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Structure and Randomness in the Prime Numbers

Fields Medalist & James and Carol Collins Chair in Mathematics

47:51·2009·undergraduate level·Public Colloquium

Shows how analytic number theory decomposes arithmetic sequences into structured periodic components and pseudorandom noise—unlocking arbitrary-length arithmetic progressions in the primes.

Lecture for a general audience: Terence Tao is UCLA's Collins Professor of Mathematics, and the first UCLA professor to win the prestigious Fields Medal. Less than a month after

winning the Fields Medal, Tao was named a MacArthur Fellow. The following month, Tao was named one of "The Brilliant 10" scientists by Popular Science magazine, which called him "Math's Great Uniter" and said that "to Tao, the traditional boundaries between different mathematical fields don't seem to exist." His Colloquium is titled "Structure and Randomness in the Prime Numbers."

The UCLA Science Faculty Research Colloquium Series is designed to

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