2026 Alexander Postnikov: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	36	2602	2320	1072	899	123	7120

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

2602

2320

1072

899

123

7120

Research.com Recognitions

2003 - Fellow of Alfred P. Sloan Foundation

Overview

Alexander Postnikov is affiliated with MIT in the United States and specializes in the field of Mathematics. Their research contributions span various subfields, including Discrete Mathematics and Combinatorics, Geometry and Topology, Artificial Intelligence, Algebra and Number Theory, and Mathematical Physics.

The main topics addressed in their publications include:

Advanced Combinatorial Mathematics
Algebraic structures and combinatorial models
Advanced Algebra and Geometry
Geometric and Algebraic Topology
Nonlinear Waves and Solitons
Advanced Topics in Algebra
Commutative Algebra and Its Applications

Alexander Postnikov's recent papers include the following works:

Higher secondary polytopes and regular plabic graphs (2022), published in Advances in Mathematics
Purity and Separation for Oriented Matroids (2023), published in Memoirs of the American Mathematical Society
Coxeter submodular functions and deformations of Coxeter permutahedra (2020), published in Advances in Mathematics
Trianguloids and triangulations of root polytopes (2023), published in Journal of Combinatorial Theory Series A
Polypositroids (2020), published in arXiv (Cornell University)

Frequent coauthors with whom they have collaborated multiple times include:

Pavel Galashin
Gleb Nenashev
Christian Gaetz
Yibo Gao
Pakawut Jiradilok

Alexander Postnikov's publications have appeared mainly in the following venues:

arXiv (Cornell University)
Advances in Mathematics
Memoirs of the American Mathematical Society
Journal of Combinatorial Theory Series A
Forum of Mathematics Sigma

Among the recognitions received by Alexander Postnikov is the Fellow of the Alfred P. Sloan Foundation award, given in 2003.

Best Publications

Total positivity, Grassmannians, and networks

Alexander Postnikov

886
Citations
Permutohedra, Associahedra, and Beyond

Alexander Postnikov

687
Citations
Scattering Amplitudes and the Positive Grassmannian

Nima Arkani-Hamed;Jacob L. Bourjaily;Freddy Cachazo;Alexander B. Goncharov

619
Citations
Grassmannian Geometry of Scattering Amplitudes

Nima Arkani-Hamed;Jacob L. Bourjaily;Freddy Cachazo;Alexander B. Goncharov

504
Citations
Faces of Generalized Permutohedra

Alexander Postnikov;Victor Reiner;Lauren Williams

500
Citations
PP-wave string interactions from perturbative Yang-Mills theory

Neil R. Constable;Daniel Z. Freedman;Matthew Headrick;Shiraz Minwalla

355
Citations
Trees, parking functions, syzygies, and deformations of monomial ideals

Boris Shapiro;Alexander Postnikov

218
Citations
Deformations of Coxeter Hyperplane Arrangements

Alexander Postnikov;Richard P. Stanley

217
Citations
Quantum Schubert polynomials

Sergey Fomin;Sergei Gelfand;Alexander Postnikov

185
Citations
Affine approach to quantum Schubert calculus

Alexander Postnikov

153
Citations
Alcoved Polytopes, I

Thomas Lam;Alexander Postnikov

153
Citations
Mixed Bruhat Operators and Yang-Baxter Equations for Weyl Groups

Francesco Brenti;Sergey Fomin;Alexander Postnikov

145
Citations
Combinatorics of hypergeometric functions associated with positive roots

Israel M. Gelfand;Mark I. Graev;Alexander Postnikov

124
Citations
Weak separation and plabic graphs

Suho Oh;Alexander Postnikov;David E. Speyer

119
Citations
Affine Weyl Groups in K-Theory and Representation Theory

Cristian Lenart;Alexander Postnikov

119
Citations
Cosmological Polytopes and the Wavefunction of the Universe

Nima Arkani-Hamed;Paolo Benincasa;Alexander Postnikov

111
Citations
On-Shell Structures of MHV Amplitudes Beyond the Planar Limit

Nima Arkani-Hamed;Jacob L. Bourjaily;Freddy Cachazo;Alexander Postnikov

109
Citations
Matching polytopes, toric geometry, and the totally non-negative Grassmannian

Alexander Postnikov;David Speyer;Lauren Williams

107
Citations
Schur positivity and Schur log-concavity

Thomas Lam;Alexander Postnikov;Pavlo Pylyavskyy

96
Citations
Smoothness of Schubert varieties via patterns in root subsystems

Sara Billey;Alexander Postnikov

93
Citations
Alcoved Polytopes II

Thomas Lam;Alexander Postnikov

57
Citations
Weak Separation and Plabic Graphs

Suho Oh;Alex Postnikov;David E Speyer

47
Citations

Frequent Co-Authors

Alexander Goncharov Yale University

Thomas Lam University of Michigan–Ann Arbor

Lauren Williams Harvard University

Igor Pak University of California, Los Angeles

Richard P. Stanley MIT

Sergey Fomin University of Michigan–Ann Arbor

David E Speyer University of Michigan–Ann Arbor

Nima Arkani-Hamed Institute for Advanced Study

Victor Reiner University of Minnesota

Simone Severini University College London

External Links

Personal website of Alexander Postnikov

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