- Home
- Best Scientists - Mathematics
- Alexander Postnikov

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
34
Citations
6,024
119
World Ranking
2010
National Ranking
860

2003 - Fellow of Alfred P. Sloan Foundation

- Combinatorics
- Algebra
- Geometry

Alexander Postnikov spends much of his time researching Combinatorics, Grassmannian, Pure mathematics, Schubert polynomial and Schubert variety. Combinatorics is closely attributed to Order in his research. His studies in Grassmannian integrate themes in fields like Amplituhedron and Quantum mechanics.

His work deals with themes such as Invariant measure, Gravitational singularity, Yangian and Field theory, which intersect with Amplituhedron. The study incorporates disciplines such as Discrete mathematics and Monomial ideal in addition to Pure mathematics. In his work, Ring and Weyl group is strongly intertwined with Cohomology, which is a subfield of Schubert polynomial.

- Total positivity, Grassmannians, and networks (482 citations)
- Scattering Amplitudes and the Positive Grassmannian (387 citations)
- Permutohedra, Associahedra, and Beyond (345 citations)

Alexander Postnikov mainly focuses on Combinatorics, Pure mathematics, Polytope, Grassmannian and Discrete mathematics. His Combinatorics study typically links adjacent topics like Polynomial. As part of the same scientific family, he usually focuses on Pure mathematics, concentrating on Algebra and intersecting with Algebra over a field, Symmetric group and Symmetric function.

His Polytope research includes themes of Narayana number, Face and Descent. Alexander Postnikov interconnects Bijection, Gravitational singularity, Amplituhedron, Scattering amplitude and Cluster algebra in the investigation of issues within Grassmannian. His Combinatorial proof, Geometric combinatorics and Enumeration study, which is part of a larger body of work in Discrete mathematics, is frequently linked to Polyhedral combinatorics, bridging the gap between disciplines.

- Combinatorics (65.32%)
- Pure mathematics (23.39%)
- Polytope (20.97%)

- Combinatorics (65.32%)
- Grassmannian (19.35%)
- Polytope (20.97%)

His main research concerns Combinatorics, Grassmannian, Polytope, Scattering amplitude and Conjecture. His Combinatorics research is multidisciplinary, incorporating elements of Lambda and Polynomial. His Grassmannian research is multidisciplinary, incorporating perspectives in Gravitational singularity, Cluster algebra, MHV amplitudes and Mathematical physics.

The Associahedron research Alexander Postnikov does as part of his general Polytope study is frequently linked to other disciplines of science, such as Triangulation, therefore creating a link between diverse domains of science. His research integrates issues of Combinatorial formula, Lift and Integer in his study of Conjecture. His Quantum electrodynamics study which covers U-1 that intersects with Pure mathematics.

- Grassmannian Geometry of Scattering Amplitudes (226 citations)
- On-Shell Structures of MHV Amplitudes Beyond the Planar Limit (82 citations)
- Weak separation and plabic graphs (79 citations)

- Combinatorics
- Algebra
- Geometry

The scientist’s investigation covers issues in Combinatorics, Grassmannian, Scattering amplitude, Cluster algebra and Polytope. His work carried out in the field of Combinatorics brings together such families of science as Power and Polynomial. His study in the field of Schubert calculus also crosses realms of Stratification.

His studies in Scattering amplitude integrate themes in fields like Ideal, Pure mathematics, Feynman diagram, Toy model and Conformal symmetry. The Pure mathematics study combines topics in areas such as Supersymmetric gauge theory, Quantum electrodynamics and Dual graph. His work on Permutohedron as part of general Polytope study is frequently linked to Coxeter complex, bridging the gap between disciplines.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Total positivity, Grassmannians, and networks

Alexander Postnikov.

arXiv: Combinatorics **(2006)**

799 Citations

Scattering Amplitudes and the Positive Grassmannian

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

arXiv: High Energy Physics - Theory **(2012)**

596 Citations

Permutohedra, Associahedra, and Beyond

Alexander Postnikov.

International Mathematics Research Notices **(2009)**

530 Citations

Faces of Generalized Permutohedra

Alexander Postnikov;Victor Reiner;Lauren Williams.

Documenta Mathematica **(2008)**

414 Citations

PP-wave string interactions from perturbative Yang-Mills theory

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

Journal of High Energy Physics **(2002)**

353 Citations

Grassmannian Geometry of Scattering Amplitudes

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

**(2016)**

336 Citations

Deformations of Coxeter Hyperplane Arrangements

Alexander Postnikov;Richard P. Stanley.

Journal of Combinatorial Theory, Series A **(2000)**

209 Citations

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

Boris Shapiro;Alexander Postnikov.

Transactions of the American Mathematical Society **(2004)**

205 Citations

Quantum Schubert polynomials

Sergey Fomin;Sergei Gelfand;Alexander Postnikov.

Journal of the American Mathematical Society **(1997)**

178 Citations

Affine approach to quantum Schubert calculus

Alexander Postnikov.

Duke Mathematical Journal **(2005)**

143 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Yale University

University of Michigan–Ann Arbor

Institute for Advanced Study

University of Michigan–Ann Arbor

University of Michigan–Ann Arbor

University of Haifa

Michigan State University

University of Minnesota

University College London

University of Hong Kong

University of Erlangen-Nuremberg

Pennsylvania State University

Microsoft Research Asia (China)

Carnegie Mellon University

University of Melbourne

University of Warwick

Heidelberg University

University of Barcelona

Swiss Federal Laboratories for Materials Science and Technology

Novartis (United States)

Alfred Wegener Institute for Polar and Marine Research

University of Toronto

University of Strathclyde

Heidelberg University

New York University

Something went wrong. Please try again later.