Henry Cohn

Henry Cohn's AcademicInfluence.com Rankings

Henry Cohn

Mathematics

#2766

World Rank

#4203

Historical Rank

#1072

USA Rank

Number Theory

#130

World Rank

#171

Historical Rank

#29

USA Rank

Algebraic Geometry

#227

World Rank

#238

Historical Rank

#49

USA Rank

Measure Theory

#3843

World Rank

#4531

Historical Rank

#1097

USA Rank

mathematics Degrees

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Mathematics

Why Is Henry Cohn Influential?

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According to Wikipedia, Henry Cohn is an American mathematician. He is a principal researcher at Microsoft Research and an adjunct professor at MIT. In collaboration with Abhinav Kumar, Stephen D. Miller, Danylo Radchenko, and Maryna Viazovska, he solved the sphere packing problem in 24 dimensions.

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Henry Cohn's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Universally optimal distribution of points on spheres (2006) (368)
New upper bounds on sphere packings I (2001) (334)
A variational principle for domino tilings (2000) (324)
The sphere packing problem in dimension 24 (2016) (314)
Local statistics for random domino tilings of the Aztec diamond (1996) (258)
The Shape of a Typical Boxed Plane Partition (1998) (245)
Optimality and uniqueness of the Leech lattice among lattices (2004) (144)
An $L^p$ theory of sparse graph convergence I: Limits, sparse random graph models, and power law distributions (2014) (136)
A group-theoretic approach to fast matrix multiplication (2003) (136)
On cap sets and the group-theoretic approach to matrix multiplication (2016) (116)
Free partition functions and an averaged holographic duality (2020) (114)
Approximate common divisors via lattices (2011) (95)
Sparse Exchangeable Graphs and Their Limits via Graphon Processes (2016) (95)
An $L^{p}$ theory of sparse graph convergence II: LD convergence, quotients and right convergence (2014) (88)
Experimental Study of Energy-Minimizing Point Configurations on Spheres (2006) (78)
A conceptual breakthrough in sphere packing (2016) (75)
SPHERE PACKING BOUNDS VIA SPHERICAL CODES (2012) (70)
New upper bounds on sphere packings II (2001) (65)
Algorithmic design of self-assembling structures (2009) (63)
Universal optimality of the $E_8$ and Leech lattices and interpolation formulas (2019) (62)
Fast matrix multiplication using coherent configurations (2012) (55)
A Short Proof of the Simple Continued Fraction Expansion of e (2006) (53)
The densest lattice in twenty-four dimensions (2004) (51)
Projective Geometry over 픽1 and the Gaussian Binomial Coefficients (2004) (48)
The Impossibility of Obfuscation with Auxiliary Input or a Universal Simulator (2014) (46)
Optimal simplices and codes in projective spaces (2013) (46)
Three-point bounds for energy minimization (2011) (42)
Ideal forms of Coppersmith's theorem and Guruswami-Sudan list decoding (2010) (40)
Ground states and formal duality relations in the Gaussian core model. (2009) (37)
The D 4 Root System Is Not Universally Optimal (2006) (34)
NOTES ON SET THEORY (2007) (34)
Order and disorder in energy minimization (2010) (33)
Generating a Random Sink-free Orientation in Quadratic Time (2001) (33)
High-dimensional sphere packing and the modular bootstrap (2020) (30)
An optimal uncertainty principle in twelve dimensions via modular forms (2017) (30)
Sampling perspectives on sparse exchangeable graphs (2017) (27)
Consistent nonparametric estimation for heavy-tailed sparse graphs (2015) (25)
2-adic Behavior of Numbers of Domino Tilings (1999) (24)
Which groups are amenable to proving exponent two for matrix multiplication? (2017) (21)
Energy-Minimizing Error-Correcting Codes (2012) (20)
Rigidity of Spherical Codes (2011) (20)
Packing, coding, and ground states (2016) (16)
Counterintuitive ground states in soft-core models. (2008) (15)
The Gaussian core model in high dimensions (2016) (15)
Mathematical physics: A tight squeeze (2009) (14)
Formal duality and generalizations of the Poisson summation formula (2013) (14)
NOTES ON LOGIC (2006) (14)
Some properties of optimal functions for sphere packing in dimensions 8 and 24 (2016) (13)
Identifiability for Graphexes and the Weak Kernel Metric (2018) (13)
Uniqueness of the (22,891,1/4) spherical code (2006) (13)
On the shape of the fundamental domain of the Hilbert modular group Proc (1965) (12)
Metacommutation of Hurwitz primes (2013) (12)
Point configurations that are asymmetric yet balanced (2008) (10)
Symmetry and specializability in continued fractions (2000) (10)
Mathematicians take a stand (2012) (9)
Three-point bounds for sphere packing (2022) (8)
Dual linear programming bounds for sphere packing via modular forms (2019) (6)
Sphere packing bounds via rescaling (2021) (4)
An optimal uncertainty principle in twelve dimensions via modular forms (2019) (3)
Projective Geometry over F1 and the (2016) (3)
A note on the impossibility of obfuscation (2014) (3)
Weighted Generating Functions and Configuration Results for Type II Lattices and Codes (2009) (2)
Matrix multiplication via matrix groups (2022) (2)
The impossibility of obfuscation with a universal simulator (2014) (1)
The work of Maryna Viazovska (2022) (1)
Free partition functions and an averaged holographic duality (2021) (1)
Ju l 2 00 6 UNIVERSALLY OPTIMAL DISTRIBUTION OF POINTS ON SPHERES (2008) (0)
PROLOGUE TO SET THEORY AND LOGIC (2017) (0)
The average elliptic curve has few integral (2014) (0)
The average elliptic curve has few integral points (2014) (0)
Sign uncertainty principles and bounded-degree polynomials (2022) (0)
Solving equations with size constraints for the solutions (2013) (0)
ALGEBRAIC NUMBER THEORY AND QUADRATIC RECIPROCITY (2002) (0)
Problems: 10452-10458 (1995) (0)
ANTS X Proceedings of the Tenth Algorithmic Number Theory Symposium msp Approximate common divisors via lattices (2013) (0)

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Other Resources About Henry Cohn

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What Schools Are Affiliated With Henry Cohn?

Henry Cohn is affiliated with the following schools:

Harvard University

Henry Cohn's Academic­Influence.com Rankings

Why Is Henry Cohn Influential?

Henry Cohn's Published Works

Published Works

Other Resources About Henry Cohn

What Schools Are Affiliated With Henry Cohn?

Henry Cohn's AcademicInfluence.com Rankings