Automorphism structures in polynomial algebras constitute a central theme in modern algebra, concerned with the classification and behaviour of bijective endomorphisms of polynomial rings. In the ...

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 ...

Before being mortally wounded in a duel at age 20, Évariste Galois discovered the hidden structure of polynomial equations. By studying the relationships between their solutions — rather than 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 ...