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polynomials

June Huh at the Institute for Advanced Study in Princeton, N.J.
algebraic geometry

A Path Less Taken to the Peak of the Math World

June 27, 2017

June Huh thought he had no talent for math until a chance meeting with a legendary mind. A decade later, his unorthodox approach to mathematical thinking has led to major breakthroughs.

Illustration: boxing gloves
Abstractions blog

Graph Isomorphism Vanquished — Again

January 14, 2017

Just five days after posting a retraction, László Babai announced that he had fixed the error in his landmark graph isomorphism algorithm.

Illustration: boxing glove & graph
Abstractions blog

Complexity Theory Problem Strikes Back

January 5, 2017

The legendary graph isomorphism problem may be harder than a 2015 result seemed to suggest.

3D "Basilica" Julia set
geometry

3-D Fractals Offer Clues to Complex Systems

January 3, 2017

By folding fractals into 3-D objects, a mathematical duo hopes to gain new insight into simple equations.

profile

The Oracle of Arithmetic

June 28, 2016

At 28, Peter Scholze is uncovering deep connections between number theory and geometry.

combinatorics

Simple Set Game Proof Stuns Mathematicians

May 31, 2016

A new series of papers has settled a long-standing question related to the popular game in which players seek patterned sets of three cards.

Computer Science

Landmark Algorithm Breaks 30-Year Impasse

December 14, 2015

Computer scientists are abuzz over a fast new algorithm for solving one of the central problems in the field.

Mathematics

‘Outsiders’ Crack 50-Year-Old Math Problem

November 24, 2015

Three computer scientists have solved a problem central to a dozen far-flung mathematical fields.