Today, that looks set to change thanks to the mathematical field of algebraic topology, which neurologists are gradually coming to grips with for the first time. This discipline has traditionally ...

Algebraic topology and homotopy theory constitute central areas of contemporary mathematics, exploring spaces through algebraic invariants and continuous deformations. Techniques in this field ...

In particular, they have a different number of holes. Although mathematicians have had a basic understanding of homology for almost a century, algebraic topology continues to be an active research ...

The hapless viewer, meanwhile, may wonder whether he’s accidentally rented a tape of the most recent lecture in Mathematics 272a: “Introduction to Algebraic Topology.” The movie is less ...

"Eventually," Ghrist said, "I want to explain applied algebraic topology to the masses. That's the future I want to see happen." Watch below as Ghrist speaks about the relationship between ...

Hyperplane arrangements lie at the confluence of algebraic geometry, topology and combinatorics, offering a multifaceted arena in which algebraic methods illuminate topological invariants and vice ...

He told family members algebraic topology is “math at its purest form,” an area, he said, where math verges on poetry. U. of C. colleague Peter May said in an email that, in broad terms ...

The geometry and topology group at UB is traditionally strong in research and mentoring. Our faculty work in the areas of algebraic topology, complex geometry, differential geometry, geometric group ...

These are the types of questions arising from the growth of big data – and algebraic topology provides some answers. Topology is sometimes called “rubber sheet geometry.” To a topologist ...

I study chromatic homotopy theory and its interactions with equivariant homotopy theory. I also work with condensed matter physicists to apply tools from algebraic topology to the study of phases of ...