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Noam Elkies

Noam Elkies
Noam Elkies.jpg
Noam Elkies in 2007
Born (1966-08-25) August 25, 1966 (age 50)
New York City
Nationality American
Fields Mathematics
Institutions Harvard University
Alma mater Columbia University,
Harvard University
Doctoral advisor Benedict Gross
Barry Mazur
Doctoral students Henry Cohn
Notable awards Putnam Fellow
Levi L. Conant Prize (2004)

Noam David Elkies (born August 25, 1966) is an American mathematician and chess master. Along with A. O. L. Atkin, he extended Schoof's algorithm to create the Schoof–Elkies–Atkin algorithm. In 1993, when he was 26 years old, he became the youngest full professor in the history of Harvard University.

In 1981, at age 14, Elkies was awarded a gold medal at the 22nd International Mathematical Olympiad, receiving a perfect score of 42 and becoming one of just 26 participants to attain this score, and one of the youngest ever to do so. Elkies graduated from Stuyvesant High School in 1982 and went on to Columbia University, where he won the Putnam competition at the age of sixteen years and four months, making him one of the youngest Putnam Fellows in history. He was a Putnam Fellow two more times during his undergraduate years. After graduating as valedictorian at age 18 with a summa cum laude in Mathematics and Music, he earned his Ph.D. at the age 20 under the 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 found a counterexample to Euler's sum of powers conjecture for fourth powers. His work on these and other 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 26. This made him the youngest full professor in the history of Harvard. Elkies, along with A. O. L. Atkin, extended Schoof's algorithm to create the Schoof–Elkies–Atkin algorithm. In 1994 he was an invited speaker at the International Congress of Mathematicians in Zurich. In 2004 he received a Lester R. Ford Award.


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