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On July 5th, 2022, Maryna Viazovska was awarded a Fields Medal for her solution of the sphere packing problem in eight dimensions, as well as further contributions to related extremal problems and interpolation problems in Fourier analysis.…

Metric Geometry · Mathematics 2022-07-15 Henry Cohn

This is a popular article about the work of James Maynard, 2022 Fields medalist.

History and Overview · Mathematics 2022-07-11 Andrei Okounkov

This is a popular article about the work of Hugo Duminil-Copin, 2022 Fields medalist.

History and Overview · Mathematics 2022-07-11 Andrei Okounkov

This is a popular article about the work of June Huh, 2022 Fields medalist.

History and Overview · Mathematics 2022-07-11 Andrei Okounkov

This is my laudation for Scholze's Fields medal 2018.

Number Theory · Mathematics 2019-09-17 Michael Rapoport

This paper was motivated by the worldwide May 12 initiative that aims to celebrate, encourage, and inspire women in mathematics. It presents in short how the May 12 initiative has arisen, what are some of the events in the first years, in…

History and Overview · Mathematics 2026-03-11 Diana T. Stoeva

This paper is an exposition, written for the Nieuw Archief voor Wiskunde, about the two recent breakthrough results in the theory of sphere packings. It includes an interview with Henry Cohn, Abhinav Kumar, Stephen D. Miller, and Maryna…

Metric Geometry · Mathematics 2016-09-26 David de Laat , Frank Vallentin

The past decade has seen tremendous progress in our understanding of the behaviour of many probabilistic models at or near their "critical point". On the 5th of July 2022, Hugo Duminil-Copin was awarded the Fields medal for the crucial role…

Probability · Mathematics 2022-07-06 Martin Hairer

This is an expository article discussing some of the work of Uhlenbeck, focusing mainly on work concerning harmonic maps and Yang-Mills fields.

Differential Geometry · Mathematics 2022-05-19 Simon Donaldson

In this explanatory work, we make an attempt to briefly discuss the work and technical achievements of twenty female mathematicians. The work may be useful as a historical resource, but there is very little biography or history, and the…

History and Overview · Mathematics 2021-08-04 Hollis Williams

In 2016, Viazovska famously solved the sphere packing problem in dimension $8$, using modular forms to construct a 'magic' function satisfying optimality conditions determined by Cohn and Elkies in 2003. In March 2024, Hariharan and…

This article is an account of the scientific work of Hugo Duminil-Copin at the time of his award in 2022 of the Fields Medal "for solving longstanding problems in the probabilistic theory of phase transitions in statistical physics,…

Probability · Mathematics 2022-07-06 Geoffrey R. Grimmett

We give a brief account of some of the most spectacular results established by James Maynard for which he has been awarded the Fields Medal.

Number Theory · Mathematics 2022-07-08 Kannan Soundararajan

It is hard to understand spin-one-half fields without reading Weinberg. This paper is a pedagogical footnote to his formalism with an emphasis on the boost matrix, spinors, and Majorana fields.

High Energy Physics - Theory · Physics 2007-05-23 Peter Cahill , Kevin Cahill

Professional sports enhance interaction among athletes through training groups, sponsored events and competitions. Among these, the Olympic Games represent the largest competition with a global impact, providing the participants with a…

Physics and Society · Physics 2024-10-29 Jorge P. Rodríguez , Lluís Arola-Fernández

Biathlon is a unique winter sport that combines precision rifle marksmanship with the endurance demands of cross-country skiing. We develop a Bayesian hierarchical model to predict and understand shooting performance using data from the…

Applications · Statistics 2024-11-05 Manuele Leonelli

Steven Weinberg was a giant of late 20th Century physics on whose shoulders we stand while groping for the science of the 21st Century. This article provides a too-brief summary of a selection of his many achievements -- eight decades of…

History and Philosophy of Physics · Physics 2025-02-18 C. P. Burgess , F. Quevedo

For three Winter Olympics in a row, tiny nation Norway has out-medalled everyone else, in 2026 winning 18 golds, 12 silvers, 11 bronzes, i.e.~41 medals, compared to e.g.~12 + 12 + 9 = 33 for the USA, 10 + 6 + 14 = 30 for home team Italy, 8…

Applications · Statistics 2026-03-02 Nils Lid Hjort

Response to the Comment by Bellessa (arXiv:cond-mat/0006441).

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. del Barco , J. M. Hernandez , J. Tejada , E. M. Chudnovsky , E. Molins

Some personal memories of the Nobel Prize Winners 2022 Alain Aspect, John Clauser, and Anton Zeilinger are summarized and the significance of their works is described in a historical perspective.

History and Philosophy of Physics · Physics 2023-02-09 Reinhold A. Bertlmann
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