Polynomial optimization concerns the problem of finding global minima or maxima of multivariate polynomial functions subject to polynomial constraints. Such problems are inherently nonconvex and often ...

Vesselin Dimitrov’s proof of the Schinzel-Zassenhaus conjecture quantifies the way special values of polynomials push each other apart. In the physical world, objects often push each other apart in an ...

The grandest project in mathematics has received a rare gift, in the form of a mammoth 350-page paper posted in February that will change the way researchers around the world investigate some of the ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...

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Think your basic math skills are still in good shape? There's only one way to find out. 🔢This quiz covers the kind of math ...

In new research, mathematicians have narrowed down one of the biggest outstanding problems in math. Huge breakthroughs in math and science are usually the work of many people over many years. Seven ...