Shaw Prize for Mathematical Sciences: Winners by Year

Award years

• 2026

  • Camillo De Lellis, Emmanuel Candès

    For their breakthrough contributions to the use of deep techniques from mathematical analysis to rigorously understand applied problems in information theory, signal processing and statistics on the one hand, and to the study of singularities in geometric measure theory and fluid dynamics on the other.

• 2025

  • Kenji Fukaya

    For his pioneering work on symplectic geometry, especially for envisioning the existence of a category — nowadays called the Fukaya category — consisting of Lagrangians on a symplectic manifold, for leading the monumental task of constructing it, and for his subsequent ground-breaking and impactful contributions to symplectic topology, mirror symmetry, and gauge theory.

• 2024

  • Peter Sarnak

    For his development of the arithmetic theory of thin groups and the affine sieve, by bringing together number theory, analysis, combinatorics, dynamics, geometry and spectral theory.

• 2023

  • Shing-Tung Yau, Vladimir Drinfeld

    For their contributions related to mathematical physics, to arithmetic geometry, to differential geometry and to Kähler geometry.

• 2022

  • Ehud Hrushovski, Noga Alon

    For their remarkable contributions to discrete mathematics and model theory with interaction notably with algebraic geometry, topology and computer sciences.

• 2021

  • Jean-Michel Bismut, Jeff Cheeger

    For their remarkable insights that have transformed, and continue to transform, modern geometry.

• 2020

  • Alexander Beilinson, David Kazhdan

    For their huge influence on and profound contributions to representation theory, as well as many other areas of mathematics.

• 2019

  • Michel Talagrand

    For his work on concentration inequalities, on suprema of stochastic processes and on rigorous results for spin glasses.

• 2018

  • Luis Caffarelli

    For his groundbreaking work on partial differential equations, including creating a theory of regularity for nonlinear equations such as the Monge-Ampère equation, and free-boundary problems such as the obstacle problem, work that has influenced a whole generation of researchers in the field.

• 2017

  • Claire Voisin, János Kollár

    For their remarkable results in many central areas of algebraic geometry, which have transformed the field and led to the solution of long-standing problems that had appeared out of reach.

• 2016

  • Nigel J. Hitchin

    For his far-reaching contributions to geometry, representation theory and theoretical physics. The fundamental and elegant concepts and techniques that he has introduced have had wide impact and are of lasting importance.

• 2015

  • Gerd Faltings, Henryk Iwaniec

    For their introduction and development of fundamental tools in number theory, allowing them as well as others to resolve some longstanding classical problems.

• 2014

  • George Lusztig

    For his fundamental contributions to algebra, algebraic geometry, and representation theory, and for weaving these subjects together to solve old problems and reveal beautiful new connections.

• 2013

  • David L. Donoho

    For his profound contributions to modern mathematical statistics and in particular the development of optimal algorithms for statistical estimation in the presence of noise and of efficient techniques for sparse representation and recovery in large data-sets.

• 2012

  • Maxim Kontsevich

    For his pioneering works in algebra, geometry and mathematical physics and in particular deformation quantization, motivic integration and mirror symmetry.

• 2011

  • Demetrios Christodoulou, Richard S. Hamilton

    For their highly innovative works on nonlinear partial differential equations in Lorentzian and Riemannian geometry and their applications to general relativity and topology.

• 2010

  • Jean Bourgain

    For his profound work in mathematical analysis and its application to partial differential equations, mathematical physics, combinatorics, number theory, ergodic theory and theoretical computer science.

• 2009

  • Clifford H. Taubes, Simon Donaldson

    For their many brilliant contributions to geometry in 3 and 4 dimensions.

• 2008

  • Ludvig Faddeev, Vladimir Arnold

    For their widespread and influential contributions to Mathematical Physics.

• 2007

  • Richard Taylor, Robert Langlands

    For initiating and developing a grand unifying vision of mathematics that connects prime numbers with symmetry.

• 2006

  • David Mumford, Wentsun Wu (吳文俊)

    For David Mumford's contributions to mathematics, and to the new interdisciplinary fields of pattern theory and vision research; and for Wentsun Wu's contributions to the new interdisciplinary field of mathematics mechanization.

• 2005

  • Andrew Wiles

    For his proof of Fermat's Last Theorem.

• 2004

  • Shiing-Shen Chern

    For his initiation of the field of global differential geometry and his continued leadership of the field, resulting in beautiful developments that are at the centre of contemporary mathematics, with deep connections to topology, algebra and analysis, in short, to all major branches of mathematics of the last sixty years.