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 ...

In the early 1960s George Gamow wrote a popular book 1 that contained a very suggestive observation about the effectiveness of pure mathematics in physics. As a conclusion he remarked that “only ...

Metric spaces, topological spaces, connectedness, compactness, the fundamental group, classifications of surfaces, Brouwer's fixed point theorem.

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.

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.