School of Mathematics

John Richard Bond, Member (2018) and Visitor (2012) in the School of Natural Sciences, received the Shaw Prize in Astronomy alongside George Efstathiou, Visitor (1986) in the School, for their pioneering research in cosmology, while Kenji Fukaya, Member (2002) in the School of Mathematics, was awarded the Shaw Prize in Mathematical Sciences for his field-shaping work on symplectic geometry.

Theoretical computer scientist Ryan Williams returns to the Institute this fall as the architect of a proof described as “stunning” and “massive.” Ben Brudaker of Quanta Magazine interviewed him about the revolutionary result.

Michael Harris, AMIAS Member (1983–84, 2011) in the School of Mathematics; Brigitte Bedos-Rezak, Member (1996–97) in the School of Historical Studies; and Valerie Ann Smith, Visitor (2005–06) in the School, have been honored with election to the American Philosophical Society this year.

Robbert Dijkgraaf, who served as IAS Director and Leon Levy Professor from 2012–22, has been elected as a fellow of the Royal Society, alongside Shivaji Sondhi, Member (1998) in the School of Natural Sciences, and Jacob Tsimerman, incoming Distinguished Visiting Professor (2025–26) in the School of Mathematics. 

Francesca Trivellato, Andrew W. Mellon Professor in the School of Historical Studies, has been elected as a member of the American Academy of Arts & Sciences, joining nearly 250 honorees recognized for their expertise and leadership. A number of other Institute-affiliated scholars, representing all four IAS Schools, were also elected.

Nine past and incoming scholars across three IAS Schools—Historical Studies, Mathematics, and Social Science—have received 2025 Guggenheim Fellowships. The scholars were recognized for "both prior career achievement and exceptional promise" in fields ranging from classical archaeology and U.S. history to graph theory and combinatorics.

Four of the six recipients of the International Congress of Basic Science's 2025 Basic Science Lifetime Award are past IAS scholars: Shigefumi Mori, George Lusztig, and Robert Tarjan from the School of Mathematics and David Gross from the School of Natural Sciences. The award is bestowed upon “extraordinary” scientists in their respective fields.

Masaki Kashiwara, Member (1977–78) in the School of Mathematics, has been awarded the 2025 Abel Prize, often described as the mathematics equivalent of the Nobel Prize, for his “fundamental contributions to algebraic analysis and representation theory, in particular the development of the theory of D-modules and the discovery of crystal bases.”