2026 Steve Zelditch: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	National Ranking	Publications	Citations
Mathematics	52	984	454	236	8136

Discipline name

D-Index

World Ranking

National Ranking

Publications

Citations

Mathematics

984

454

236

8136

Research.com Recognitions

2013 - Fellow of the American Mathematical Society

Overview

Steve Zelditch was affiliated with Northwestern University in the United States. Their research focused primarily on mathematics, with significant contributions in subfields such as geometry and topology, applied mathematics, and mathematical physics. Other areas included computational theory and mathematics, as well as statistical and nonlinear physics.

Their work spanned several main topics, including:

Geometry and complex manifolds
Spectral theory in mathematical physics
Geometric analysis and curvature flows
Analytic and geometric function theory
Advanced mathematical modeling in engineering
Quantum chaos and dynamical systems
Numerical methods in inverse problems

Steve Zelditch authored numerous papers published in various scientific journals. Some recent publications included:

"One can hear the shape of ellipses of small eccentricity" (2022), Annals of Mathematics
"A Gutzwiller trace formula for stationary space-times" (2020), Advances in Mathematics
"Spectral asymptotics on stationary space-times" (2020), Reviews in Mathematical Physics
"Boundedness of the number of nodal domains for eigenfunctions of generic Kaluza-Klein 3-folds" (2020), Annales de l'institut Fourier
"Nodal intersections and geometric control" (2021), Journal of Differential Geometry

The frequent co-authors of Zelditch included these researchers:

Hamid Hezari
Emmett L. Wyman
Yakun Xi
Boris Hanin
Alexander Strohmaier

Steve Zelditch's works were often published in venues such as:

arXiv (Cornell University)
Journal of Spectral Theory
Pure and Applied Mathematics Quarterly
Annals of Mathematics
Advances in Mathematics

Among career recognitions, Zelditch was named a Fellow of the American Mathematical Society in 2013.

Best Publications

Uniform distribution of eigenfunctions on compact hyperbolic surfaces

Steven Zelditch

713
Citations
Szegö Kernels and a Theorem of Tian

Steve Zelditch

646
Citations
Distribution of zeros of random and quantum chaotic sections of positive line bundles

Bernard Shiffman;Steve Zelditch

300
Citations
UNIVERSALITY AND SCALING OF CORRELATIONS BETWEEN ZEROS ON COMPLEX MANIFOLDS

Pavel Bleher;Bernard Shiffman;Steve Zelditch

228
Citations
Ergodicity of eigenfunctions for ergodic billiards

Steven Zelditch;Maciej Zworski

213
Citations
Riemannian manifolds with maximal eigenfunction growth

Christopher D. Sogge;Steve Zelditch

160
Citations
Asymptotics of almost holomorphic sections of ample line bundles on symplectic manifolds

Bernard Shiffman;Steve Zelditch

150
Citations
Critical Points and Supersymmetric Vacua I

Michael R. Douglas;Bernard Shiffman;Steve Zelditch

148
Citations
Index and dynamics of quantized contact transformations

Steven Zelditch

127
Citations
Spectral determination of analytic bi-axisymmetric plane domains

Steve Zelditch

119
Citations
Number variance of random zeros on complex manifolds

Bernard Shiffman;Steve Zelditch

106
Citations
Reconstruction of singularities for solutions of Schrödinger's equation

Steven Morris Zelditch

102
Citations
QUANTUM ERGODICITY OF C* DYNAMICAL SYSTEMS

Steven Zelditch

101
Citations
The inverse spectral problem for surfaces of revolution

Steve Zelditch

99
Citations
Quantum ergodicity on the sphere

Steven Zelditch

98
Citations
Critical points and supersymmetric vacua

Michael R. Douglas;Bernard Shiffman;Steve Zelditch

98
Citations
On the rate of quantum ergodicity. I: Upper bounds

Steven Zelditch

93
Citations
Inverse spectral problem for analytic domains, II: ℤ2-symmetric domains

Steve Zelditch

92
Citations
Determinants of Laplacians in exterior domains

Andrew Hassell;Steve Zelditch

91
Citations
Quantum ergodicity of boundary values of eigenfunctions

Andrew Hassell;Steve Zelditch

88
Citations
Eigenfunctions of the Laplacian on a Riemannian Manifold

Steven Zelditch

44
Citations
Eigenfunctions and Nodal sets

Steven Morris Zelditch

35
Citations
Number Variance of Random Zeros on Complex Manifolds, II: Smooth Statistics

Bernard Shiffman;Steve Zelditch

25
Citations

Frequent Co-Authors

Bernard Shiffman Johns Hopkins University

Christopher D. Sogge Johns Hopkins University

Pavel Bleher Indiana University – Purdue University Indianapolis

Robert P. H. Chang Northwestern University

Ofer Zeitouni Weizmann Institute of Science

Maciej Zworski University of California, Berkeley

Jens Marklof University of Bristol

Alan Weinstein University of California, Berkeley

External Links

Wikipedia of Steve Zelditch Personal website of Steve Zelditch Google Scholar page

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