Noam Elkies
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Most Influential Person Now
American mathematician
Why Is Noam Elkies Influential?
(Suggest an Edit or Addition)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.
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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