2026 Michael D. Perlman: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	32	3147	2803	1261	1051	117	5544

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

3147

2803

1261

1051

117

5544

Overview

Michael D. Perlman is a researcher affiliated with the University of Washington in the United States, specializing in mathematics. Their work primarily spans multiple interconnected fields within mathematics, with a significant focus on geometry, algebra, and combinatorics.

The main fields of study covered by their research include:

Mathematics

Within this broad domain, Perlman has contributed extensively to several subfields:

Geometry and Topology
Algebra and Number Theory
Discrete Mathematics and Combinatorics
Molecular Biology
Mathematical Physics

Their research addresses a variety of advanced topics, notably:

Algebraic structures and combinatorial models
Advanced Combinatorial Mathematics
Advanced Topics in Algebra
Commutative Algebra and Its Applications
Algebraic Geometry and Number Theory
Advanced Algebra and Geometry
Genomics and Chromatin Dynamics

Michael D. Perlman has published in a number of academic venues, with frequent contributions to:

arXiv (Cornell University)
OPAL (Open@LaTrobe) (La Trobe University)
Nucleus
Advances in Mathematics
Journal of Commutative Algebra

Their recent papers include:

"4DNvestigator: time series genomic data analysis toolbox," 2021, Nucleus
"4DNvestigator: time series genomic data analysis toolbox," 2021, OPAL (Open@LaTrobe) (La Trobe University)
"Relations between the 2 × 2 minors of a generic matrix," 2021, Advances in Mathematics
"Regularity and cohomology of Pfaffian thickenings," 2021, Journal of Commutative Algebra
"Equivariant resolutions over Veronese rings," 2023, Journal of the London Mathematical Society

Frequent collaborators in their research include:

Stephen Lindsly
Can Chen
Sijia Liu
Scott Ronquist
Samuel Dilworth

Best Publications

A characterization of Markov equivalence classes for acyclic digraphs

Steen A. Andersson;David B. Madigan;Michael D. Perlman

603
Citations
One-Sided Testing Problems in Multivariate Analysis

Michael D. Perlman

425
Citations
Model selection for Gaussian concentration graphs

Mathias Drton;Michael D. Perlman

252
Citations
Alternative Markov Properties for Chain Graphs

Steen A. Andersson;David Madigan;Michael D. Perlman

248
Citations
Bayesian model averaging and model selection for markov equivalence classes of acyclic digraphs

David Madigan;Steen A. Andersson;Michael D. Perlman;Chris T. Volinsky

178
Citations
Multiple Testing and Error Control in Gaussian Graphical Model Selection

Mathias Drton;Michael D. Perlman

168
Citations
A SINful approach to Gaussian graphical model selection

Mathias Drton;Michael D. Perlman

155
Citations
The Non-Singularity of Generalized Sample Covariance Matrices

Morris L. Eaton;Michael D. Perlman

153
Citations
The Emperor’s new tests

Michael D. Perlman;Lang Wu

150
Citations
Inequalitites on the probability content of convex regions for elliptically contoured distributions

S. Das Gupta;M. L. Eaton;I. Olkin;M. Perlman

133
Citations
Reflection Groups, Generalized Schur Functions, and the Geometry of Majorization

Morris L. Eaton;Michael D. Perlman

130
Citations
Power of the Noncentral F-Test: Effect of Additional Variates on Hotelling's T2-Test

Unknown

129
Citations
On the Markov Equivalence of Chain Graphs, Undirected Graphs, and Acyclic Digraphs

Steen A. Andersson;David Madigan;Michael D. Perlman

109
Citations
Association of Normal Random Variables and Slepian's Inequality

Kumar Jogdeo;Michael D Perlman;Loren D Pitt

97
Citations
Contributions to Probability and Statistics

Leon Jay Gleser;Michael D. Perlman;S. James Press;Allan R. Sampson

97
Citations
Unbiasedness of the Likelihood Ratio Tests for Equality of Several Covariance Matrices and Equality of Several Multivariate Normal Populations

Michael D. Perlman

96
Citations
Jensen's inequality for a convex vector-valued function on an infinite-dimensional space

Unknown

96
Citations
On the strong consistency of approximate maximum likelihood estimators

Michael D. Perlman

90
Citations
Lattice Models for Conditional Independence in a Multivariate Normal Distribution

Steen Arne Andersson;Michael D. Perlman

79
Citations
Unbiasedness of Invariant Tests for Manova and Other Multivariate Problems

Michael D. Perlman;Ingram Olkin

77
Citations
The size distribution for Markov equivalence classes of acyclic digraph models

Steven B. Gillispie;Michael D. Perlman

76
Citations
Enumerating Markov Equivalence Classes of Acyclic Digraph Models

Steven B. Gillispie;Michael D. Perlman

1
Citations

Frequent Co-Authors

David Madigan Northeastern University

Mathias Drton Technical University of Munich

Mark Groudine Fred Hutchinson Cancer Research Center

Charles Kooperberg Fred Hutchinson Cancer Research Center

Sijia Liu Michigan State University

John A. Hansen Fred Hutchinson Cancer Research Center

Paul J. Martin Fred Hutchinson Cancer Research Center

Jon A. Wellner University of Washington

Kathryn Roeder Carnegie Mellon University

Charles Fefferman Princeton University

External Links

Personal website of Michael D. Perlman

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