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 ...

With style and content accessible to beginning students interested in geometric topology, each chapter centers around a key theorem or theorems. The particular braid foliation techniques needed to ...

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

When students are genuinely curious about new concepts and ideas, they develop their own study skills, says Pekka Pankka, professor and teacher in the specialization. Geometry, Algebra, and Topology ...

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 ...

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 ...

Mathematics is the study of shape and form, of numbers and patterns, of concrete examples and abstract generalizations. As a discipline, mathematics is not easy to categorize: it's an art, a science ...

Physics can be baffling for those of us who didn't take it past the basic courses, but there's no doubt that the science that aims to explain the world around us is fascinating. This week, the 2016 ...