Algebraic structures, encompassing groups, rings, fields and modules, have long formed the backbone of modern mathematics. Category theory, with its focus on objects and morphisms, provides a unifying ...

On a crisp fall New England day during my junior year of college, I was walking past a subway entrance when a math problem caught my eye. A man was standing near a few brainteasers he had scribbled on ...

The equal sign is the bedrock of mathematics. It seems to make an entirely fundamental and uncontroversial statement: These things are exactly the same. But there is ...

Math as both profession and course of study can be a hard sell, something even Don Draper might have trouble pitching. The field unites numbers, theories, and ideas that, yes, can be physically ...

Abstract Let 𝑅 be a commutative Noetherian ring and let 𝒟(𝑅) be its (unbounded) derived category. We show that all compactly generated t-structures in 𝒟(𝑅) associated to a left bounded filtration ...

A research team of mathematicians and computer scientists has used machine learning to reveal new mathematical structure ...