That’s fascinating work revealing how algebraic topology is making an important contribution toward a better understanding of the connectome. Like all good science, this work raises as many ...

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

Fittingly, the group structure of homology was discovered in the 1920s by Emmy Noether, a pioneer of the study of groups and other algebraic structures. Thanks to Noether’s observation, mathematicians ...

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.

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, ...

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 ...

This will be a first course on algebraic topology, following on from the introduction to topology given in the Level 3 course Metric spaces. Topology studies the shape of space, with examples such as ...

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 ...

I also work with condensed matter physicists to apply tools from algebraic topology to the study of phases of matter. Select Publications: In homotopy theory: ... In Topology and quantum theory in ...