Search Clay Mathematics Institute

  • About
    About
    • About
    • History
    • Principal Activities
    • Who’s Who
    • CMI Logo
    • Policies
  • Programs & Awards
    Programs & Awards
    • Programs & Awards
    • Funded programs
    • Fellowship Nominations
    • Clay Research Award
    • Dissemination Award
  • People
  • The Millennium Prize Problems
    The Millennium Prize Problems
    • The Millennium Prize Problems
    • Birch and Swinnerton-Dyer Conjecture
    • Hodge Conjecture
    • Navier-Stokes Equation
    • P vs NP
    • Poincaré Conjecture
    • Riemann Hypothesis
    • Yang-Mills & the Mass Gap
    • Rules for the Millennium Prize Problems
  • Online resources
    Online resources
    • Online resources
    • Books
    • Video Library
    • Lecture notes
    • Collections
      Collections
      • Collections
      • Euclid’s Elements
      • Ada Lovelace’s Mathematical Papers
      • Collected Works of James G. Arthur
      • Klein Protokolle
      • Notes of the talks at the I.M.Gelfand Seminar
      • Quillen Notebooks
      • Riemann’s 1859 Manuscript
  • Events
  • News

Home — News — 2024 Clay Research Award

2024 Clay Research Award

Date: 01 May 2024

Image of the Clay Research Award
Newton and Thorne

James Newton and Jack Thorne

A Clay Research Award is made to James Newton (Oxford) and Jack Thorne (Cambridge) in recognition of their remarkable proof of the existence of the symmetric power functorial lift for Hilbert modular forms.

The conjecture that the symmetric powers of automorphic representations associated to classical and Hilbert modular forms should themselves be automorphic is one of the fundamental conjectures of the programme introduced by Langlands in the late 1960’s, indeed it was cited by Langlands as a prototype test case for his conjectures. Building on earlier work of Clozel and Thorne, Newton and Thorne have written a series of ingenious papers proving this result using a very detailed application of modularity lifting results to the associated Galois representations. The proof marks a milestone in work on the Langlands programme.

Paul Nelson

Paul Nelson

A Clay Research Award is made to Paul Nelson (Aarhus) in recognition of his groundbreaking contributions to the analytic theory of automorphic forms.  His work has resulted in the first convexity-breaking bounds for a large class of L-functions on the critical line (including all the standard ones of GL(n)). This marks a signficant advance in a field initiated one hundred years ago by Hermann Weyl in the context of the Riemann Zeta function.  Nelson analyzes L-values via certain associated automorphic periods. His powerful approach involves many ingredients, including a refinement of the orbit method that he developed in earlier work with Venkatesh, and an analysis of the geometric side of an appropriate Relative Trace Formula, which facilitates the use of Amplification.

Share

More news

See all news
23 July 2026

2026 Fields Medals

The Clay Mathematics Institute extends its heartfelt congratulations to former Clay Research Fellow John Pardon (2015-2020) and 2026 Clay Research Awardees Yu Deng and Hong Wang who, along with Jacob Tsimerman, were awarded 2026 Fields Medals by the IMU at a special ceremony in Philadelphia, PA, on 23 July.

Read more
Photo of Martin Bridson
20 July 2026

Frontiers of Science Prize

Congratulations to former Clay Research Fellows Dennis Gaitsgory, Ben Green, Sergei Gukov, Adrian Ioana, Elon Lindenstrauss, James Maynard, and Terence Tao, and to CMI president Martin Bridson on being awarded 2026 Frontiers of Science Prizes. The prizes will be presented at the International Congress of Basic Sciences in Beijing on August 9, 2026.

Read more
Anna Skorobogatova
19 May 2026

Maryam Mirzakhani New Frontiers Prize

Congratulations to Clay Research Fellow Anna Skorobogatova who has been awarded a 2026 Maryam Mirzakhani New Frontiers Prize for her notable contributions in geometric measure theory, which uses techniques from analysis to tackle geometric problems such as finding surfaces of minimal area. In a series of papers with collaborators, she resolved a long-standing question about […]

Read more
Image of the Clay Research Award
14 April 2026

2026 Clay Research Awards

2026 Clay Research Awards are made to Tuomas Orponen, Pablo Shmerkin, Hong Wang, and Joshua Zahl; to Robert Burklund, Jeremy Hahn, Ishan Levy, and Tomer Schlank; and to Yu Deng and Zaher Hani. Orponen, Shmerkin, Wang, and Zahl A Clay Research Award is made to Tuomas Orponen (Jyväskylä), Pablo Shmerkin (UBC), Hong Wang (IHES and NYU), and Joshua Zahl (Nankai) in recognition of their remarkable […]

Read more
See all news
  • Privacy Policy
  • Contact CMI

© 2026 Clay Mathematics Institute

Site by One