Noam Elkies

Q: What Schools Are Affiliated With Noam Elkies

Noam Elkies is affiliated with the following schools: Columbia University, Radcliffe College, Harvard University

Why Is Noam Elkies Influential?

According to Wikipedia, Noam David Elkies is a professor of mathematics at Harvard University. At the age of 26, he became the youngest professor to receive tenure at Harvard. He is also a pianist, chess national master and a chess composer.

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Noam Elkies'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

Alternating sign matrices and domino tilings (1991) (345)
New upper bounds on sphere packings I (2001) (334)
Local statistics for random domino tilings of the Aztec diamond (1996) (258)
Elliptic and modular curves over finite fields and related computational issues (1997) (238)
Alternating-Sign Matrices and Domino Tilings (Part I) (1992) (215)
Alternating-Sign Matrices and Domino Tilings (Part II) (1992) (153)
The existence of infinitely many supersingular primes for every elliptic curve over ℚ (1987) (142)
The Klein Quartic in Number Theory (1999) (139)
Distribution of supersingular primes (1991) (101)
Explicit Modular Towers (2001) (98)
ABC implies Mordell (1991) (95)
A characterization of the Z^n lattice (1999) (85)
Gaps in √n mod 1 and ergodic theory (2004) (84)
Rational Points Near Curves and Small Nonzero |x3-y2| via Lattice Reduction (2000) (81)
Explicit Towers of Drinfeld Modular Curves (2000) (72)
Three lectures on elliptic surfaces and curves of high rank (2007) (61)
K3 surfaces and equations for Hilbert modular surfaces (2012) (51)
Heegner point computations (1994) (50)
On the packing densities of superballs and other bodies (1991) (48)
The exceptional cone and the Leech lattice (1996) (45)
Lattices and codes with long shadows (1999) (42)
On Elliptic K-curves (2004) (41)
Elliptic curves with 3-adic Galois representation surjective mod 3 but not mod 9 (2006) (40)
Supersingular primes for elliptic curves over real number fields (1989) (40)
Shimura Curve Computations (1998) (39)
On A 4 + B 4 + C 4 = D 4 (1988) (38)
Ranks of quadratic twists of elliptic curves (2015) (36)
On the Hurwitz scheme and its monodromy (1991) (35)
Sylvester–Gallai Theorems for Complex Numbers and Quaternions (2004) (35)
Reduction of CM elliptic curves and modular function congruences (2005) (35)
Shimura Curve Computations Via K3 Surfaces of Néron-Severi Rank at Least 19 (2008) (35)
Modular forms and K3 surfaces (2008) (34)
The D 4 Root System Is Not Universally Optimal (2006) (34)
Curves of every genus with many points, II: Asymptotically good families (2002) (32)
On Numbers and Endgames: combinatorial Game Theory in Chess Endgames (1999) (31)
On $A\sp 4+B\sp 4+C\sp 4=D\sp 4$ (1988) (30)
Mordell–Weil lattices in characteristic 2 II: The Leech lattice as a Mordell–Weil lattice (1997) (29)
The automorphism group of the modular curve $X_0(63)$ (1990) (29)
Mordell-Weil Lattices in Characteristic 2 : I . Construction and First Properties (1997) (29)
Excellent nonlinear codes from modular curves (2001) (25)
Elliptic Curves x3 + y3 = k of High Rank (2004) (25)
“Scrambling” geo-referenced data to protect privacy induces bias in distance estimation (2015) (24)
On the sums Σ∞k=-∞(4k + 1)-n (2003) (24)
An improved lower bound on the greatest element of a sum-distinct set of fixed order (1986) (22)
THE CONJUGATE DIMENSION OF ALGEBRAIC NUMBERS (2003) (21)
THE MATHIEU GROUP M12 AND ITS PSEUDOGROUP EXTENSION M13 (2006) (20)
Linearized algebra and finite groups of Lie type: I: linear and sym - plectic groups (1997) (20)
New Optimal Tame Towers of Function Fields over Small Finite Fields (2002) (20)
The ABC's of Number Theory (2007) (18)
Mordell–Weil Lattices in Characteristic 2, III: A Mordell–Weil Lattice of Rank 128 (2000) (18)
Trinomials ax and ax with Galois Groups of Order 168 and 8·168 (2002) (18)
Shimura Curves for Level-3 Subgroups of the (2, 3, 7) Triangle Group, and Some Other Examples (2004) (18)
Elliptic Curves of Large Rank and Small Conductor (2004) (18)
Lattices , Linear Codes , and Invariants , Part I (2000) (16)
On the Sums (2003) (16)
The average size of the 3‐isogeny Selmer groups of elliptic curves y2=x3+k (2016) (16)
Still better nonlinear codes from modular curves (2003) (13)
Genus 1 fibrations on the supersingular K3 surface in characteristic 2 with Artin invariant 1 (2012) (13)
Curves D y^2 = x^3 - x of odd analytic rank (2002) (12)
The Mathieu Group M 12 and Its Pseudogroup Extension M 13 (2005) (12)
The Still-Life Density Problem and its Generalizations (1999) (12)
Curves with many points (2007) (12)
Excellent codes from modular curves (2001) (11)
Point configurations that are asymmetric yet balanced (2008) (10)
The mathematical knight (2003) (10)
Lattices , Linear Codes , and Invariants , Part II (2000) (8)
Periodic continued fractions over $S$-integers in number fields and Skolem’s $p$-adic method (2019) (8)
Higher Nimbers in Pawn Endgames on Large Chessboards (2000) (8)
