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- Henry Cohn

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D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
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Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
32
Citations
4,730
91
World Ranking
2394
National Ranking
1013

2015 - Fellow of the American Mathematical Society For contributions to discrete mathematics, including applications to computer science and physics.

- Geometry
- Mathematical analysis
- Combinatorics

Combinatorics, Sphere packing, Aztec diamond, Pure mathematics and Domino tiling are his primary areas of study. His Combinatorics study integrates concerns from other disciplines, such as Discrete mathematics and Distribution. His Sphere packing research integrates issues from Linear programming, Function and Leech lattice.

Henry Cohn conducted interdisciplinary study in his works that combined Aztec diamond and Uniform distribution. In general Pure mathematics, his work in Tensor, Group algebra and Abelian group is often linked to Exponent linking many areas of study. Many of his Domino tiling research pursuits overlap with Rhombille tiling, Triangular tiling, Arrangement of lines and Substitution tiling.

- Universally optimal distribution of points on spheres (313 citations)
- A variational principle for domino tilings (297 citations)
- A variational principle for domino tilings (297 citations)

Henry Cohn mainly focuses on Combinatorics, Discrete mathematics, Sphere packing, Pure mathematics and Linear programming. In the subject of general Combinatorics, his work in Dimension is often linked to Aztec diamond, thereby combining diverse domains of study. His Coding theory, Equivalence and Random graph study, which is part of a larger body of work in Discrete mathematics, is frequently linked to Dense graph, bridging the gap between disciplines.

Henry Cohn combines subjects such as Fourier transform, Leech lattice and Euclidean space with his study of Sphere packing. His work on Field and Tensor as part of general Pure mathematics research is frequently linked to Fixed-function and Construct, bridging the gap between disciplines. His work carried out in the field of Linear programming brings together such families of science as Series and Exponential function.

- Combinatorics (45.79%)
- Discrete mathematics (28.04%)
- Sphere packing (16.82%)

- Combinatorics (45.79%)
- Sphere packing (16.82%)
- Discrete mathematics (28.04%)

His primary areas of investigation include Combinatorics, Sphere packing, Discrete mathematics, Modular form and Linear programming. The Dimension research he does as part of his general Combinatorics study is frequently linked to other disciplines of science, such as Locally integrable function, therefore creating a link between diverse domains of science. His Sphere packing research is multidisciplinary, incorporating elements of Conformal map, Leech lattice, Exponential function and Field.

His research in the fields of Equivalence and Random graph overlaps with other disciplines such as Identifiability and Dense graph. His Linear programming research incorporates elements of Current algebra, Extrapolation and Dual. His Function course of study focuses on Core model and Constant factor and Point.

- The sphere packing problem in dimension 24 (190 citations)
- On cap sets and the group-theoretic approach to matrix multiplication (53 citations)
- A conceptual breakthrough in sphere packing (42 citations)

- Geometry
- Mathematical analysis
- Quantum mechanics

His scientific interests lie mostly in Discrete mathematics, Sphere packing, Combinatorics, Mathematical proof and Equivalence. His work on Time complexity as part of general Discrete mathematics study is frequently connected to Stochastic block model, Estimator and Identifiability, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. His Sphere packing study combines topics from a wide range of disciplines, such as Auxiliary function and Leech lattice.

His Combinatorics research is mostly focused on the topic Vertex. His studies in Mathematical proof integrate themes in fields like Quotient and Power law graphs. His research integrates issues of Limit theory and Random graph in his study of Equivalence.

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.

Local statistics for random domino tilings of the Aztec diamond

Henry Cohn;Noam Elkies;James Propp.

Duke Mathematical Journal **(1996)**

365 Citations

Universally optimal distribution of points on spheres

Henry Cohn;Abhinav Kumar;Abhinav Kumar.

Journal of the American Mathematical Society **(2006)**

363 Citations

New upper bounds on sphere packings I

Henry Cohn;Noam Elkies.

Annals of Mathematics **(2003)**

355 Citations

A variational principle for domino tilings

Henry Cohn;Henry Cohn;Richard Kenyon;James Propp.

Journal of the American Mathematical Society **(2000)**

340 Citations

The Shape of a Typical Boxed Plane Partition

Henry Cohn;Michael Larsen;James Propp.

arXiv: Combinatorics **(1998)**

328 Citations

The sphere packing problem in dimension 24

Henry Cohn;Abhinav Kumar;Stephen D. Miller;Danylo Radchenko.

Annals of Mathematics **(2017)**

298 Citations

Group-theoretic algorithms for matrix multiplication

H. Cohn;R. Kleinberg;B. Szegedy;C. Umans.

foundations of computer science **(2005)**

284 Citations

A group-theoretic approach to fast matrix multiplication

H. Cohn;C. Umans.

foundations of computer science **(2003)**

162 Citations

Optimality and uniqueness of the Leech lattice among lattices

Henry Cohn;Abhinav Kumar.

Annals of Mathematics **(2009)**

146 Citations

Free partition functions and an averaged holographic duality

Nima Afkhami-Jeddi;Henry Cohn;Thomas Hartman;Amirhossein Tajdini.

Journal of High Energy Physics **(2021)**

123 Citations

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