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- Victor Reiner

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
35
Citations
4,950
151
World Ranking
1923
National Ranking
820

Engineering and Technology
D-index
35
Citations
4,651
109
World Ranking
5389
National Ranking
1701

2013 - Fellow of the American Mathematical Society

1996 - Fellow of Alfred P. Sloan Foundation

- Combinatorics
- Algebra
- Geometry

The scientist’s investigation covers issues in Combinatorics, Discrete mathematics, Noncrossing partition, Conjecture and Simplicial complex. His study on Betti number, Quotient and Oriented matroid is often connected to Context and Upper and lower bounds as part of broader study in Combinatorics. Victor Reiner has researched Discrete mathematics in several fields, including Statistics and Multivariate statistics.

His studies in Noncrossing partition integrate themes in fields like Finite field, Lattice and Polygon. The various areas that Victor Reiner examines in his Conjecture study include Affine transformation, Unit, Associahedron, Permutohedron and Narayana number. When carried out as part of a general Simplicial complex research project, his work on Abstract simplicial complex and Simplicial homology is frequently linked to work in Simplicial approximation theorem and Karamata's inequality, therefore connecting diverse disciplines of study.

- Resolutions of Stanley-Reisner rings and Alexander duality (300 citations)
- Faces of Generalized Permutohedra (262 citations)
- Non-crossing partitions for classical reflection groups (249 citations)

Victor Reiner focuses on Combinatorics, Discrete mathematics, Pure mathematics, Coxeter group and Partially ordered set. His Combinatorics research focuses on Conjecture, Polytope, Matroid, Coxeter element and Symmetric group. His Matroid research incorporates themes from Tutte polynomial and Simplicial complex.

Finite field and Graph are the subjects of his Discrete mathematics studies. Pure mathematics is closely attributed to Algebra in his research. His biological study spans a wide range of topics, including Type, Cartesian product and Lattice.

- Combinatorics (78.68%)
- Discrete mathematics (24.37%)
- Pure mathematics (18.27%)

- Combinatorics (78.68%)
- Pure mathematics (18.27%)
- Coxeter element (7.61%)

Victor Reiner mainly focuses on Combinatorics, Pure mathematics, Coxeter element, Reflection group and Partially ordered set. His research links Hopf algebra with Combinatorics. He combines subjects such as Critical group, Modulo, Regular representation and Finite group with his study of Pure mathematics.

His work deals with themes such as Coxeter complex, Hyperplane and Conjugacy class, which intersect with Coxeter element. In his work, Permutation, Disjoint union and Symmetric group is strongly intertwined with Type, which is a subfield of Partially ordered set. He interconnects Lattice and Cartesian product in the investigation of issues within Coxeter group.

- Representation stability for cohomology of configuration spaces in $\mathbf{R}^d$ (24 citations)
- Poset edge densities, nearly reduced words, and barely set-valued tableaux (18 citations)
- Absolute order in general linear groups (14 citations)

- Combinatorics
- Algebra
- Geometry

Victor Reiner spends much of his time researching Combinatorics, Pure mathematics, Coxeter group, Partially ordered set and Coxeter element. His Combinatorics study incorporates themes from Interpretation and Descent. In the subject of general Pure mathematics, his work in Weyl group is often linked to Reflection group, Root of unity, Representation and Stability, thereby combining diverse domains of study.

His Partially ordered set research incorporates elements of Bruhat order, Lattice and Cartesian product. His Coxeter element research is multidisciplinary, incorporating elements of Conjugacy class, Toric variety, Hyperplane, Morphism and Equivalence relation. His study in Conjugacy class is interdisciplinary in nature, drawing from both Multiset, Graph, Lemma and Matroid.

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.

Faces of Generalized Permutohedra

Alexander Postnikov;Victor Reiner;Lauren Williams.

Documenta Mathematica **(2008)**

414 Citations

Resolutions of Stanley-Reisner rings and Alexander duality

John A Eagon;Victor Reiner.

Journal of Pure and Applied Algebra **(1998)**

318 Citations

Non-crossing partitions for classical reflection groups

Victor Reiner.

Discrete Mathematics **(1997)**

309 Citations

The cyclic sieving phenomenon

V. Reiner;D. Stanton;D. White.

Journal of Combinatorial Theory, Series A **(2004)**

292 Citations

Hopf Algebras in Combinatorics

Darij Grinberg;Victor Reiner.

arXiv: Combinatorics **(2014)**

161 Citations

Key polynomials and a flagged Littlewood-Richardson rule

Victor Reiner;Mark Shimozono.

Journal of Combinatorial Theory, Series A **(1995)**

143 Citations

Signed permutation statistics

Victor Reiner.

The Journal of Combinatorics **(1993)**

128 Citations

Noncrossing Partitions for the Group D n

Christos A. Athanasiadis;Victor Reiner.

SIAM Journal on Discrete Mathematics **(2005)**

127 Citations

A Convolution Formula for the Tutte Polynomial

W. Kook;V. Reiner;D. Stanton.

Journal of Combinatorial Theory, Series B **(1999)**

118 Citations

Componentwise linear ideals and Golod rings.

J. Herzog;V. Reiner;V. Welker.

Michigan Mathematical Journal **(1999)**

110 Citations

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