Primes

The 2023 New Horizons in Mathematics Prize, a renowned award which honors the work of early-career mathematicians, went to past Veblen Research Instructor Ana Caraiani (2013–16), recent von Neumann Fellow Ronen Eldan (2021–22), and current Member James Maynard.

"In a paper posted in September, Paul Nelson of the Institute for Advanced Study has solved the subconvexity problem, a kind of lighter-weight version of Riemann’s question. The proof is a significant achievement on its own and teases the possibility that even greater discoveries related to prime numbers may be in store."

Grand ideas have a way of turning up in unusual settings, far from an office or a chalkboard. Months ago, Quanta Magazine set out to photograph some of the world’s most accomplished scientists and mathematicians, including former Member Yitang Zhang...

PBS THIRTEEN's Counting From Infinity: Yitang Zhang and the Twin Prime Conjecture chronicles a string of mathematical discoveries that began with a solution to the Twin Prime Conjecture. In 2013, Yitang Zhang, Member (2014) in the School of...

Proving the Riemann hypothesis remains arguably the most important unsolved problem in pure mathematics—one whose solution would fetch a $1 million Millennium Prize from the Clay Mathematics Institute. Conversely, as the number theorist Enrico...

Come the middle of March, a remotely curious college-hoops observer, innocently typing “March Madness” into Google, encounters a swarm of numbers related to the N.C.A.A.’s annual basketball tournament. ... Ken Ono, Member (1995–97) in the School of...