Geometric measure theory provides a framework for analysing the interplay between geometric structures and measure, and is particularly adept at characterising the complexity of fractal sets through ...

Geometric measure theory provides a rigorous framework for studying and quantifying the properties of sets and surfaces in Euclidean spaces. This discipline blends techniques from differential ...

Six mathematicians from the United States, Europe and Canada have emerged as leading contenders for the 2026 Fields Medal, ...

Chinese maths star Wang Hong has emerged as a leading contender for the 2026 Fields Medal after solving the three-dimensional Kakeya conjecture, a century-old problem in geometric measure theory.

"Hearst Magazines and Yahoo may earn commission or revenue on some items through these links." Two mathematicians now say they’ve made progress on a very old unsolved math problem. The problem ...

"Hearst Magazines and Yahoo may earn commission or revenue on some items through these links." Two mathematicians now say they’ve made progress on a very old unsolved math problem. The problem ...

Jason Lotay explains how mathematicians studying special geometries are collaborating with physicists to explore M-theory, an 11-dimensional description of the world that unifies the various string ...

A 125-page proof posted to arXiv may represent a huge breakthrough in geometric measure theory. This problem has implications in fields like encryption, computer science, and number theory. How much ...