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 ...

In the words of Imre Leader, a Professor at the Cambridge University: "The fundamental kind of question Ramsey theory asks is: can one always find order in chaos? If so, how much? Just how large a ...

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 ...

Mathematical truths are often born of the conflict between order and disorder. Mathematicians discover patterns, and, to better understand the mysterious forces at play, they look for countervailing ...

Earlier this year, a first-time academic author published a new mathematical study in the journal Research in Number Theory. The twist? The researcher, Christopher Havens, is also serving a 25-year ...

Within mathematics, there is a vast and ever expanding web of conjectures, theorems and ideas called the Langlands program. That program links seemingly disconnected subfields. It is such a force that ...

After the star-studded mystery thriller The Number 23 debuted in cinemas in 2007, many people became convinced that they were seeing the eponymous number everywhere. I was in school at that time, and ...