What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- Total positivity, Grassmannians, and networks (482 citations)
- Scattering Amplitudes and the Positive Grassmannian (387 citations)
- Permutohedra, Associahedra, and Beyond (345 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Combinatorics (65.32%)
- Pure mathematics (23.39%)
- Polytope (20.97%)
What were the highlights of his more recent work (between 2013-2020)?
- Combinatorics (65.32%)
- Grassmannian (19.35%)
- Polytope (20.97%)
In recent papers he was focusing on the following fields of study:
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.
Between 2013 and 2020, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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