The study of differential algebraic geometry and model theory occupies a pivotal position at the interface of algebra, geometry, and logic. Differential algebraic geometry investigates solution sets ...

Can mathematics handle things that are essentially the same without being exactly equal? Category theorist Eugenia Cheng and host Steven Strogatz discuss the power and pleasures of abstraction. The ...

Daniel R. Grayson is professor emeritus of mathematics at the University of Illinois. He was a friend of Voevodsky from 1994 and worked with him on computer proof checking. Vladimir Voevodsky ...

The drive to get every student to take so-called college gateway courses has succeeded, a new federal study finds, but students taking Algebra 1 and Geometry classes are getting considerably less ...

Years ago, an audacious Fields medalist outlined a sweeping program that, he claimed, could be used to resolve a major problem in algebraic geometry. Other mathematicians had their doubts. Now he says ...

The Fields Medal, the world’s highest honor for mathematical research, has gone to two mathematicians who forged new links between different branches of mathematics. The recipients–announced this week ...

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 ...

Algebraic geometry is a branch of mathematics which, combines abstract algebra, especially commutative algebra, with geometry. It can be seen as the study of solution sets of systems of polynomials.