The Wolf Foundation announced that David Kazhdan and Joseph Bernstein had won the prize for their contributions to representation theory and the connections between algebra, geometry, and number theory.
Two researchers from Israel, Prof. David Kashdan of the Hebrew University and Prof. Yosef Bernstein of Tel Aviv University, were announced on October 1, 2026, as the winners of the 2026 Wolf Prize in Mathematics. According to the Wolf Foundation, the prize is awarded to them for their fundamental work in representation theory, automorphic patterns, and algebraic geometry, and for their contribution to the creation of geometric representation theory. The winners were announced at an event at the President's House in Jerusalem; the award ceremony is scheduled for June 2027.
How can we understand the field of research?
In mathematics, a "representation" is a way of describing an abstract structure using operations on a space that can be explored with the tools of linear algebra. It allows us to ask how symmetries work and what seemingly different structures have in common. Geometric representation theory adds tools from geometry and topology to the picture: instead of being satisfied with algebraic formulas, we explore geometric structures related to representations and use them to discover deep connections. This is a simplistic description of a broad field, and the prize recognizes decades of fundamental mathematical work.
The connection between algebra, geometry, and analysis is also relevant to the Langlands program – a network of conjectures and connections linking number theory to representation theory and automorphic patterns. This does not mean that the award is for a single proof of the entire program. The prize committee refers to the conceptual infrastructure and tools that the two helped develop.
David Kashdan: A characteristic of clusters and geometric tools
Kashdan, born in 1946, is known, among other things, for "Kashdan's property (T), a central concept in group theory. His research with George Lustig gave rise to the polynomials and conjectures that bear their names, which influenced representation theory and the development of the geometric approach in the field. Keren Wolf's words also emphasize the breadth of his work, which combined questions from group theory, geometry, and automorphic patterns. Kashdan is also the winner of the Israel Prize in Mathematics and Computer Science for 2012.
Joseph Bernstein: Bridging Equations and Geometry
Bernstein, born in 1945, developed tools for the study of differential operators early in his career and introduced the Bernstein–Sato polynomial. His work on modules of differential operators, and on structures called "perverse sheaves," helped create a common language for representation theory and algebraic geometry. With Alexander Beilinson, he proved a conjecture of Kashdan and Lustig. The foundation also notes his contributions to the study of representations of p-adic groups and automorphic patterns.
Although the prize is shared, the two men's work is not identical: each developed their own research directions and tools. The joint recognition highlights how the contributions come together and have become part of the language of modern mathematics.
Questions and Answers
Have the two received the award yet?
No. The winners were announced on October 1, 2026. According to the report on the event, the award ceremony is scheduled for June 2027.
Is this an award for commercial implementation?
No. The rationale for the award focuses on fundamental research. Some of the ideas in the field have found use in other fields, but the award should not be presented as a product or as a promise of a specific application.
Sources
- Wolf Fund: David Kashdan
- Wolf Foundation: Joseph Bernstein
- Report on the announcement at the President's Office, Ynet
More on the subject on the science website
- George Lustig wins 2022 Wolf Prize in Mathematics
- The 2025 Wolf Prize winners have been announced.
- Nobel Prize statistics in Jewish and Israeli eyes and what the future holds according to the Wolf Prizes
- Wolf Prize winner Jainendra Jain in a special interview: How entangled electrons became composite fermions
- The 2017 Wolf Prize winners in the arts and sciences have been announced
