Algebraic topology: The study of topological spaces with methods from abstract algebra, emphasising the transformation of geometric problems into algebraic ones. Homotopy theory: ...

Algebraic topology is quite abstract but its results are easy to understand. If two systems' geometric objects are qualitatively similar, they contain the same number of holes.

Lights, Camera and Algebraic Topology! Imagine a lazy weekend night winding down, as so many do at Harvard, with a trip to the local video. By Simon W. Vozick-levinson.

January 06, 2016 Penn professor, leader in topology, changing the face of math education Robert Ghrist, a Penn Integrates Learning Professor, wants to bring algebraic topology to the masses ...

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, ...

W. S. Massey, Some Problems in Algebraic Topology and the Theory of Fibre Bundles, Annals of Mathematics, Vol. 62, No. 3 (Nov., 1955), pp. 327-359 Free online reading for over 10 million articles Save ...

Our faculty work in the areas of algebraic topology, complex geometry, differential geometry, geometric group theory, and geometric topology. Page updated February 18, 2025 . ... Low-Dimensional ...

There’s no Nobel Prize in mathematics, but math undergirds much high-level science. The 2016 Nobel in Physics rewards work in topology, a branch of math with multiple real world applications.