Professor Adam Sikora is helping advance and popularize the growing field of quantum topology, which connects topology and geometry with quantum physics through surprising cross-fertilization of ideas ...

Alexander Bobenko has spent the past 20 years chewing on mathematical doughnuts. In the 2000s, he tried to prove that compact ...

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 ...

Machine learning is revolutionizing fundamental science by tackling long-standing mathematical challenges. A key example is ...

Endperiodic maps, splitting sequences, and branched surfaces. Michael Landry and Chi Cheuk Tsang. To appear in Geometry and Topology. 144 pages. A polynomial invariant for veering triangulations.

The Math 8806-8807 sequence will cover the following topics: Group Theory (Group actions, Sylow, Nilpotent/Solvable, simple groups, Jordan-Holder series, presentations); commutative algebra ...

US mathematician Dennis Sullivan has won one of the most prestigious awards in mathematics, for his contributions to topology — the study of qualitative properties of shapes — and related fields.

Faculty carry out research on many areas of the mathematical sciences. The department has particular strengths in Algebraic Geometry, Geometry and Topology, and Number Theory and Representation Theory ...

Materials scientists visually inspect the size, number, and distribution of precipitates to help understand how process parameters affect the structure of a material. By looking at the image at ...