The field of algebraic geometry investigates the profound interplay between polynomial equations and geometric structures, providing a rich framework that unites abstract theory with practical ...

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.

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 the recent work by ...

Both algebraic and arithmetic geometry are concerned with the study of solution sets of systems of polynomial equations. Algebraic geometry deals primarily with solutions lying in an algebraically ...

Cluster algebras constitute a robust framework at the interface of algebra, combinatorics and geometry. Since their introduction, they have provided fertile ground for understanding total positivity, ...

For decades, generations of Americans took the same basic high school math track. Algebra. Geometry. Algebra 2. Now, school districts across the country are overhauling their approach, combining ...

Next year, Nashville public schools will begin the transition from teaching Algebra I, Geometry, and Algebra II to teaching integrated math courses, which weave together concepts from each discipline.

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 ...

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 ...