badus, University of Pennsylvania (student)****Lewis Bowen, Indiana University***"A Generalization of the Prime Geodesic Theorem to Counting Conjugacy Classes of Free Subgroups of a Hyperbolic Group" preprint***Andrew Bulawa, SUNY at Stony Brook (student)**

abulawa@math.sunysb.edu**Peter Buser, EPF Lausanne***Talk: TBA***Maria Calle, Courant Institute (student)**

calle (at) cims.nyu.edu**Xiaodong Cao, Columbia University***"Eigenvalues of (-\Delta +R/2) on Manifolds with Nonnegative Curvature Operator"*preprint*"Compact Gradient Shrinking Ricci Solitons with Positive Curvature Operator."*preprint**Isaac Chavel, CUNY Graduate Center and City College of CUNY**

*"Bottleneck Constants of Finite Graphs" preprint**"The Laplacian on Riemannian manifolds", Spectral Theory and Geometry, ed. E.B. Davies & Y. Safarov, London Math. Soc. Lecture Note Ser., 273(1999), Cambridge U. Press, Cambridge, 30--75*survey article*"Eigenvalues in Riemannian Geometry"*(with chapter by B. Randol and appendix by J. Dodziuk), Pure and Applied Mathematics 115, Academic Press, Orlando, 1984 book**Szu-yu Sophie Chen, Princeton University****Chokri Cherif, BMCC CUNY,**

ccherif@bmcc.cuny.edu**Christopher Croke, University of Pennsylvania,**

*Talk: "Some rigidity and stability results of sharp isoperimetric inequalities"*

*"Lengths and Volumes in Riemannian Manifolds"*with Nurlan S. Dairbekov,

Duke Math. J. 125 (2004), no. 1, 1--14. preprint.*Two related survey articles are links 37 and 39 on his paper list.***Józef Dodziuk, CUNY Graduate Center and Queens College***"Kato's inequality and asymptotic spectral properties for discrete magnetic Laplacians"*(with M. Varghese), to appear in ``Ubiquitous Heat Kernel'', Contemporary Mathematics, (2006), preprint.**Alexandre Engoulatov, Universite Paris-Sud XI-Orsay (student)**

Alexandre.Engoulatov at math.u-psud.fr*"A universal bound on the gradient of logarithm of the heat kernel for manifolds with bounded Ricci curvature." preprint***Stephen A. Fulling, Texas A& M University**

*"Coincidence of length spectra does not imply isospectrality", (with Peter Kuchment), Inverse Problems 21 (2005) 1391-1395, eprint.*

"Global and local vacuum energy and closed orbit theory", in Proceedings of the 6th Workshop on Quantum Field Theory under the Influence of External Conditions (Norman, OK, Sept. 2003), 2004, pp. 166-174, eprint**Hubert Goldschmidt, Columbia University***"Infinitesimal Isospectral Deformations of the Grassmannian of $3$-planes in $\R^6$*hg at math.columbia.edu**Carolyn Gordon, Dartmouth College,***Talk: "The torus action method for isospectrality in the compact and noncompact settings"**"Continuous Families of Isophasal Scattering Manifolds" (with P. Perry) eprint*

"Isospectral and Isoscattering Manifolds: A Survey of Examples" (with P. Perry and D. Schueth) reprint**Ruth Gornet, University of Texas at Arlington***Talk: "Laplace and Length Spectra and the Wave Invariants on Riemannian Two-Step Nilmanifolds"**"Riemannian Nilmanifolds, the Wave Trace, and the Length Spectrum" preprint*reprint

"Riemannian nilmanifolds and the trace formula". Trans. Amer. Math. Soc. 357 (2005), no. 11, 4445--4479 eprint

"The length spectrum of Riemannian two-step nilmanifolds" (with Maura B. Mast) Ann. Sci. Ecole Norm. Sup. (4) 33 (2000), no. 2, 181--209.**Nels Hanson, Columbia University Student**

nhandson (at) math.columbia.edu**Chenxu He, University of Pennsylvania (student)**

hech AT math.upenn.edu**Pilar Herreros, University of Pennsylvania (student)**pherrero (at) math.upenn.edu**Nancy Hingston, The College of New Jersey, Institute for Advanced Study***Talk: "The Loop Product and Closed Geodesics"*

*"Subharmonic Solutions of Hamiltonian Equations on Tori" preprint***David A. Hoffman, Stanford University (U. Mass Emeritus)**

david (at) math.stanford.edu-
**Chris Judge, Indiana University**

*"Small Eigenvalues and maximal laminations on complete surfaces of negative curvature"preprint* -
**Nikos Kalogeropoulos, Borough of Manhattan Community College, CUNY**

nkalogeropoulos (at) bmcc.cuny.edu **Leon Karp, CUNY Graduate Center and Lehman College****Neil N. Katz, City Tech of CUNY,**

nkatz (at) citytech.cuny.edu**Mahta Khosravi, Institute of Advanced Study***Talk: "Spectral Asymptotics of Heisenberg Manifolds"*

*Doctoral Thesis completed under John Toth's supervision, thesis.pdf**Two other related articles are here***Motoko Kotani, Tohoku University***Talk:**"Lipschitz Continuity of the Spectra of the Magnetic Transition Operators on a Crystal Lattice" preprint***Eran Makover, Central Connecticut State University***"The length of closed geodesics on random Riemann Surfaces". preprint***Maura Mast, University of Massachusetts Boston***"Minimal marked length spectrum of Riemannian two-step nilmanifolds" (with Ruth Gornet) Michigan Mathematics Journal, 52, (2004), no. 3, 683--716***Michael Munn, CUNY Graduate Center (student)**

mmunn at gc.cuny.edu**Alexander Nabutovsky, U. Toronto and Penn State***Talk: "Curvature-free estimates for minimal surfaces and geodesics between points".**"Lengths of geodesics between two points on a Riemannian manifold" (with Regina Rotman), preprint***Robert Neel, Columbia University***"Analysis of the cut locus via the heat kernel" (with D. Stroock), Surveys in Differential Geometry, Vol. 9, International Press, Boston (2004), 337-349. preprint***Efua Okoh, CUNY Graduate Center (student)**

