"In a nearly 400-page paper posted in March, the mathematicians Mohammed Abouzaid and Andrew Blumberg of Columbia University have constructed a major extension of one of the biggest advances in geometry in recent decades."
"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
have...
"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...
IAS Director and Leon Levy Professor Robbert Dijkgraaf and Professor Nati Seiberg speak with Quanta Magazine about Quantum Field Theory and consider what a complete mathematical understanding could mean to physics.
For Jelani
Nelson, algorithms represent a wide-open playground. “The
design space is just so broad that it’s fun to see what you can
come up with,” he said.
Yet the algorithms Nelson devises obey real-world constraints —
chief among them the fact...