Commutative algebra and algebraic geometry form a deeply interwoven field that investigates the structure of polynomial rings, their ideals, and the geometric objects defined by these algebraic sets.

Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary' ...

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.

Algebraic geometry in positive characteristic presents a rich and intricate landscape where classical techniques meet novel challenges associated with fields of prime order. This area synthesises ...

Why is this unit important? Algebraic geometry explores systems of polynomial equations on the algebraic side, structures known as algebraic varieties that emerge as the solution sets. This course is ...

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 ...

Wei Ho, the first director of the Women and Mathematics program at the Institute for Advanced Study, combines algebra and geometry in her work on an ancient class of curves. Like many people who would ...

When students are genuinely curious about new concepts and ideas, they develop their own study skills, says Pekka Pankka, professor and teacher in the specialization. Geometry, Algebra, and Topology ...

A 3D-printed decuplet crystal, skeleton, and nerves of a big algebra designed by Daniel Bedats. Printed with the Stratasys J750 3D printer at ISTA’s Miba Machine Shop. Symmetry is not just a question ...