2026 Alan Edelman: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	46	1308	1118	581	459	141	20927

Research.com Recognitions

2020 - ACM Fellow For contributions to algorithms and languages for numerical and scientific computing
2018 - IEEE Fellow For contributions to the development of technical-computing languages
2015 - Fellow of the American Mathematical Society For contributions to random matrix theory, numerical linear algebra, high-performance algorithms, and applications.
2011 - SIAM Fellow For contributions to mathematics and industry in the areas of numerical linear algebra, random matrix theory, and parallel computing.
1994 - Fellow of Alfred P. Sloan Foundation

Overview

Alan Edelman is affiliated with MIT in the United States and has contributed extensively to the field of computer science. Their research primarily spans computational theory and mathematics, artificial intelligence, statistical and nonlinear physics, electrical and electronic engineering, and computer networks and communications.

The main research topics covered in their work include matrix theory and algorithms, model reduction and neural networks, advanced optimization algorithms research, inertial sensor and navigation, machine learning in materials science, distributed and parallel computing systems, and advanced topics in algebra.

Frequent venues in which Alan Edelman has published are:

arXiv (Cornell University)
SIAM Journal on Matrix Analysis and Applications
Zenodo (CERN European Organization for Nuclear Research)
Linköping electronic conference proceedings
JuliaCon Proceedings

Notable recent papers include:

"Circuitscape in Julia: High Performance Connectivity Modelling to Support Conservation Decisions" (2020, JuliaCon Proceedings)
"Circuitscape in Julia: Empowering Dynamic Approaches to Connectivity Assessment" (2021, Land)
"Oceananigans.jl: Fast and friendly geophysical fluid dynamics on GPUs" (2020, The Journal of Open Source Software)
"Universal Differential Equations for Scientific Machine Learning" (2020, arXiv (Cornell University))
"Uncertainty Quantification of Ocean Parameterizations: Application to the K-Profile-Parameterization for Penetrative Convection" (2020, Journal of Advances in Modeling Earth Systems)

Frequent coauthors in their body of work include:

Christopher Rackauckas
Viral B. Shah
Valentin Churavy
Sungwoo Jeong
Ranjan Anantharaman

Alan Edelman has received several recognitions, including:

ACM Fellow (2020) for contributions to algorithms and languages for numerical and scientific computing
IEEE Fellow (2018) for contributions to the development of technical-computing languages
Fellow of the American Mathematical Society (2015) for contributions to random matrix theory, numerical linear algebra, high-performance algorithms, and applications
SIAM Fellow (2011) for contributions to mathematics and industry in numerical linear algebra, random matrix theory, and parallel computing
Fellow of Alfred P. Sloan Foundation (1994)

Best Publications

Julia: A Fresh Approach to Numerical Computing

Jeff Bezanson;Alan Edelman;Stefan Karpinski;Viral B. Shah

6615
Citations
The Geometry of Algorithms with Orthogonality Constraints

Alan Edelman;Tomás A. Arias;Steven T. Smith

3301
Citations
Eigenvalues and condition numbers of random matrices

Alan Edelman

1623
Citations
Matrix models for beta ensembles

Ioana Dumitriu;Alan Edelman

802
Citations
Universal Differential Equations for Scientific Machine Learning

Christopher Rackauckas;Yingbo Ma;Julius Martensen;Collin Warner

658
Citations
How many zeros of a random polynomial are real

Alan Edelman;Eric Kostlan

641
Citations
Random matrix theory

Alan Edelman;N. Raj Rao

632
Citations
PetaBricks: a language and compiler for algorithmic choice

Jason Ansel;Cy Chan;Yee Lok Wong;Marek Olszewski

503
Citations
Sample Eigenvalue Based Detection of High-Dimensional Signals in White Noise Using Relatively Few Samples

R.R. Nadakuditi;A. Edelman

349
Citations
Modeling and rendering of weathered stone

Julie Dorsey;Alan Edelman;Henrik Wann Jensen;Justin Legakis

348
Citations
Polynomial roots from companion matrix eigenvalues

Alan Edelman;H. Murakami

316
Citations
The Probability that a Random Real Gaussian Matrix haskReal Eigenvalues, Related Distributions, and the Circular Law

Alan Edelman

293
Citations
The efficient evaluation of the hypergeometric function of a matrix argument

Plamen Koev;Alan Edelman

285
Citations
Mesh generation for implicit geometries

Per-Olof Persson;Alan Edelman;Gilbert Strang

273
Citations
How many eigenvalues of a random matrix are real

Alan Edelman;Eric Kostlan;Michael Shub

265
Citations
Nonnegativity-, monotonicity-, or convexity-preserving cubic and quintic Hermite interpolation

Randall L. Dougherty;Alan S. Edelman;James M. Hyman

223
Citations
A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part I: Versal Deformations

Alan Edelman;Erik Elmroth;Bo Kågström

189
Citations
Language and compiler support for auto-tuning variable-accuracy algorithms

Jason Ansel;Yee Lok Wong;Cy Chan;Marek Olszewski

150
Citations
From Random Matrices to Stochastic Operators

Alan Edelman;Brian D. Sutton

148
Citations
Circuitscape in Julia: High Performance Connectivity Modelling to Support Conservation Decisions

Ranjan Anantharaman;Kimberly Hall;Viral B. Shah;Alan Edelman

130
Citations
Julia: A Fresh Approach to Numerical Computing

Stefan Karpinski;Viral B. Shah;Jeffrey Werner Bezanson;Alan Edelman

24
Citations
Sample eigenvalue based detection of high dimensional signals in white noise using relatively few samples

N. Raj Rao;Alan Edelman

1
Citations

Frequent Co-Authors

Gilbert Strang MIT

Jeremy Kepner MIT

Troy Van Voorhis MIT

Charles A. Micchelli University at Albany, State University of New York

Saman Amarasinghe MIT

Avinatan Hassidim Bar-Ilan University

Bo Kågström Umeå University

Sivan Toledo Tel Aviv University

Erik Elmroth Umeå University

Jill P. Mesirov University of California, San Diego

External Links

Wikipedia of Alan Edelman Personal website of Alan Edelman Google Scholar page

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