I've reached the cosmology part of my General Relativity (GR) course, and one of the early points that comes up is my traditional rant against confusing three very distinct concepts when thinking ...

Differential manifolds provide higher dimensional generalizations of surfaces. They appear in a very natural manner in many areas of mathematics and physics. On a differential manifold or more ...

When you look at your surrounding environment, it might seem like you're living on a flat plane. After all, this is why you can navigate a new city using a map: a flat piece of paper that represents ...

The conference will facilitate the exchange of ideas between researchers in different areas, including geometric topology, geometric group theory, differential geometry, combinatorics and probability ...

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 ...

Michael Hill, professor of mathematics in the UCLA College, has received the 2022 American Mathematical Society Oswald Veblen Prize in Geometry for his paper, “On the nonexistence of elements of ...

Geometry and Topology ... Image: Relativity by M.C. Escher, 1953. Licensed under Public Domain via Wikimedia Commons. The geometry and topology group at UB is traditionally strong in research and ...

The faculty at UMass Amherst and the surrounding colleges have broad interests in geometry and topology that include knot theory (topological and geometric knot invariants), symplectic geometry ...

Probably one of the most understated illustrations of anything in science is the classic coffeecup-donut transformation. It’s visualized below, but the idea is that the donut can be bent around and ...