Year in Review

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2023’s Biggest Breakthroughs in Math

In 2023, mathematicians improved bounds on Ramsey numbers, a central measure of order in graphs; found a new aperiodic monotile; and discovered a new upper bound to the size of sets without 3-term arithmetic progressions.


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Hiranya Peiris: How to Test If We Live in a Multiverse

November 10, 2014

University College London physicist Hiranya Peiris explains how the multiverse can be tested.

Alan Guth: How Many Two-Headed Cows in a Multiverse?

November 3, 2014

MIT cosmologist Alan Guth, 67, discusses why two-headed cows are an important problem in an infinite multiverse.

Subhash Khot: A Grand Vision for the Impossible

August 12, 2014

Subhash Khot’s bold conjecture is helping mathematicians explore the precise limits of computation.

In Noisy Equations, One Who Heard Music

August 12, 2014

Experts say Martin Hairer’s epic masterpiece in stochastic analysis “created a whole world.”

A Tenacious Explorer of Abstract Surfaces

August 12, 2014

Maryam Mirzakhani’s monumental work draws deep connections between topology, geometry and dynamical systems.

A Brazilian Wunderkind Who Calms Chaos

August 12, 2014

Artur Avila’s solutions to ubiquitous problems in chaos theory have earned him Brazil’s first Fields Medal.

Manjul Bhargava: The Musical, Magical Number Theorist

August 12, 2014

The search for artistic truth and beauty has led Manjul Bhargava to some of the most profound recent discoveries in number theory.

A ‘Rebel’ Without a Ph.D.

March 26, 2014

A conversation with the mathematical physicist Freeman Dyson on quantum electrodynamics, climate change and his latest pet project.