What is he best known for?
The fields of study he is best known for:
- Algebra
- Combinatorics
- Geometry
Combinatorics, Grassmannian, Discrete mathematics, Algebraic geometry and Tropical geometry are his primary areas of study.
In general Combinatorics, his work in Bijection is often linked to Reconstruction method linking many areas of study.
When carried out as part of a general Grassmannian research project, his work on Schubert calculus is frequently linked to work in Generalized flag variety, therefore connecting diverse disciplines of study.
His work on Conjecture and Matroid as part of general Discrete mathematics study is frequently connected to Phylogenetic tree and Search tree, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them.
His Algebraic geometry study combines topics in areas such as Mathematics education and Field.
His research in Tropical geometry intersects with topics in Intersection, Hypersimplex, Linear space and Ideal.
His most cited work include:
- The tropical Grassmannian (447 citations)
- Tropical Linear Spaces (146 citations)
- Computing tropical varieties (137 citations)
What are the main themes of his work throughout his whole career to date?
David E Speyer spends much of his time researching Combinatorics, Grassmannian, Discrete mathematics, Cluster algebra and Pure mathematics.
His study in Type extends to Combinatorics with its themes.
The concepts of his Grassmannian study are interwoven with issues in Structure, Algebraic geometry and Sequence.
His Discrete mathematics research focuses on Tropical geometry and how it relates to Euclidean space.
His work investigates the relationship between Cluster algebra and topics such as Associahedron that intersect with problems in Semiring.
His biological study spans a wide range of topics, including Zero and Variety.
He most often published in these fields:
- Combinatorics (77.78%)
- Grassmannian (30.30%)
- Discrete mathematics (23.23%)
What were the highlights of his more recent work (between 2016-2021)?
- Combinatorics (77.78%)
- Conjecture (10.10%)
- Symmetric group (6.06%)
In recent papers he was focusing on the following fields of study:
His primary scientific interests are in Combinatorics, Conjecture, Symmetric group, Matroid and Pure mathematics.
His work on Morphism as part of general Combinatorics study is frequently linked to Action, bridging the gap between disciplines.
His research integrates issues of Differential operator, Order, Schubert polynomial and Identity in his study of Conjecture.
David E Speyer combines subjects such as Characteristic polynomial, Gröbner basis, Polytope, Hilbert–Poincaré series and Hyperplane with his study of Matroid.
In his study, Grassmannian is inextricably linked to Connection, which falls within the broad field of Polytope.
His work on Direct sum, Equivariant map and Irreducible representation as part of his general Pure mathematics study is frequently connected to Irreducible polynomial and Representation ring, thereby bridging the divide between different branches of science.
Between 2016 and 2021, his most popular works were:
- The twist for positroid varieties (31 citations)
- Cambrian frameworks for cluster algebras of affine type (12 citations)
- The positive Dressian equals the positive tropical Grassmannian (10 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Combinatorics
- Geometry
His primary areas of investigation include Combinatorics, Symmetric group, Conjecture, Grassmannian and Pure mathematics.
His Combinatorics research is multidisciplinary, incorporating elements of Cluster algebra, Type and Affine transformation.
His Symmetric group research is multidisciplinary, relying on both Differential operator, Schubert polynomial and Identity.
His Conjecture research incorporates elements of Connection, Hyperplane, Order and Hypersimplex.
David E Speyer has included themes like Automorphism, Structure, Matroid and Polytope in his Grassmannian study.
His study on Direct sum, Equivariant map and Irreducible representation is often connected to Irreducible polynomial and Representation ring as part of broader study in Pure mathematics.
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