Geometry and Topology

Topology is the study of shape of objects, and considers what quantities change or do not change when an object is changed in a continuous manner.  Geometry studies notions such as distance, area, volume and also curvature which is another measure of shape, and there are spectacular connections between geometry and topology.  The area uses techniques from algebra and analysis, and has connections with many other areas of pure mathematics, applied mathematics and and mathematical physics.   The research group in MSCS has particular interests in differential geometry, complex geometry, geometric group theory, geometric topology and the study of Higgs bundles.

Faculty

Upcoming Seminars

Oct 7 2026

Geometry, Topology and Dynamics Seminar: Canonical bundle formula and degenerating families of volume forms, by Dano Kim

Wednesday, 3:00 pm–4:00 pm
SEO636
Nov 18 2026

Geometry, Topology and Dynamics Seminar: TBA, by Brandis Whitfield

Wednesday, 3:00 pm–4:00 pm
636 SEO