Michel Talagrand has been awarded the Abel Prize, one of the highest honors in mathematics, for applying tools from high-dimensional geometry to complex probability problems. Jordana Cepelewicz reports: quantamagazine.org/michel-talagra…

We’re used to one idea of a computer, but machines that perform computations can exist in a wide variety of practical or impractical arrangements. Mathematicians recently proved that any computation can be solved with origami. Jordana Cepelewicz reports: quantamagazine.org/how-to-build-a…

Modular forms are some of math's most beautiful and mysterious functions. When graphed, they're mesmerizing: an infinite cascade of flower petals, depicted in all the colors of the rainbow. But what exactly are they? I attempt to explain: quantamagazine.org/behold-modular…

What is a mathematical proof? What we tend to think of as an eternal, immutable truth, is perhaps better understood as a social construct, number theorist Andrew Granville explains. Jordana Cepelewicz reports:
quantamagazine.org/why-mathematic…

A geometry problem called the Kakeya conjecture has surprising connections to harmonic analysis, number theory and even physics. quantamagazine.org/new-proof-thre…

What a year in combinatorics this has been! (And it's only half over.)

Mathematicians have gained insights that could help illuminate dynamical systems ranging from the motion of planets around the sun to the spread of disease through a population.
quantamagazine.org/flow-proof-hel…

I had a lot of fun learning about what a chaotic mess solar systems can be, and the math underlying that chaos: quantamagazine.org/new-math-shows…

Mathematical objects called (𝑛, 𝑘, 𝑡) designs have been used to help develop error-correcting codes, design experiments, test software, and win sports brackets and lotteries. quantamagazine.org/mathematicians…

Modular forms are beautiful and weird and honestly kind of magical. Recent work provided new insights into the most abundant yet mysterious modular forms out there: quantamagazine.org/long-sought-ma…

This Quanta Magazine article is enormous fun, full of things I should have known but didn’t. I’d never heard of Choe’s hexagons before, and I’d never pondered the asymptotics of the surface of a unit-volume ball in n dimensions.

S_n → √(2 e π n)

quantamagazine.org/mathematicians…

‘Nasty’ Geometry Breaks Decades-Old Tiling Conjecture quantamagazine.org/nasty-geometry… via Quanta Magazine

Very cool article Jordana Cepelewicz! Rachel Greenfeld and Terry Tao settle the conjecture that any (mono)tiling of Euclidean space is periodic -- by disproving it (in high dimension)!

Few drugs for Alzheimer’s disease exist. Those that do exist offer minimal meaningful benefits to patients with the disease.

It's worth considering why. 🧵(1/13)