Algebraic number theory is a foundational branch of mathematics that investigates the properties of algebraic numbers and their relationships through the lens of field extensions and rings of integers ...

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 ...

Takashi Ono, widely influential number theorist and professor emeritus in the Department of Mathematics at Johns Hopkins University's Krieger School of Arts and Sciences, died in Florida on Jan. 11.

The Canadian mathematician Robert Langlands has won the 2018 Abel Prize—one of mathematics’ most-prestigious awards—for discovering surprising and far-ranging connections between algebra, number ...

Visit NAP.edu/10766 to get more information about this book, to buy it in print, or to download it as a free PDF. §14.2 Algebraic Topology. Topology is generally introduced as I described it in §AG.6, ...

Our research group is concerned with two lines of investigation: the construction and study of (new) cohomology theories for algebraic varieties and the study of various aspects of the Langlands ...

The University of Colorado Center for Number Theory has interests spanning number theory, from analytic to algebraic. There is a focus on arithmetic geometry, including arithmetic dynamics, elliptic ...