Category theory provides a structural framework for mathematics and is on its way to becoming a language for consciousness for the entire universe. As the Stanford Encyclopedia of Philosophy ...

Category theory is a branch of mathematics that explains how distinct mathematical objects can be considered “the same.” Its fundamental theorem tells us that any mathematical object, ...

Cheng’s books lift readers to the rarefied heights of mathematical abstraction by teaching them category theory, which she believes is the most foundational kind of math. Category theory may ...

Where math is an abstraction of the real world, category theory is an abstraction of mathematics: It describes the architectural structure of any mathematical field, independent of the specific ...

We supervise projects and dissertations in a variety of areas of pure mathematics and beyond. These include (but are not limited to): noncommutative algebra, representation theory, algebraic geometry, ...

This one year taught postgraduate programme leads to the degree of MSc in Pure Mathematics. ... These include (but are not limited to): noncommutative algebra, representation theory, algebraic ...

By developing foundational theories, pure mathematicians reveal deep interconnections between disparate areas of mathematics, advancing our understanding of concepts such as number theory, group ...

Emily Riehl sees similarities between the viola, which she grew up playing, and the mathematical field of higher category theory, in which she is currently a leading participant. She thinks of the two ...

There are lots of examples where the purest of pure mathematics can be applied in a profound way. When Einstein came up with the theory of relativity, he needed something called Tensor Calculus ...