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

To many in the United States, advanced forms of mathematics are a terrifying maze of numbers, symbols, graphs, and hypotheticals that render our world more complex than simple observations would ...

Kathryn Hess can’t tell the difference between a coffee mug and a bagel. That’s the old joke anyway. Hess, a researcher at the Swiss Federal Institute of Technology, is one of the world’s leading ...

When students are genuinely curious about new concepts and ideas, they develop their own study skills, says Professor Pekka Pankka. Geometry, Algebra, and Topology are pure mathematics and essential ...

The Earth's climate system seems to have shifted abruptly between colder and warmer modes in the past. Do we risk the same today from anthropogenic climate change? Frankly, climate models cannot ...

We consider when it is possible to bound the Lipschitz constant a priori in a homotopy between Lipschitz maps. If one wants uniform bounds, this is essentially a finiteness condition on homotopy. This ...

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 ...

University of Florida provides funding as a founding partner of The Conversation US. The old saw is that a topologist is a mathematician who cannot tell the difference between a doughnut and a coffee ...