# Breakthrough Prize in Mathematics

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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^{[1]} and Mark Zuckerberg and others.^{[2]} The annual award comes with a cash gift of $3 million, and up to three laureates are chosen for the **New Horizons in Mathematics Prize,** at $100,000 which is intended for early-career researchers.

## Contents

## MotivationEdit

The founders of the prize have stated that they want to help scientists to be perceived as celebrities again, and to reverse a 50-year "downward trend".^{[3]} They hope that this may make "more young students [...] aspire to be scientists".^{[3]}

## LaureatesEdit

### 2015Edit

The first awards of the Prize, worth $3 million to each recipient, were made in 2014 (for the year 2015) to:^{[4]}

- 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."
^{[5]} - 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."
^{[6]} - 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."
^{[7]} - Terence Tao – "For numerous breakthrough contributions to harmonic analysis, combinatorics, partial differential equations and analytic number theory."
^{[8]} - 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."
^{[9]}

### 2016Edit

The 2016 prize was announced in November 2015 and made to:

- 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."
^{[10]}^{[11]}

### 2017Edit

The 2017 prize was announced in December 2016, and it was made to:

- Jean Bourgain – "For multiple transformative contributions to analysis, combinatorics, partial differential equations, high-dimensional geometry and number theory."
^{[12]}

### 2018Edit

The 2018 prize was announced in December 2017, and it was made to:

- Christopher Hacon and James McKernan - "For transformational contributions to birational algebraic geometry, especially to the minimal model program in all dimensions."
^{[13]}^{[14]}

### 2019Edit

The 2019 prize was announced in October 2018, and it was made to:

- Vincent Lafforgue - "For ground breaking contributions to several areas of mathematics, in particular to the Langlands program in the function field case."
^{[15]}

## New Horizons in Mathematics Prize^{[16]}Edit

- 2016
- André Arroja Neves
- Larry Guth
- (prize was rejected by Peter Scholze)

- 2017
- 2018
- 2019

## See alsoEdit

## NotesEdit

**^**http://www.yurimilner.com**^**Overbye, Dennis (14 December 2013). "$3 Million Prizes Will Go to Mathematicians, Too".*The New York Times*. Retrieved 14 August 2018.- ^
^{a}^{b}Markoff, John (10 November 2015). "Breakthrough Prize Looks to Stars to Shine on Science".*The New York Times*. Retrieved 14 August 2018.Yuri Milner: 'We peaked 50 years ago and it has been a downward slope since then.'

**^**Chang, Kenneth (23 June 2014). "The Multimillion-Dollar Minds of 5 Mathematical Masters".*The New York Times*. Retrieved 14 August 2018.**^**"Mathematics Breakthrough Prize > Laureates > Simon Donaldson". Archived from the original on 2014-11-01. Retrieved 2014-06-24.**^**"Mathematics Breakthrough Prize > Laureates > Maxim Kontsevich". Archived from the original on 2014-11-01. Retrieved 2014-06-24.**^**Mathematics Breakthrough Prize > Laureates > Jacob Lurie**^**"Mathematics Breakthrough Prize > Laureates > Terence Tao". Archived from the original on 2014-11-01. Retrieved 2014-06-24.**^**Mathematics Breakthrough Prize > Laureates > Richard Taylor**^**The New York Times (6 November 2015). "Breakthrough Prizes Give Top Scientists the Rock Star Treatment".*The New York Times*. Retrieved 14 August 2018.**^**Mathematics Breakthrough Prize > Laureates > Ian Agol**^***Breakthrough Prize*, 4 December 2016,*BREAKTHROUGH PRIZE MARKS 5TH ANNIVERSARY CELEBRATING TOP ACHIEVEMENTS IN SCIENCE AND AWARDS MORE THAN $25 MILLION IN PRIZES AT GALA CEREMONY IN SILICON VALLEY***^**Mathematics Breakthrough Prize > Laureates > Christopher Hacon**^**Mathematics Breakthrough Prize > Laureates > James McKernan**^**Mathematics Breakthrough Prize 2019**^**https://breakthroughprize.org/Laureates/3/P2