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Mathematicians Cross the Line to Get to the Point
A new paper establishes a long-conjectured bound about the size of the overlap between sets of lines and points.
New Proof Threads the Needle on a Sticky Geometry Problem
A new proof marks major progress toward solving the Kakeya conjecture, a deceptively simple question that underpins a tower of conjectures.
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.
The Journey to Define Dimension
The concept of dimension seems simple enough, but mathematicians struggled for centuries to precisely define and understand it.
Mathematicians Set Numbers in Motion to Unlock Their Secrets
A new proof demonstrates the power of arithmetic dynamics, an emerging discipline that combines insights from number theory and dynamical systems.
The Map of Mathematics
Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.
3-D Fractals Offer Clues to Complex Systems
By folding fractals into 3-D objects, a mathematical duo hopes to gain new insight into simple equations.
Strange Stars Pulse to the Golden Mean
Nature has revealed peculiar mathematical objects that connect order and chaos.