Introduction and Proofs (MIT 6.042J, Lecture 1)
Tom Leighton · 44:09
Probability and Counting
Joe Blitzstein · 46:29
Story Proofs, Axioms of Probability
Joe Blitzstein · 45:40
Structure and Randomness in the Prime Numbers
Terence Tao · 47:51
Mathematics and Computation: The Landscape of P vs. NP
Avi Wigderson · 1:02:49
What Can the Theory of Cryptography Tell Us About AI Verification?
Shafi Goldwasser · 1:02:15
Structure and Randomness in the Prime Numbers
Fields Medalist & James and Carol Collins Chair in Mathematics
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
Story Proofs, Axioms of Probability
Next · Step 5Mathematics and Computation: The Landscape of P vs. NP