The Breakthrough Prize in Mathematics is an annual award of the

Breakthrough Prize The Breakthrough Prizes are a set of international awards bestowed in three categories by the Breakthrough Prize Board in recognition of scientific advances. The awards are part of several "Breakthrough" initiatives founded and funded by Yuri Mi ...

series announced in 2013. It is funded by

Yuri Milner Yuri Borisovich (Bentsionovich) Milner (russian: Юрий Борисович (Бенционович) Мильнер; born 11 November 1961) is a Soviet-born Israeli entrepreneur, venture capitalist and physicist. He is a cofounder and former c ...

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.

Motivation

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". They hope that this may make "more young students aspire to be scientists".

Laureates

New Horizons in Mathematics Prize

The past laureates of the ''New Horizons in Mathematics'' prize were: *2016 ** André Arroja Neves **

Larry Guth Lawrence David Guth (born 1977) is a professor of mathematics at the Massachusetts Institute of Technology. Education and career Guth graduated from Yale in 2000, with BS in mathematics. In 2005, he got his PhD in mathematics from the Massach ...

**(prize was rejected by

Peter Scholze Peter Scholze (; born 11 December 1987) is a German mathematician known for his work in arithmetic geometry. He has been a professor at the University of Bonn since 2012 and director at the Max Planck Institute for Mathematics since 2018. He ha ...

) *2017 ** Geordie Williamson **Benjamin Elias **

Hugo Duminil-Copin Hugo Duminil-Copin (born 26 August 1985) is a French mathematician specializing in probability theory. He was awarded the Fields Medal in 2022. Biography The son of a middle school sports teacher and a former female dancer who became a primary ...

**Mohammed Abouzaid *2018 ** Zhiwei Yun ** Wei Zhang **

Maryna Viazovska Maryna Sergiivna Viazovska ( uk, Марина Сергіївна Вязовська, ; born 2 December 1984) is a Ukrainian mathematician known for her work in sphere packing. She is full professor and Chair of Number Theory at the Institute of M ...

**Aaron Naber *2019 ** Chenyang Xu ** Karim Adiprasito ** June Huh ** Kaisa Matomäki ** Maksym Radziwill *2020 **Tim Austin ** Emmy Murphy ** Xinwen Zhu *2021 ** Bhargav Bhatt – "For outstanding work in commutative algebra and arithmetic algebraic geometry, particularly on the development of p-adic cohomology theories." ** Aleksandr Logunov – "For novel techniques to study solutions to elliptic equations, and their application to long-standing problems in nodal geometry." ** Song Sun – "For many groundbreaking contributions to complex differential geometry, including existence results for

Kähler–Einstein metric In differential geometry, a Kähler–Einstein metric on a complex manifold is a Riemannian metric that is both a Kähler metric and an Einstein metric. A manifold is said to be Kähler–Einstein if it admits a Kähler–Einstein metric. The ...

s and connections with moduli questions and singularities." *2022 **Aaron Brown and Sebastian Hurtado Salazar – "For contributions to the proof of

Zimmer's conjecture Zimmer's conjecture is a statement in mathematics "which has to do with the circumstances under which geometric spaces exhibit certain kinds of symmetries." It was named after the mathematician Robert Zimmer. The conjecture states that there can ...

." **

Jack Thorne Jack Thorne FRSL (born 6 December 1978) is a British playwright, television writer, screenwriter, and producer. He is best known for writing the stage play '' Harry Potter and the Cursed Child'', the films '' Wonder'' and '' Enola Holmes'', ...

– "For transformative contributions to diverse areas of algebraic number theory, and in particular for the proof, in collaboration with James Newton, of the automorphy of all symmetric powers of a holomorphic modular newform." ** Jacob Tsimerman – "For outstanding work in analytic number theory and arithmetic geometry, including breakthroughs on the André–Oort and Griffiths conjecture *2023 ** Ana Caraiani – "For diverse transformative contributions to the

Langlands program In representation theory and algebraic number theory, the Langlands program is a web of far-reaching and influential conjectures about connections between number theory and geometry. Proposed by , it seeks to relate Galois groups in algebraic num ...

, and in particular for work with

on the Hodge-Tate period map for Shimura varieties and its applications." ** Ronen Eldan – "For the creation of the stochastic localization method, that has led to significant progress in several open problems in high-dimensional geometry and probability, including Jean Bourgain's slicing problem and the KLS conjecture." ** James Maynard – "For multiple contributions to analytic number theory, and in particular to the distribution of prime numbers."

Maryam Mirzakhani New Frontiers Prize

*2021 ** Nina Holden – "For work in random geometry, particularly on Liouville quantum gravity as a scaling limit of random triangulations." ** Urmila Mahadev – "For work that addresses the fundamental question of verifying the output of a quantum computation." ** Lisa Piccirillo – "For resolving the classic problem that the

Conway knot In mathematics, in particular in knot theory, the Conway knot (or Conway's knot) is a particular knot with 11 crossings, named after John Horton Conway. It is related by mutation to the Kinoshita–Terasaka knot, with which it shares the sa ...

is not smoothly slice." *2022 **Sarah Peluse – "For contributions to arithmetic combinatorics and analytic number theory, particularly with regards to polynomial patterns in dense sets." **Hong Wang – "For advances on the restriction conjecture, the local smoothing conjecture, and related problems." **Yilin Wang – "For innovative and far-reaching work on the Loewner energy of planar curves." *2023 **Maggie Miller – "For work on fibered ribbon knots and surfaces in 4-dimensional manifolds." **Jinyoung Park – "For contributions to the resolution of several major conjectures on thresholds and selector processes." **Vera Traub – "For advances in approximation results in classical combinatorial optimization problems, including the

traveling salesman problem The travelling salesman problem (also called the travelling salesperson problem or TSP) asks the following question: "Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each cit ...

and network design."

Notes

External links