Noam Elkies

Information about Noam Elkies

Noam Elkies in 2005

Noam D. Elkies (born 1966 in New York City) is a mathematician.

While an undergraduate at Columbia University, he was a three-time Putnam Fellow. He won the 1982 competition at the age of sixteen years and four months, making him possibly the youngest Putnam Fellow in history [1]. After graduating as valedictorian at age 18, summa in Mathematics and Music, he earned his Ph.D., at age 20, under supervision of Benedict Gross and Barry Mazur at Harvard University.

In 1987 he proved that an elliptic curve over the rational numbers is supersingular at infinitely many primes. In 1988, he disproved Euler's sum of powers conjecture for fourth powers.

His work on these problems won him recognition and a position as an associate professor at Harvard in 1990. In 1993, he was made a full, tenured professor at the age of only 26. This made him the youngest full professor in the history of Harvard, surpassing the record previously held by Alan Dershowitz (who was made full professor at age 28).

Elkies, along with A. O. L. Atkin, extended Schoof's algorithm to create the Schoof-Elkies-Atkin algorithm.

Elkies's Erdős number is 2.

Elkies is a member of the National Puzzlers' League, using the nom "Aleph". He is an accomplished composer of chess problems (winning the 1996 World Chess Solving Championship) and musical compositions. He has discovered many new patterns in Conway's Game of Life and has studied the mathematics of still life patterns in that cellular automaton rule. He is also an occasional author of anagrams, most notably: "Homo Sapiens = Ape's son, IMHO".

Elkies is also renowned for his knowledge of the connections between mathematics and music. He sits on the Advisory Board of the Journal of Mathematics and Music.

Elkies is also a fellow at Harvard's Lowell House.

External link

Personal site of Noam Elkies at Harvard University

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mathematician is a person whose primary area of study and research is the field of mathematics.

Problems in mathematics

Some people incorrectly believe that mathematics has been fully understood, but the publication of new discoveries in mathematics continues at an immense
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In some educational systems, undergraduate education is post-secondary education up to the level of a bachelor's degree. In the United States, students of higher degrees are known as graduates.
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Columbia University is a private university in the United States and a member of the Ivy League. Its main campus lies in the Morningside Heights neighborhood of the borough of Manhattan, in New York City.
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The William Lowell Putnam Mathematical Competition, often abbreviated to Putnam Competition, is an annual mathematics competition for undergraduate college students, awarding scholarships and cash prizes ranging from $250 to $2,500 for the top students and $5,000 to $25,000
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Benedict Gross (born June 22, 1950) is a professor of mathematics at Harvard University and former Dean of Harvard College.

In 1971 he graduated Phi Beta Kappa from Harvard University. He then received an M.Sc.
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Barry Mazur (born December 19, 1937) is a professor of mathematics at Harvard University.

Life

Born in New York, New York, United States Mazur attended the Bronx High School of Science and MIT, although he did not graduate from the latter on account of failing a
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Harvard University (incorporated as The President and Fellows of Harvard College) is a private university in Cambridge, Massachusetts, USA and a member of the Ivy League.
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In mathematics, an elliptic curve is a smooth, projective algebraic curve of genus one, on which there is a specified point O. An elliptic curve is in fact an abelian variety—that is, it has a multiplication defined algebraically with respect to which it is an
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In mathematics, there are two notions of supersingular primes.

If is an elliptic curve, then one says that a prime p is supersingular for E if the number of points of E defined over is congruent to 1 modulo p.
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Euler's conjecture is a conjecture in mathematics related to Fermat's last theorem which was proposed by Leonhard Euler in 1769. It states that for all integers n and k greater than 1, if the sum of n k
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Year 1990 (MCMXC) was a common year starting on Monday (link displays the 1990 Gregorian calendar).
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Tenure commonly refers to life tenure in a job, and specifically to a senior academic's contractual right not to be fired without cause.
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Alan Morton Dershowitz (born September 1, 1938) is an American lawyer and criminal law professor known for his extensive published works, career as an attorney in several high-profile law cases, and commentary on the Arab-Israeli conflict.
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A. Oliver L. Atkin is a Professor Emeritus of mathematics at the University of Illinois at Chicago.

Atkin, along with Noam Elkies, extended Schoof's algorithm to create the Schoof-Elkies-Atkin algorithm.

Atkin, together with Daniel J.
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Schoof's algorithm, first described by R. Schoof in 1985, allows one to calculate the number of points on an elliptic curve over a finite field and is used mostly in elliptic curve cryptography.
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The Schoof-Elkies-Atkin algorithm (SEA) is an algorithm used for finding the order of or calculating the number of points on an elliptic curve over a finite field. Its primary application is in elliptic curve cryptography.
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The National Puzzlers' League (NPL) is a nonprofit organization focused on puzzling, primarily in the realm of word play and word games. The group has three aims: to further the pastime of word puzzles, to raise the standard of puzzling to a higher intellectual level, and to
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NOM may refer to:

Not Original Motor, often used in the context of Classic or used cars.
Natural Organic Matter

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Phoenician alphabet

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A chess composer is a person who creates endgame studies or chess problems. He usually specializes in a particular genre, e.g. endgame studies, twomovers, threemovers, moremovers, helpmates, selfmates, fairy problems.
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chess problem, also called a chess composition, is a puzzle set by somebody using chess pieces on a chess board, that presents the solver with a particular task to be achieved.
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The World Chess Solving Championship (WCSC) is an annual competition in the solving of chess problems organised by FIDE via the Permanent Commission of the FIDE for Chess Compositions (PCCC).
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Musical composition is a phrase used in a number of contexts, the most commonly used being a piece of music. It is also used, however, to refer the structure of a musical piece and to the process of creating or orchestrating a new piece of music.
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Game of Life is a cellular automaton devised by the British mathematician John Horton Conway in 1970. It is the best-known example of a cellular automaton.

The "game" is actually a zero-player game, meaning that its evolution is determined by its initial state, needing no
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still life is a pattern that does not change from one generation to the next. A still life can be thought of as an oscillator of period 1. A strict still life is an indecomposable still life pattern, while a pseudo still life
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