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 Mark Elliot Zuckerberg (; born ) is an American business magnate, internet entrepreneur, and philanthropist. He is known for co-founding the social media website Facebook and its parent company Meta Platforms (formerly Facebook, Inc.), of ...

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 André — sometimes transliterated as Andre — is the French and Portuguese form of the name Andrew, and is now also used in the English-speaking world. It used in France, Quebec, Canada and other French-speaking countries. It is a variation o ...

** Larry Guth **(prize was rejected by Peter Scholze) *2017 ** Geordie Williamson **Benjamin Elias ** Hugo Duminil-Copin **Mohammed Abouzaid *2018 **

Zhiwei Yun Zhiwei Yun (; born September 1982) is a Professor of Mathematics at MIT specializing in number theory, algebraic geometry and representation theory, with a particular focus on the Langlands program. He was previously a C. L. E. Moore instructor ...

** Wei Zhang ** Maryna Viazovska **Aaron Naber *2019 ** Chenyang Xu ** Karim Adiprasito **

June Huh June Huh (full name: June E Huh, ; born 1983) is an Korean-American mathematician who is currently a professor at Princeton University. Previously, he was a professor at Stanford University. He was awarded the Fields Medal in 2022 and a MacAr ...

Kaisa Matomäki Kaisa Sofia Matomäki (born April 30, 1985) is a Finnish mathematician specializing in number theory. Since September 2015, she has been working as an Academic Research Fellow in the Department of Mathematics and Statistics, University of Turku, T ...

Maksym Radziwill Maksym Radziwill is a Polish-Canadian mathematician specializing in number theory. He is currently a professor of mathematics at the California Institute of Technology. Life Radziwill graduated from McGill University in Montreal in 2009, and ...

*2020 **Tim Austin **

Emmy Murphy Emmy Murphy is an American mathematician and a professor at Princeton University who works in the area of symplectic topology, contact geometry and geometric topology. Education Murphy graduated from the University of Nevada, Reno in 2007, th ...

Xinwen Zhu Xinwen Zhu (; born 1982 in Sichuan) is a Chinese mathematician and professor at Stanford University. His work deals primarily with geometric representation theory and in particular the Langlands program, tying number theory to algebraic geomet ...

*2021 ** Bhargav Bhatt – "For outstanding work in commutative algebra and arithmetic algebraic geometry, particularly on the development of

p-adic cohomology In mathematics, p-adic cohomology means a cohomology theory for varieties of characteristic ''p'' whose values are modules over a ring of ''p''-adic integers. Examples (in roughly historical order) include: * Serre's Witt vector cohomology * Mon ...

theories." ** Aleksandr Logunov – "For novel techniques to study solutions to elliptic equations, and their application to long-standing problems in nodal geometry." **

Song Sun Song Sun (, born in 1987) is a Chinese mathematician whose research concerns geometry and topology. A Sloan Research Fellow, he is a professor at the Department of Mathematics of the University of California, Berkeley, where he has been since 2018 ...

– "For many groundbreaking contributions to complex differential geometry, including existence results for Kähler–Einstein metrics and connections with moduli questions and singularities." *2022 **Aaron Brown and Sebastian Hurtado Salazar – "For contributions to the proof of Zimmer's conjecture." **

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'', a ...

– "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 Jacob Tsimerman (born 1988) is a Canadian mathematician at the University of Toronto specialising in number theory and related areas. He was awarded the SASTRA Ramanujan Prize in the year 2015 in recognition for his work on the André–Oort con ...

– "For outstanding work in analytic number theory and arithmetic geometry, including breakthroughs on the André–Oort and Griffiths conjecture *2023 **

Ana Caraiani Ana Caraiani (born 1985) is a Romanian-American mathematician, who is a Royal Society University Research Fellow and Professor of Pure Mathematics at Imperial College London. Her research interests include algebraic number theory and the Langland ...

– "For diverse transformative contributions to the Langlands program, and in particular for work with Peter Scholze on the Hodge-Tate period map for Shimura varieties and its applications." **

Ronen Eldan Ronen Eldan ( he, רונן אלדן) is an Israeli mathematician. Eldan is a professor at the Weizmann Institute of Science working on probability theory, mathematical analysis, theoretical computer science and the theory of machine learning. He ...

– "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 Nina Holden is a Norwegian mathematician interested in probability theory and stochastic processes, including graphons, random planar maps, the Schramm–Loewner evolution, and their applications to quantum gravity. She is a Junior Fellow at the ...

– "For work in random geometry, particularly on

Liouville quantum gravity In physics, Liouville field theory (or simply Liouville theory) is a two-dimensional conformal field theory whose classical equation of motion is a generalization of Liouville's equation. Liouville theory is defined for all complex values of the ...

as a scaling limit of random triangulations." **

Urmila Mahadev Urmila Mahadev is an American mathematician and theoretical computer scientist known for her work in quantum computing and quantum cryptography. Education and career Mahadev is originally from Los Angeles, where her parents are physicians. She b ...

– "For work that addresses the fundamental question of verifying the output of a quantum computation." **

Lisa Piccirillo Lisa Marie Piccirillo (born 1990 or 1991)''The Boston Globe'A math problem stumped experts for 50 years. This grad student from Maine solved it in days August 20, 2020; print title: "A Tough Knot to Crack," ''The Boston Globe Magazine'' (Augus ...

– "For resolving the classic problem that the Conway knot 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