Yuanan Diao

Yuanan Diao is a Professor of Mathematics at the University of North Carolina at Charlotte (UNCC), affiliated with the Mathematics & Statistics Department. He holds a PhD from Florida State University (1990). His office is located at Fretwell 355E, and he can be contacted via email at ydiao@uncc.edu.

Professor Diao’s research focuses on Knot Theory, Geometrical Topology, Differential Equations, and Analysis. His work bridges pure mathematics with applications in molecular biology, particularly in studying the topology of DNA structures.

His recent publications (2020–2024) emphasize knot invariants, braid indices, and the physical properties of knots (e.g., ropelength). He explores DNA topology through configurations like cages and minicircle networks, leveraging graph theory and geometric modeling.

Teaching responsibilities include online courses in mathematics (e.g., Math2171-501, Math2164-502) during Fall 2022. His academic activity includes maintaining a homepage with resources for knot theory and mathematical links (webpages.uncc.edu/ydiao/).