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 ...

Algebraic geometry and number theory intersect in the study of solutions to polynomial equations and their symmetries. Algebraic geometry provides a language of schemes and varieties to capture ...

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 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 ...

Who is Professor Mahesh Kakde? The IISc Bengaluru mathematician has won the Ramanujan Prize 2026 for his contributions to algebraic number theory and major mathematical problems.

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.

Indian mathematician Mahesh Kakde, a professor at the Indian Institute of Science (IISc), Bengaluru, has been awarded the Ramanujan Prize 2026 for his important contributions to algebraic number ...