After an eight-year struggle, embattled Japanese mathematician Shinichi Mochizuki has finally received some validation. His 600-page proof of the abc conjecture, one of the biggest open problems in ...

Like physics, math has its own set of “fundamental particles”—the prime numbers, which can’t be broken down into smaller ...

Number Theory is one of the oldest branches of modern mathematics. It is motivated by the study of properties of integers and solutions to equations in integers. Many of its problems can be stated ...

Their ambitions were always high. When Will Sawin and Melanie Matchett Wood first started working together in the summer of 2020, they set out to rethink the key components of some of the most ...

The Fields Medal, the world’s highest honor for mathematical research, has gone to two mathematicians who forged new links between different branches of mathematics. The recipients–announced this week ...

MATH 11511 (Number Theory & Group Theory), MATH 21800 (Algebra 2). MATH 30200 (Number Theory), Group Theory (MATH 33300) and Galois Theory (MATH M2700) are recommended but not necessary. Students may ...