Clay Mathematics Institute

The Clay Research Awards annually recognize outstanding mathematicians, though they remain less widely known than the Millennium Prize Problems.

Current and previous summer schools

The Clay Award for Dissemination of Mathematical Knowledge was introduced in 2015, with the first award being made to Étienne Ghys. The second was made to Roger Penrose in 2018. The rules are as follows:

In furtherance of its mission, the Clay Mathematics Institute funds and organizes summer schools, conferences and workshops, in some cases in partnership with organizations. CMI and its partners also run outreach programs to encourage talented students to pursue mathematical careers.

Measure rigidity theorems, like Ratner’s theorem, have applications beyond dynamics, often studied in homogeneous systems with significant structure.

Abstract: In the past decade convex integration has been established as a powerful and versatile technique for the construction of weak solutions of various nonlinear systems of partial differential equations arising in fluid dynamics, including the Euler and Navier-Stokes equations. The existence theorems obtained in this way come at a high price: solutions are highly […]

P. Etingof, E. Frenkel, and D. Kazhdan proposed an analytic approach to the geometric Langlands correspondence, focusing on quantum states and operators instead of categories and functors.

The winner of the 2021 Clay Research Award is Bhargav Bhatt from the University of Michigan. The award recognises his groundbreaking achievements in commutative algebra, arithmetic algebraic geometry, and topology in the p-adic setting.

A Clay Research Award is made to Søren Galatius (University of Copenhagen) and Oscar Randal-Williams (University of Cambridge) for their profound contributions to the understanding of high dimensional manifolds and their diffeomorphism groups; they have transformed and reinvigorated the subject.

The Clay Mathematics Institute awarded Clay Research Fellowships to Hannah Larson, Alexander Petrov, and Ziquan Zhuang.

The Clay Mathematics Institute congratulated the 2022 Fields Medal winners, including former fellows June Huh and James Maynard, and recipient Maryna Viazovska.

Clay Research Fellowships support recent PhDs with strong research potential, typically lasting until five years beyond their doctoral degree.

The first Clay Award for Dissemination of Mathematical Knowledge honored Étienne Ghys for his research in geometry and efforts to promote mathematics.

Ivan Corwin earned his PhD from New York University’s Courant Institute and studies probability, mathematical physics, and solvable systems, including the Kardar-Parisi-Zhang equation.

CMI is a global organisation dedicated to furthering the beauty, power and universality of mathematical thought. Purpose and Goals CMI is a tax-exempt Private Operating Foundation; the primary objectives and purposes are:

The figure-eight knot complement is described as a quotient of hyperbolic 3-space by a discrete isometry group, with explicit matrix generators and volume formulas provided.

The Clay Mathematics Institute was founded in 1998 by Landon T. Clay, a Harvard graduate and Boston businessman, to advance mathematical knowledge.

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