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 ...

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 ...

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 ...