Diophantine equations stand at the interface of algebra, geometry and arithmetic, seeking integer or rational solutions to polynomial equations. Classical problems such as Pythagorean triples and ...

A set of puzzles called Diophantine problems are often simple to state but hard to solve—though progress could have big implications for the future of mathematics Diophantine geometry is the field of ...

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 ...

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 ...