geometry
The New Math of Wrinkling
A comprehensive mathematical framework treats wrinkling patterns as elegant solutions to geometric problems.
neural networks
How Transformers Seem to Mimic Parts of the Brain
Neural networks originally designed for language processing turn out to be great models of how our brains understand places.
2022 Fields and Abacus Medals
The Scientist Who Developed a New Way to Understand Communication
Mark Braverman has spent his career translating thorny problems into the language of information complexity.
neural networks
Will Transformers Take Over Artificial Intelligence?
A simple algorithm that revolutionizes how neural networks approach language is now taking on image classification as well. It may not stop there.
mathematical physics
A New Theory for Systems That Defy Newton’s Third Law
In nonreciprocal systems, where Newton’s third law falls apart, “exceptional points” are helping researchers understand phase transitions and possibly other phenomena.
graph theory
How Big Data Carried Graph Theory Into New Dimensions
Researchers are turning to the mathematics of higher-order interactions to better model the complex connections within their data.
polynomials
Mathematicians Resurrect Hilbert’s 13th Problem
Long considered solved, David Hilbert’s question about seventh-degree polynomials is leading researchers to a new web of mathematical connections.
artificial intelligence
How Close Are Computers to Automating Mathematical Reasoning?
AI tools are shaping next-generation theorem provers, and with them the relationship between math and machine.
Abstractions blog
How and Why Computers Roll Loaded Dice
Researchers are one step closer to injecting probability into deterministic machines.