2026 Mark Goresky: Mathematics Researcher – H-Index, Publications & Awards

Research.com Recognitions

2013 - Fellow of the American Mathematical Society
2002 - Steele Prize for Seminal Contribution to Research
1981 - Fellow of Alfred P. Sloan Foundation

Overview

Mark Goresky is affiliated with the Institute for Advanced Study in the United States. Their research spans several areas of mathematics, focusing particularly on geometry and topology, mathematical physics, statistics and probability, statistical and nonlinear physics, and discrete mathematics and combinatorics.

The main fields of study covered by their work include:

Mathematics

The subfields within mathematics they have contributed to are:

Geometry and Topology
Mathematical Physics
Statistics and Probability
Statistical and Nonlinear Physics
Discrete Mathematics and Combinatorics

Research topics addressed by Mark Goresky include:

Graph theory and applications
Random Matrices and Applications
Spectral Theory in Mathematical Physics
Stochastic processes and statistical mechanics
Complex Network Analysis Techniques
Algebraic structures and combinatorial models
Advanced Combinatorial Mathematics

Mark Goresky has published papers in several venues, frequently contributing to:

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

Their recent papers include:

"Morse theory for discrete magnetic operators and nodal count distribution for graphs" (2023, Journal of Spectral Theory)
"Nodal count for a random signing of a graph with disjoint cycles" (2024, arXiv (Cornell University))
"Lecture notes on sheaves and perverse sheaves" (2021, arXiv (Cornell University))
"Topological aspects of Boolean functions" (2022, arXiv (Cornell University))
"Morse theory for discrete magnetic operators and nodal count distribution for graphs" (2022, arXiv (Cornell University))

Frequent co-authors of Mark Goresky include:

Lior Alon
Anders Björner
Robert MacPherson

Among their professional recognitions are:

Fellow of the American Mathematical Society (2013)
Steele Prize for Seminal Contribution to Research (2002)
Fellow of Alfred P. Sloan Foundation (1981)

Best Publications

Stratified Morse theory

Mark Goresky;Robert MacPherson

1619
Citations
INTERSECTION HOMOLOGY THEORY

Mark Goresky;Robert MacPherson

860
Citations
Equivariant cohomology, Koszul duality, and the localization theorem

Mark Goresky;Robert Kottwitz;Robert MacPherson

853
Citations
Intersection homology II

Mark Goresky;Robert MacPherson

810
Citations
Feedback shift registers, 2-adic span, and combiners with memory

Andrew Klapper;Mark Goresky

328
Citations
Fibonacci and Galois representations of feedback-with-carry shift registers

M. Goresky;A.M. Klapper

248
Citations
2-Adic Shift Registers

Andrew Klapper;Mark Goresky

196
Citations
L2-cohomology and intersection homology of singular algebraic-varieties

J Cheeger;M Goresky;R MacPherson

185
Citations
Algebraic Shift Register Sequences

Mark Goresky;Andrew Klapper

128
Citations
Cryptoanalysis Based on 2-Adic Rational Approximation

Andrew Klapper;Mark Goresky

108
Citations
Arithmetic crosscorrelations of feedback with carry shift register sequences

M. Goresky;A. Klapper

103
Citations
Homology of affine Springer fibers in the unramified case

Mark Goresky;Robert Kottwitz;Robert MacPherson

102
Citations
Cascaded GMW sequences

A. Klapper;A.H. Chan;M. Goresky

91
Citations
Loop products and closed geodesics

Mark Goresky;Nancy Hingston

91
Citations
Discrete series characters and the Lefschetz formula for Hecke operators

Mark Goresky;Robert Kottwitz;Robert MacPherson

88
Citations
Purity of equivalued affine Springer fibers

Mark Goresky;Robert Kottwitz;Robert MacPherson

84
Citations
Linking pairings on singular spaces.

Mark Goresky;Mark Goresky;Paul Siegel;Paul Siegel

79
Citations
Whitney stratified chains and cochains

R. Mark Goresky

74
Citations
Feedback registers based on ramified extensions of the 2-adic numbers

Mark Goresky;Andrew Klapper;Andrew Klapper

64
Citations
On the Spectrum of the Equivariant Cohomology Ring

Mark Goresky;Robert MacPherson

28
Citations

Frequent Co-Authors

Paul H. Siegel University of California, San Diego

Claudio Procesi Sapienza University of Rome

Igor E. Shparlinski University of New South Wales

External Links

Personal website of Mark Goresky

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