The complex polynomials P(x) with Gal(P(x) − t)≅M23 (2013) (8)
The identification of three moduli spaces (1999) (8)
A note on integral points on elliptic curves (2006) (7)
A Real Part Theorem for the Higher Derivatives of Analytic Functions in the Unit Disk (2012) (7)
MODULI SPACES OF QUADRATIC RATIONAL MAPS WITH A MARKED PERIODIC POINT OF SMALL ORDER (2013) (7)
Points of Low Height on Elliptic Curves and Surfaces, I: Elliptic surfaces over P^1 with small d (2006) (7)
On finite sequences satisfying linear recursions (2001) (7)
Curves Dy=x-x of Odd Analytic Rank (2002) (6)
of Euclidean lattices , with some applications (2009) (6)
Genus bounds for curves with fixed Frobenius eigenvalues (2010) (5)
New Directions in Enumerative Chess Problems (2005) (5)
EMBEDDINGS INTO THE INTEGRAL OCTONIONS (1997) (5)
Points of Low Height on Elliptic Curves and Surfaces I: Elliptic Surfaces over \mathbb P1 with Small d (2006) (5)
Minimal S-Universality Criteria May Vary in Size (2011) (5)
New trends in arithmetic and geometry of algebraic surfaces (2017) (5)
New rank records for elliptic curves having rational torsion (2020) (4)
Every multiple of 4 except 212, 364, 420, and 428 is the sum of seven cubes (2009) (4)
Correction to “Gaps in n mod 1 and ergodic Theory” (2005) (4)
A G ] 5 O ct 2 00 8 Modular forms and K 3 surfaces (2008) (3)
Elementary Problems: E3231-3236 (1987) (3)
On some points-and-lines problems and configurations (2006) (3)
On the Classification of Type II Codes of Length 24 (2009) (3)
Minimal $\mathcal{S}$-universality criteria may vary in size (2013) (3)
Cubic rings and the exceptional Jordan algebra (2001) (3)
Weighted Generating Functions and Configuration Results for Type II Lattices and Codes (2009) (2)
Permutations that Destroy Arithmetic Progressions in Elementary p-Groups (2016) (2)
Weighted Generating Functions for Type II Lattices and Codes (2011) (2)
Every even number greater than 454 is the sum of seven cubes (2010) (2)
On the sums Sum((4k+1)^(-n),k,-inf,+inf) (2001) (1)
13. Crossing Numbers of Complete Graphs (2018) (1)
Configurations of Extremal Type II Codes (2015) (1)
A Modern Solution to the Gion Shrine Problem (2013) (1)
Curves of genus 2 with many rational points via K3 surfaces (abstract only) (2008) (1)
Refined Configuration Results for Extremal Type II Lattices of Ranks 40 and 80 (2009) (1)
The Mathieu Group M12 and Conway's M13-Game Senior Honors Thesis in Mathematics (1996) (1)
Equations for a K3 Lehmer map (2021) (1)
N T ] 1 4 M ay 2 00 0 Rational points near curves and small nonzero | x 3 − y 2 | via lattice reduction (2007) (1)
Symmetries and equations of smooth quartic surfaces with many lines (2019) (0)
M ay 2 00 1 On finite sequences satisfying linear recursions (2008) (0)
Configurations of Extremal Type II Codes via Harmonic Weight Enumerators (2019) (0)
Algebra & Number Theory (2014) (0)
1 2 Ju n 19 99 Lattices and codes with long shadows (1999) (0)
Erratum: The mathematical knight (2003) (0)
Explicit Towers of Drinfeld Modular Curves The Harvard made this article openly available. Please share how this access benefits you. Your story matters (2008) (0)
ON POWERFUL INTEGERS EXPRESSIBLE AS SUMS OF TWO COPRIME FOURTH POWERS (2022) (0)
The Entropy of Music: How Many Possible Pieces of Music Are There? (2016) (0)
The ABC ’ s of Number Theory Prof (2007) (0)
A Real Part Theorem for the Higher Derivatives of Analytic Functions in the Unit Disk (2013) (0)
New directions in enumerative chess problems to Richard Stanley on the occasion of his 60th birthday (2005) (0)
The average elliptic curve has few integral (2014) (0)
A ug 2 00 2 Curves Dy 2 = x 3 − x of odd analytic rank (2002) (0)
REAL MULTIPLICATION ABELIAN SURFACES OVER Q (2007) (0)
2 J un 1 99 9 A characterization of the Z n lattice (1995) (0)
4 S ep 2 00 8 Modular forms and K 3 surfaces (2008) (0)
“Scrambling” geo-referenced data to protect privacy induces bias in distance estimation (2015) (0)
Nimbers in pawn endgames on large chessboards (2002) (0)
On the Sums...(4k + 1)[sup -n] (2003) (0)
Gaps in $\sqrt{n}mod 1$ and Ergodic Theory (2010) (0)
The average elliptic curve has few integral points (2014) (0)
Part II Multiply Transitive Groups 1 (2003) (0)
Sphere Packings, Lattices, and Infinite Dimensional Algebra (2019) (0)
The Mathemati al KnightNoam (2003) (0)
Endgame Tables and Chess Composition (2001) (0)
A ] 2 3 A ug 2 00 2 On the Sums ∑ (0)
LOCAL STATISTICS FOR RANDOM DOMINO TILINGS OF THEAZTEC (1996) (0)
2 4 M ay 2 00 0 Explicit towers of Drinfeld modular curves (2001) (0)
An Isoperimetric Inequality (M. S. Klamkin) (1986) (0)
The Beurling-Selberg Box Minorant Problem via Linear Programming Bounds (2017) (0)

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What Schools Are Affiliated With Noam Elkies?

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Why Is Noam Elkies Influential?

Noam Elkies's Published Works

Published Works

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What Schools Are Affiliated With Noam Elkies?

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