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 ...

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 ...

Richard Feynman once made a statement to the effect that the history of mathematics is largely the history of improvements in notation — the progressive invention of ever more efficient means for ...

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 ...

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 ...

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 ...