Alexander Postnikov

4.2k total citations · 2 hit papers
46 papers, 1.5k citations indexed

About

Alexander Postnikov is a scholar working on Discrete Mathematics and Combinatorics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Alexander Postnikov has authored 46 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 39 papers in Discrete Mathematics and Combinatorics, 30 papers in Geometry and Topology and 23 papers in Algebra and Number Theory. Recurrent topics in Alexander Postnikov's work include Advanced Combinatorial Mathematics (39 papers), Algebraic structures and combinatorial models (23 papers) and Advanced Algebra and Geometry (15 papers). Alexander Postnikov is often cited by papers focused on Advanced Combinatorial Mathematics (39 papers), Algebraic structures and combinatorial models (23 papers) and Advanced Algebra and Geometry (15 papers). Alexander Postnikov collaborates with scholars based in United States, Israel and Canada. Alexander Postnikov's co-authors include Nima Arkani–Hamed, Jaroslav Trnka, Jacob L. Bourjaily, Freddy Cachazo, Richard P. Stanley, Sergey Fomin, Alexander Goncharov, Cristian Lenart, Thomas Lam and Boris Shapiro and has published in prestigious journals such as Journal of High Energy Physics, Transactions of the American Mathematical Society and Advances in Mathematics.

In The Last Decade

Alexander Postnikov

43 papers receiving 1.4k citations

Hit Papers

Permutohedra, Associahedra, and Beyond 2009 2026 2014 2020 2009 2016 50 100 150 200 250
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Permutohedra, Associahedra, and Beyond
    2009 264 citations Alexander Postnikov profile →
  2. Grassmannian Geometry of Scattering Amplitudes
    2016 231 citations Alexander Postnikov et al. profile →

Peers

Alexander Postnikov
Vladimir Retakh United States
Christian Krattenthaler Austria
É. B. Vinberg Russia
Audrey Terras United States
Lauren Williams United States
Corrado De Concini Italy
I. P. Goulden Canada
Ravi Vakil United States
Jean Pierre Serre France
Claudio Procesi Italy
Vladimir Retakh United States
Alexander Postnikov
Citations per year, relative to Alexander Postnikov Alexander Postnikov (= 1×) peers Vladimir Retakh

Countries citing papers authored by Alexander Postnikov

Since Specialization
Citations

This map shows the geographic impact of Alexander Postnikov's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Alexander Postnikov with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alexander Postnikov more than expected).

Fields of papers citing papers by Alexander Postnikov

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alexander Postnikov. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Alexander Postnikov. The network helps show where Alexander Postnikov may publish in the future.

Co-authorship network of co-authors of Alexander Postnikov

This figure shows the co-authorship network connecting the top 25 collaborators of Alexander Postnikov. A scholar is included among the top collaborators of Alexander Postnikov based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Alexander Postnikov. Alexander Postnikov is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Lam, Thomas & Alexander Postnikov. (2024). Polypositroids. Forum of Mathematics Sigma. 12. 2 indexed citations
2.
Postnikov, Alexander, et al.. (2023). Purity and Separation for Oriented Matroids. Memoirs of the American Mathematical Society. 289(1439). 2 indexed citations
3.
Postnikov, Alexander, et al.. (2016). Arrangements of equal minors in the positive Grassmannian. Advances in Mathematics. 300. 788–834. 2 indexed citations
4.
Ardila, Federico & Alexander Postnikov. (2015). Correction to “Combinatorics and geometry of power ideals”: Two counterexamples for power ideals of hyperplane arrangements. Transactions of the American Mathematical Society. 367(5). 3759–3762. 3 indexed citations
5.
Mészáros, Karola & Alexander Postnikov. (2013). Branched Polymers and Hyperplane Arrangements. Discrete & Computational Geometry. 50(1). 22–38. 1 indexed citations
6.
Ardila, Federico & Alexander Postnikov. (2010). Combinatorics and geometry of power ideals. Transactions of the American Mathematical Society. 362(8). 4357–4384. 29 indexed citations
7.
Adin, Ron M., Alexander Postnikov, & Yuval Roichman. (2008). Combinatorial Gelfand models. Journal of Algebra. 320(3). 1311–1325. 18 indexed citations
8.
Kelmans, Alexander & Alexander Postnikov. (2008). Generalizations of Abel’s and Hurwitz’s identities. European Journal of Combinatorics. 29(7). 1535–1543. 2 indexed citations
9.
Postnikov, Alexander, et al.. (2008). Bruhat order, smooth Schubert varieties, and hyperplane arrangements. Journal of Combinatorial Theory Series A. 115(7). 1156–1166. 13 indexed citations
10.
Postnikov, Alexander, David E Speyer, & Lauren Williams. (2008). Matching polytopes, toric geometry, and the totally non-negative Grassmannian. Journal of Algebraic Combinatorics. 30(2). 173–191. 41 indexed citations
11.
Postnikov, Alexander & Richard P. Stanley. (2008). Chains in the Bruhat order. Journal of Algebraic Combinatorics. 29(2). 133–174. 22 indexed citations
12.
Lam, Thomas, Alexander Postnikov, & Pavlo Pylyavskyy. (2005). Schur positivity conjectures: 2 1/2 are no more!. arXiv (Cornell University). 2 indexed citations
13.
Billey, Sara & Alexander Postnikov. (2004). Smoothness of Schubert varieties via patterns in root subsystems. Advances in Applied Mathematics. 34(3). 447–466. 37 indexed citations
14.
Burstein, Alexander, Sylvie Corteel, Alexander Postnikov, & Carla D. Savage. (2002). A lattice path approach to counting partitions with minimum rank t. Discrete Mathematics. 249(1-3). 31–39.
15.
Adin, Ron M., Alexander Postnikov, & Yuval Roichman. (2001). On characters of Weyl groups. Discrete Mathematics. 226(1-3). 355–358. 3 indexed citations
16.
Postnikov, Alexander & Richard P. Stanley. (2000). Deformations of Coxeter Hyperplane Arrangements. Journal of Combinatorial Theory Series A. 91(1-2). 544–597. 65 indexed citations
17.
Adin, Ron M., Alexander Postnikov, & Yuval Roichman. (2000). Hecke Algebra Actions on the Coinvariant Algebra. Journal of Algebra. 233(2). 594–613. 6 indexed citations
18.
Postnikov, Alexander. (1997). Intransitive Trees. Journal of Combinatorial Theory Series A. 79(2). 360–366. 19 indexed citations
19.
Fomin, Sergey, Sergei Gelfand, & Alexander Postnikov. (1997). Quantum Schubert polynomials. Journal of the American Mathematical Society. 10(3). 565–596. 83 indexed citations
20.
Postnikov, Alexander. (1988). Introduction to Analytic Number Theory. Translations of mathematical monographs. 99 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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