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 ...

Every pure mathematician has experienced that awkward moment when asked, “So what’s your research good for?” There are standard responses: a proud “Nothing!”; an explanation that mathematical research ...

Francis William Lawvere, a longtime member of the UB mathematics faculty, died Jan. 23 in Chapel Hill, N.C., after a long illness. He was 85. Lawvere was considered a leader in the field of category ...

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 ...

The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new worlds for them to explore One of the biggest stories in science has been ...

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 ...

Mathematicians have struggled to understand the moduli space of graphs. A new paper uses tools from physics to peek inside. “That’s a super hard problem. It’s amazing they were able to,” said Dan ...