To many in the United States, advanced forms of mathematics are a terrifying maze of numbers, symbols, graphs, and hypotheticals that render our world more complex than simple observations would ...

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 ...

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.

Knot theory began as an attempt to understand the fundamental makeup of the universe. In 1867, when scientists were eagerly trying to figure out what could possibly account for all the different kinds ...

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.