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A Grand Vision for the Impossible
Subhash Khot’s bold conjecture is helping mathematicians explore the precise limits of computation.
In Noisy Equations, One Who Heard Music
Martin Hairer was named a 2014 Fields medalist for an epic masterpiece in stochastic analysis that colleagues say “created a whole world.”
A Tenacious Explorer of Abstract Surfaces
Maryam Mirzakhani, who became the first woman Fields medalist for drawing deep connections between topology, geometry and dynamical systems, has died of cancer at the age of 40. This is our 2014 profile of her life and work.
A Brazilian Wunderkind Who Calms Chaos
Artur Avila’s solutions to ubiquitous problems in chaos theory have “changed the face of the field,” earning him Brazil’s first Fields Medal.
The Musical, Magical Number Theorist
The search for artistic truth and beauty has led Manjul Bhargava to some of the most profound recent discoveries in number theory, which have helped earn him the Fields Medal.
The New Science of Evolutionary Forecasting
Newly discovered patterns in evolution may help scientists make accurate short-term predictions.
A ‘Rebel’ Without a Ph.D.
A conversation with the mathematical physicist Freeman Dyson on quantum electrodynamics, climate change and his latest pet project.
A Fluid New Path in Grand Math Challenge
A daring speculation offers a potential way forward in one of the great unsolved problems of mathematics: the behavior of the Navier-Stokes equations for fluid flow.
A New Tool to Help Mathematicians Pack
Improvements in how densely spheres and other shapes can be packed together could lead to advances in materials science, deep space communication and theoretical physics.