## Education

Harvard University; Columbia University. Stuyvesant High School.

- Photos
- Works

- Photos
- Works

composer mathematician university professor

Harvard University; Columbia University. Stuyvesant High School.

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. 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 Doctor of Philosophy 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.

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. Elkies also studies the connections between music and mathematics.

He sits on the Advisory Board of the Journal of Mathematics and Music.

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. Elkies is a fellow at Harvard"s Lowell House.

Elkies is a composer and solver of chess problems (winning the 1996 World Chess Solving Championship).