Symplectic Geometry

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.

Three past IAS scholars representing the Schools of Mathematics and Natural Sciences have been named among the 2025 Breakthrough Prize Foundation laureates: Dennis Gaitsgory, John Pardon, and Gerard 't Hooft. Popularly known as "the Oscars of Science," the Breakthrough Prize honors scholars who are "driving remarkable discoveries" in their fields.

Agustin Moreno, past Member in the School of Mathematics (2021–23), in collaboration with an engineer at NASA's Jet Propulsion Laboratory, has devised new tools for cataloging space orbits using symplectic geometry, helping to reunite two fields which have long since been growing apart.