Diophantine equations, classical problems in number theory, seek integer or rational solutions to polynomial relations. When approached through algebraic number theory, these equations are studied ...

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 ...

Algebraic complexity addresses the fundamental question of how efficiently one can compute polynomials and related algebraic objects. It employs models such as arithmetic circuits, branching ...

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 ...

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, ...

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.

Professor Mahesh Kakde of the Indian Institute of Science (IISc), Bengaluru, has been awarded the 2026 Ramanujan Prize for his significant contributions to algebraic number theory. The award is ...

The MPS Conference on Universal Statistics in Number Theory seeks to create a deeper understanding to the following question: Why do constants and distributions from statistical physics appear in ...