Breakthrough Prize in Mathematics

Motivation

Laureates

2015

• Simon Donaldson – "For the new revolutionary invariants of 4-dimensional manifolds and for the study of the relation between stability in algebraic geometry and in global differential geometry, both for bundles and for Fano varieties."
• Maxim Kontsevich – "For work making a deep impact in a vast variety of mathematical disciplines, including algebraic geometry, deformation theory, symplectic topology, homological algebra and dynamical systems."
• Jacob Lurie – "For his work on the foundations of higher category theory and derived algebraic geometry; for the classification of fully extended topological quantum field theories; and for providing a moduli-theoretic interpretation of elliptic cohomology."
• Terence Tao – "For numerous breakthrough contributions to harmonic analysis, combinatorics, partial differential equations and analytic number theory."
• Richard Taylor – "For numerous breakthrough results in the theory of automorphic forms, including the Taniyama–Weil conjecture, the local Langlands conjecture for general linear groups, and the Sato–Tate conjecture."

  2016

• Ian Agol – "For spectacular contributions to low dimensional topology and geometric group theory, including work on the solutions of the tameness, virtually Haken and virtual fibering conjectures."

  2017

• Jean Bourgain – "For multiple transformative contributions to analysis, combinatorics, partial differential equations, high-dimensional geometry and number theory."

  2018

• Christopher Hacon and James McKernan - "For transformational contributions to birational algebraic geometry, especially to the minimal model program in all dimensions."

  2019

• Vincent Lafforgue - "For ground breaking contributions to several areas of mathematics, in particular to the Langlands program in the function field case."

  2020

• Alex Eskin - "For revolutionary discoveries in the dynamics and geometry of moduli spaces of Abelian differentials, including the proof of the “magic wand theorem” with Maryam Mirzakhani."

  New Horizons in Mathematics Prize

• 2016
• *André Arroja Neves
• *Larry Guth
• *
• 2017
• *Geordie Williamson
• *Benjamin Elias
• *Hugo Duminil-Copin
• *Mohammed Abouzaid
• 2018
• *Zhiwei Yun
• *Wei Zhang
• *Maryna Viazovska
• *Aaron Naber
• 2019
• *Chenyang Xu
• *Karim Adiprasito
• *June Huh
• *Kaisa Matomäki
• *Maksym Radziwill
• 2020
• *Tim Austin
• *Emmy Murphy
• *Xinwen Zhu