"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."
"Ana Caraiani was given a challenging problem from her adviser, the mathematician Andrew Wiles. He’d recently garnered fame for his 1994 proof of Fermat’s Last Theorem, but Caraiani had less luck with her assigned problem. Still, although she ended up making no significant headway, she remained undaunted."
The 2021 Shaw Prize in Mathematics has been awarded to Jean-Michel
Bismut (1984, 1994) and Jeff Cheeger (1972,
1977–78, 1995), former Members in the School of Mathematics.
The pair shares the award for their “remarkable insights that
"The Institute for Advanced Study doesn’t have any students or classes. There’s no regular daily agenda full of meetings and conferences. The scholars here don’t even have to research any specific topic. They could spend their whole day walking the grounds or sitting by the lake."
Camillo De Lellis, IBM von Neumann Professor in the School of Mathematics, has been awarded the Antonio Feltrinelli Prize for Mathematics, Mechanics and Applications. Additionally, Elia Bruè, current Member in the School, has been awarded the academy's Gioacchino Iapichino Prize.
"The Rockmore theorem made its first—and perhaps
only—named appearance in print in 1977, in the
journal Physics Letters, Volume 72B, No. 4. A
photocopy of the journal page hung on my father’s office
door, at Rutgers University, in New Jersey. The...
"Over the past century, quantum field theory has proved to be
the single most sweeping and successful physical theory ever
invented. It is an umbrella term that encompasses many specific
quantum field theories — the way “shape” covers