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 ...

Iwasawa theory investigates the variation of arithmetic invariants—such as class groups and Selmer groups—along infinite towers of number fields, most classically the cyclotomic Z p-extension of the ...

Partition theory studies the ways in which a positive integer can be expressed as a sum of positive integers, without regard to order. Originating in the work of Euler, it has evolved through the ...

There are three kinds of prime numbers. The first is a solitary outlier: 2, the only even prime. After that, half the primes leave a remainder of 1 when divided by 4. The other half leave a remainder ...

This meeting had three goals: To take stock of the achievements over the last seven years, to highlight specific accomplishments of early-career researchers involved with the collaboration, and to ...