Development of software and databases supporting research in number theory and arithmetic geometry Fundamental research in arithmetic geometry inspired by computation and leading to new algorithms ...

This seminar is dedicated to all graduate students who possess an interest in the fields of Number Theory, Algebraic Geometry, and Commutative Algebra. For those eager to deliver a presentation, this ...

The research interests of the number theory faculty at UMass Amherst include algebraic number theory (the study of the arithmetic of finite extensions of the rational numbers), analytic number theory ...

Mathematics is one of the oldest disciplines of study. For all its antiquity, however, it is a modern, rapidly growing field. Only 70 years ago, mathematics might have been said to consist of algebra, ...

Algebraic geometry concerns the study of solutions to systems of polynomial equations, interpreting them as geometric objects known as algebraic varieties. Over the past century, it has evolved into a ...

The Kakeya conjecture predicts how much room you need to point a line in every direction. In one number system after another — with one important exception — mathematicians have been proving it true.

Matroid theory provides a unifying framework for notions of independence arising in linear algebra, graph theory and beyond. A matroid consists of a finite ground set endowed with an independence ...