The study of arithmetic properties and digit restrictions in number theory explores the intricate relationships between classical arithmetic functions and the digital representation of numbers. This ...

Arithmetic dynamics investigates the behaviour of iterated functions—often polynomials or rational maps—over number fields and function fields, while Galois theory provides the framework to analyse ...

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 ...

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 ...

I am a Ph.D. graduate of Emory University (2018), having worked under the supervision of Ken Ono. My research interests lie primarily in number theory and combinatorics, in particular the theory of ...

A new proof has debunked a conspiracy that mathematicians feared might haunt the number line. In doing so, it has given them another set of tools for understanding arithmetic’s fundamental building ...

Number theorist Peter Scholze, who became Germany’s youngest ever full professor aged 24, and geometrician Caucher Birkar—a Kurdish refugee—are among the winners of this year’s Fields Medals, the most ...

“Many people don't realize that there are math questions that we don't know how to answer,” says mathematician Melanie Matchett Wood of Harvard University and the Radcliffe Institute for Advanced ...