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

A new study shows that mathematical topology can reveal how human cells organize into complex spatial patterns, helping to categorize them by the formation of branched and clustered structures. The ...

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 ...

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.

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 ...

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 ...

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 ...