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 ...

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 ...

The Kuramoto model is used to study synchronization observed in complex systems. Complex systems are often mathematically represented by networks, where components in the system are represented as ...

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 ...

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 ...