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 ...

In James Bell’s math class at Chapman High School, sophomores are trying to pinpoint exactly where two lines cross. 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 ...

Whenever I get coffee with a mathematician, I always ask which of the seven Millennium Problems they think will be next to ...

Solving partial differential equations (PDEs) with numerical methods has a pivotal role in a wide variety of disciplines in science and engineering, with applications such as topology and design ...

Art of the Problem The mathematics of shared secrets, polynomials, perfect secrecy, and the geometry of trust Posted: March 29, 2026 | Last updated: March 29, 2026 When no single person should hold a ...

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 ...

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 ...

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² – 1) or ...

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