EOkoh at gc.cuny.edu**Yiannis Petridis, CUNY Graduate Center and Lehman College***"Equidistribution of geodesics on homology classes and analogues for free groups" (with M. S. Risager), preprint**"The distribution of values of the Poincare pairing for hyperbolic Riemann surfaces" (with M. S. Risager), J. Reine Angew. Math. 579 (2005) 159-173. preprint***Iosif Polterovich, U. Montreal**

*Talk: "The spectral function and the remainder in local Weyl's law: View from below"**"Estimates from below for the spectral function and for the remainder in local Weyl's law" (with Dmitry Jakobson) preprint*

" Lower bounds for the spectral function and the remainder in local Weyl's law on manifolds", (with Dmitry Jakobson) Electron. Res. Announc. Amer. Math. Soc. 11 (2005), 71-77. eprint**Lucio MG Prado, BMCC - CUNY,**

lprado (at) gc.cuny.edu**Emily Proctor, Middlebury College,***"Isospectral Metrics and Potentials on Classical Compact Simple Lie Groups" Michigan Mathematical Journal, 2005. eprints***Maria Psarelli,**Bronx Community College of CUNY

maria.psarelli@bcc.cuny.edu**Burton Randol, CUNY Graduate Center***"Approximation of Measures on S^n by discrete Measures" (with Marina Nechayeva) preprint***John Reynolds, spouse (does not pay)****Morten S. Risager, University of Aarhus***"A prime geodesic analogue of the twin prime conjecture" preprint*

"Equidistribution of geodesics on homology classes and analogues for free groups" (with Y. N. Petridis), preprint**Frederic Rochon, SUNY Stony Brook**

rochon (at) math.sunysb.edu**Regina Rotman, Penn State and U. Toronto***Talk: "The length of a shortest periodic geodesic and a shortest geodesic loop at a point"**"The length of a shortest closed geodesic on a two-dimensional sphere and coverings by metric balls." Geom. Dedicata 110 (2005), 143--157. preprint*

"The length of a shortest geodesic loop at a point" preprint "The length of a shortest geodesic net on a closed Riemannian manifold" preprint**Julie Rowlett, Stanford University (student)**

julimari (at) math.stanford.edu**Peter Sarnak, Princeton University***Talk: "Reciprocal geodesics on the modular surface"**Letter to J. Davis about Reciprocal Geodesics*the letter**Natasa Sesum, Columbia University**

*"Properties of the solutions of the conjugate heat equation (math.DG/0601415)*

The compactness result for K\"ahler Ricci solitons (math.DG/0504526)**Leslie Sibner, Polytechnic University****Robert Sibner, CUNY Graduate Center and Brooklyn College****Christina Sormani, CUNY Graduate Center and Lehman College***"The Covering Spectrum of a Compact Length Space"*(with Guofang Wei), Journal of Differential Geometry 67 (2004) 35-77, reprint.pdf.*"The Length Spectrum and Convergence"*, eprint**Elizabeth Stanhope Lewis and Clark College,**

*"One cannot hear orbifold isotropy type," (with Naveed Shams and David L. Webb. accepted by Archiv der Mathematik preprint*

"Spectral bounds on orbifold isotropy," Annals of Global Analysis and Geometry 27 (2005), no. 4, 355-375. eprint**Jean Steiner, Courant Institute of Mathematical Sciences**

*"Spectral Invariants and playing Hide--And--Seek on surfaces " (with Peter Doyle)*preprint*"Blowing bubbles on the torus" (with Peter Doyle)*preprint**Toshikazu Sunada, Meiji University***Talk: ``Perturbation techniques in geometry"***Craig J. Sutton, Dartmouth University***"Isospectral simply connected homogeneous spaces and the spectral rigidity of group actions"*, Comment. Math. Helv. 77 (2002), 701-717. eprint**Zoltan I. Szabo, CUNY Graduate Center and Lehman College**abstract*Talk: "Laplace Spectra on Open and Compact Zeeman Manifolds"**"A cornucopia of isospectral pairs of metrics on spheres with different local geometries"*Annals of Mathematics 161, no 1 (2005), 343-395. reprint

*"Theory of Zones on Zeeman manifolds: A new approach to the infinities of QED"*preprint**Andras Vasy, Stanford University and MIT***Talk: "Scattering theory on symmetric spaces and N-body scattering".*-
**Howie Weiss, Penn State Univ**

*"Free Energy as a Dynamical Invariant (or Can You Hear the Shape of a Potential?)"*(with M. Pollicott) Comm. Math. Physics preprint

*"Free Energy as a Geometric Invariant"*(with Mark Pollicott) Comm. of Math. Physics, preprint **Stefan Wenger, Courant Institute of Mathematical Sciences, NYU**

*"Isoperimetric inequalities of Euclidean type in metric spaces" Geom. Funct. Anal. 15 (2005), no. 2, 534--554. reprint***Svetoslav Zahariev, CUNY Graduate Center (student)**

szahariev (at) gc.cuny.edu

Participants may submit links to their related preprints when they register.