Representation theory was initially dismissed. Today, it’s central to much of mathematics.
Mathematicians try to figure out when problems can be solved using current knowledge — and when they have to chart a new path instead.
Vesselin Dimitrov’s proof of the Schinzel-Zassenhaus conjecture quantifies the way special values of polynomials push each other apart.
The legendary mathematician, who died on April 11, was curious, colorful and one of the greatest problem-solvers of his generation.
A landmark proof in computer science has also solved an important problem called the Connes embedding conjecture. Mathematicians are working to understand it.
Computer scientists established a new boundary on computationally verifiable knowledge. In doing so, they solved major open problems in quantum mechanics and pure mathematics.
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