Carolyn S. Gordon | Academic Influence

Carolyn S. Gordon's AcademicInfluence.com Rankings

Carolyn S. Gordon

Mathematics

#1679

World Rank

#2699

Historical Rank

#686

USA Rank

Measure Theory

#3683

World Rank

#4345

Historical Rank

#1061

USA Rank

mathematics Degrees

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Mathematics

Carolyn S. Gordon's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Carolyn S. Gordon Influential?

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According to Wikipedia, Carolyn S. Gordon is a mathematician and Benjamin Cheney Professor of Mathematics at Dartmouth College. She is most well known for giving a negative answer to the question "Can you hear the shape of a drum?" in her work with David Webb and Scott A. Wolpert. She is a Chauvenet Prize winner and a 2010 Noether Lecturer.

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Carolyn S. Gordon's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Isospectral plane domains and surfaces via Riemannian orbifolds (1992) (326)
One cannot hear the shape of a drum (1992) (319)
Kähler and symplectic structures on nilmanifolds (1988) (231)
The spectrum of the Laplacian on Riemannian Heisenberg manifolds. (1986) (120)
Isospectral deformations of compact solvmanifolds (1984) (118)
Isospectral deformations II: Trace formulas, metrics, and potentials (1989) (98)
Isometry groups of Riemannian solvmanifolds (1988) (90)
Homogeneous Riemannian manifolds whose geodesics are orbits (1996) (89)
Isospectral closed Riemannian manifolds which are not locally isometric (1993) (73)
Naturally Reductive Homogeneous Riemannian Manifolds (1985) (64)
Asymptotic expansion of the heat kernel for orbifolds (2008) (63)
Chapter 6 – Survey of Isospectral Manifolds (2000) (59)
Isospectral deformations I: Riemannian structures on two‐step nilspaces (1987) (49)
Continuous families of isospectral Riemannian metrics which are not locally isometric (1997) (47)
New Homogeneous Einstein Metrics of Negative Ricci Curvature (1999) (45)
Kähler structures on compact solvmanifolds (1990) (43)
Riemannian manifolds isospectral on functions but not on 1-forms (1986) (42)
Isospectral deformations of metrics on spheres (2000) (41)
Isospectral and Isoscattering Manifolds: A Survey of Techniques and Examples (2004) (41)
New Developments in Lie Theory and Geometry (2009) (36)
Isospectral deformations of closed Riemannian manifolds with different scalar curvature (1997) (34)
Isospectral deformations of negatively curved Riemannian manifolds with boundary which are not locally isometric (2000) (29)
Riemannian isometry groups containing transitive reductive subgroups (1980) (29)
Isospectral Convex Domains in Euclidean Space (1994) (26)
You Can't Hear the Shape of a Drum (1996) (24)
Geodesic orbit Riemannian structures onRn (2018) (23)
Geometry of the Spectrum (1994) (22)
COMPARISONS OF LAPLACE SPECTRA, LENGTH SPECTRA AND GEODESIC FLOWS OF SOME RIEMANNIAN MANIFOLDS (1994) (21)
Isospectral families of conformally equivalent Riemannian metrics (1990) (19)
Symplectic rigidity of geodesic flows on two-step nilmanifolds (1997) (17)
On isospectral potentials on tori (1991) (15)
Einstein solvmanifolds have maximal symmetry (2015) (14)
You can not hear the mass of a homology class (1989) (14)
Geodesic conjugacies of two-step nilmanifolds. (1998) (14)
You Can’t Hear the Shape of a Manifold (1992) (14)
The inaudible geometry of nilmanifolds (1993) (12)
The fine structure of transitive Riemannian isometry groups. I (1985) (12)
Spectral isolation of naturally reductive metrics on simple Lie groups (2007) (12)
Spectral Geometry on Nilmanifolds (1997) (12)
Isospectral convex domains in the hyperbolic plane (1994) (11)
Transplantation and Jacobians of Sunada isospectral Riemann surfaces (2005) (10)
Inverse spectral results on even dimensional tori (2008) (10)
On isospectral potentials on flat tori II (1995) (10)
Naturally reductive metrics of nonpositive Ricci curvature (1984) (10)
Isospectral potentials and conformally equivalent isospectral metrics on spheres, balls and Lie groups (2002) (9)
When you can’t hear the shape of a manifold (1989) (9)
Corrigendum to “Boundary volume and length spectra of Riemannian manifolds: What the middle degree Hodge spectrum doesn’t reveal” (2001) (8)
Spectral isolation of bi-invariant metrics on compact Lie groups (2007) (7)
Geometric and Spectral Properties of Compact Riemann Orbisurfaces (7)
Transitive riemannian isometry groups with nilpotent radicals (1981) (7)
HOW CAN A DRUM CHANGE SHAPE, WHILE SOUNDING THE SAME?: Part II (1991) (7)
ISOSPECTRAL MANIFOLDS WITH DIFFERENT LOCAL GEOMETRY (2001) (6)
Isospectral Riemannian metrics and potentials (1987) (6)
Spectral geometry of the Steklov problem on orbifolds (2016) (5)
THE FINE STRUCTURE OF TRANSITIVE (2010) (4)
Robin and Steklov isospectral manifolds (2018) (4)
Some recent developments on the Steklov eigenvalue problem (2022) (4)
Geodesic Conjugacy in two-step nilmanifolds (1995) (3)
Continuous families of isophasal scattering manifolds (2002) (3)
Erratum to ''Asymptotic expansion of the heat kernel for orbifolds'' (2017) (3)
Distinguishing isospectral nilmanifolds by bundle laplacians (1997) (2)
Conformal isospectral deformations (1992) (2)
Quantum Equivalent Magnetic Fields that Are Not Classically Equivalent (2010) (1)
Transplantation and isogeny of intermediate Jacobians of compact K\"ahler manifolds (2018) (1)
Semisimple normal subgroups of transitive Riemannian isometry groups (1982) (1)
Local rigidity of naturally reductive metrics on simple Lie groups (2007) (1)
Steklov and Robin isospectral manifolds (2021) (0)
Local Spectral Rigidity of Bi-invariant Metrics on Compact Lie Groups (2007) (0)
Applications of possibly hidden symmetry to Steklov and mixed Steklov problems on surfaces (2023) (0)
Sunada transplantation and isogeny of intermediate Jacobians of compact Kähler manifolds (2020) (0)
CLASSICAL EQUIVALENCE AND QUANTUM EQUIVALENCE OF MAGNETIC FIELDS ON FLAT TORI (2011) (0)
Infinitesimal maximal symmetry and Ricci soliton solvmanifolds (2021) (0)
Boundary volume of a Riemannian manifold: What the heat invariants don't reveal (2001) (0)
New developments in Lie theory and geometry : sixth Workshop on Lie Theory and Geometry, November 13-17, 2007, Cruz Chica, Córdoba, Argentina (2009) (0)
Reductive isometry groups of homogeneous Riemannian manifolds (1980) (0)
You Can ' t Hear the Shape of a Drum Spectral geometry yields information about geometric shapes from the vibration frequencies they produce (2009) (0)
Do the Hodge spectra distinguish orbifolds from manifolds? Part 1 (2021) (0)
Geometry of the spectrum : 1993 Joint Summer Research Conference on Spectral Geometry, July 17-23, 1993, Universiry of Washington, Seattle (1994) (0)

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