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- Greg Kuperberg

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
32
Citations
5,769
83
World Ranking
2349
National Ranking
997

2013 - Fellow of the American Mathematical Society

1998 - Fellow of Alfred P. Sloan Foundation

- Combinatorics
- Geometry
- Algebra

Greg Kuperberg mostly deals with Combinatorics, Alternating sign matrix, Discrete mathematics, Sign and Square. Greg Kuperberg interconnects Symmetry, Hyperbolic space and Matrix in the investigation of issues within Combinatorics. As a part of the same scientific family, Greg Kuperberg mostly works in the field of Alternating sign matrix, focusing on Order and, on occasion, Monotone polygon and Substitution tiling.

His study in the fields of Planar graph under the domain of Discrete mathematics overlaps with other disciplines such as Quartic graph. His Sign study combines topics in areas such as Elliott–Halberstam conjecture, Lonely runner conjecture, Collatz conjecture and Analytic proof. His Conjecture study combines topics from a wide range of disciplines, such as Join, Mahler volume, Convex body and Product.

- Spiders for rank 2 Lie algebras (353 citations)
- Alternating sign matrices and domino tilings (318 citations)
- Another proof of the alternating sign matrix conjecture (286 citations)

Greg Kuperberg mostly deals with Combinatorics, Pure mathematics, Discrete mathematics, Quantum and Upper and lower bounds. The Combinatorics study combines topics in areas such as Plane and Convex body. Greg Kuperberg combines subjects such as Symmetry, Pfaffian and Plane symmetry with his study of Plane.

The concepts of his Pure mathematics study are interwoven with issues in Quantum group and Mathematical analysis. In general Discrete mathematics, his work in Complexity class is often linked to Orthogonal array linking many areas of study. His Alternating sign matrix study contributes to a more complete understanding of Sign.

- Combinatorics (56.83%)
- Pure mathematics (30.94%)
- Discrete mathematics (28.78%)

- Combinatorics (56.83%)
- Discrete mathematics (28.78%)
- Pure mathematics (30.94%)

Combinatorics, Discrete mathematics, Pure mathematics, Mathematical analysis and Quantum algorithm are his primary areas of study. Greg Kuperberg has researched Combinatorics in several fields, including Lattice and Simple group. His work carried out in the field of Discrete mathematics brings together such families of science as Probabilistic logic, Bounded function and Quantum computer.

His Affine transformation, Tensor product and Invariant study, which is part of a larger body of work in Pure mathematics, is frequently linked to Algebraic group, bridging the gap between disciplines. His research in Mathematical analysis tackles topics such as Sectional curvature which are related to areas like Isoperimetric inequality and Boundary. His biological study spans a wide range of topics, including Algorithm, Advice, Mathematical proof and Quantum probability.

- Knottedness is in NP, modulo GRH (56 citations)
- Another Subexponential-time Quantum Algorithm for the Dihedral Hidden Subgroup Problem (43 citations)
- How Hard Is It to Approximate the Jones Polynomial (40 citations)

- Geometry
- Combinatorics
- Topology

The scientist’s investigation covers issues in Combinatorics, Pure mathematics, Discrete mathematics, Configuration space and Invariant. His research in Combinatorics is mostly concerned with Genus. His research on Pure mathematics often connects related areas such as Group.

His study in the field of Lattice is also linked to topics like Orthogonal array, Overhead and Random walk. His Configuration space research includes themes of Tensor product and Affine transformation. His research in Quantum algorithm intersects with topics in Lattice and Planar graph.

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.

Alternating sign matrices and domino tilings

Noam Elkies;Greg Kuperberg;Michael Larsen;James Propp.

arXiv: Combinatorics **(1991)**

487 Citations

Alternating-Sign Matrices and Domino Tilings (Part I)

Noam Elkies;Greg Kuperberg;Michael Larsen;James Propp.

Journal of Algebraic Combinatorics **(1992)**

486 Citations

Another proof of the alternating sign matrix conjecture

Greg Kuperberg.

arXiv: Combinatorics **(1997)**

437 Citations

Spiders for rank 2 Lie algebras

Greg Kuperberg.

Communications in Mathematical Physics **(1996)**

385 Citations

What is a virtual link

Greg Kuperberg.

Algebraic & Geometric Topology **(2003)**

353 Citations

Another proof of the alternative-sign matrix conjecture

Greg Kuperberg.

International Mathematics Research Notices **(1996)**

342 Citations

A Subexponential-Time Quantum Algorithm for the Dihedral Hidden Subgroup Problem

Greg Kuperberg.

SIAM Journal on Computing **(2005)**

314 Citations

Symmetry classes of alternating-sign matrices under one roof

Greg Kuperberg.

Annals of Mathematics **(2002)**

245 Citations

Alternating-Sign Matrices and Domino Tilings (Part II)

Noam Elkies;Greg Kuperberg;Michael Larsen;James Propp.

Journal of Algebraic Combinatorics **(1992)**

213 Citations

From the Mahler Conjecture to Gauss Linking Integrals

Greg Kuperberg.

Geometric and Functional Analysis **(2008)**

184 Citations

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