One of the first collaborations Xinyi Yuan and Wei Zhang ever undertook was a trip to the Social Security office. It was the fall of 2004 and the two of them were promising young graduate students in ...

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

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, ...

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 ...

Algebra provides the formal framework to describe mathematical structures such as groups, rings and fields, while number theory investigates the properties of integers and their extensions. At their ...