Professor Herbert Spohn has been appointed as a Clay Senior Scholar from August to December 2021 to participate in Universality and Integrability in Random Matrix Theory and Interacting Particle Systems at MSRI.
Professor Alice Guionnet has been appointed as a Clay Senior Scholar from August to December 2021 to participate in Universality and Integrability in Random Matrix Theory and Interacting Particle Systems at MSRI.
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.
His profound contributions include the development, in joint work with M. Morrow and P. Scholze, of a unified p-adic cohomology theory (prismatic cohomology) and, in joint work with J. Lurie, a p-adic Riemann-Hilbert functor. Striking applications of this work include Bhatt’s resolution of longstanding problems in commutative algebra, in particular concerning the Cohen-Macaulay property and Kodaira vanishing up to finite covers. These results have in turn fuelled startling progress on the minimal model program in mixed characteristic.
Will Sawin obtained his PhD in 2016 from Princeton University, under the supervision of Nicholas Katz. Since then he has worked with Emmanuel Kowalski as a Junior Fellow at ETH Zürich.
Sawin’s research is wide ranging, but focused on the interactions of analytic number theory and algebraic geometry. Amongst the many areas in which he has made ground-breaking contributions are the application of étale cohomology to estimates of exponential sums over finite fields and, with Tim Browning, the adaptation of classical counting arguments in analytic number theory to explore compactly supported cohomology in spaces of interest in algebraic geometry. In a recent paper with Kowalski and Philippe Michel, he used ℓ-adic cohomology to derive new bounds on certain bilinear forms that regularly arise in the study of automorphic forms. There are important applications, for example in the theory of twisted L-functions. He has also made many wider contributions to the mathematical community, not least through regular posts on diverse topics on the MathOverflow website.
Will was appointed as a Clay Research Fellow for a term of three years beginning 1 July 2018.