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The Breakthrough Prize in Mathematics is an annual award of the Breakthrough Prize series announced in 2013.
It is funded by Yuri Milner and Mark Zuckerberg and others. The annual award comes with a cash gift of $3 million. The Breakthrough Prize Board also selects up to three laureates for the New Horizons in Mathematics Prize which awards $100,000 to early-career researchers. Starting in 2021 (prizes announced in September 2020), the $50,000 Maryam Mirzakhani New Frontiers Prize is also awarded to a number of women mathematicians who have completed their PhDs within the past two years.
Laureates
2023:
- Daniel Spielman (USA) (b. 1970) – "For breakthrough contributions to theoretical computer science and mathematics, including to spectral graph theory, the Kadison-Singer problem, numerical linear algebra, optimization, and coding theory."
2022:
- Takurō Mochizuki 望月 拓郎 (Japan) (b. 1972) – "For monumental work leading to a breakthrough in our understanding of the theory of bundles with flat connections over algebraic varieties, including the case of irregular singularities."
2021:
- Sir Martin Hairer KBE FRS (UK) (b. 1975) – "For transformative contributions to the theory of stochastic analysis, particularly the theory of regularity structures in stochastic partial differential equations."
2020:
- Alex Eskin (USA) (b. 1965) – "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."
2019:
- Vincent Lafforgue (France) (b. 1974) – "For ground breaking contributions to several areas of mathematics, in particular to the Langlands program in the function field case."
2018:
- Christopher Derek Hacon FRS (UK-Italy-USA) (b. 1972) and James McKernan FRS (UK) (b. 1964) – "For transformational contributions to birational algebraic geometry, especially to the minimal model program in all dimensions."
2017:
- Jean, Baron Bourgain (Belgium) (1954 – 2018) – "For multiple transformative contributions to analysis, combinatorics, partial differential equations, high-dimensional geometry and number theory."
2016:
- Ian Agol (USA) (b. 1970) – "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."
2015:
- Sir Simon Kirwan Donaldson FRS (UK) (b. 1957) – "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 Lvovich Kontsevich (Russia-France) (b. 1964) – "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 Alexander Lurie (USA) (b. 1977) – "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 Chi-Shen Tao FAA FRS (Australia-USA) (b. 1975) – "For numerous breakthrough contributions to harmonic analysis, combinatorics, partial differential equations and analytic number theory."
- Richard Lawrence Taylor (UK) (b. 1962) – "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."