Gordon Williams

Gordon Williams is a Professor of Mathematics at the University of Washington, specializing in discrete geometry and symmetry analysis of geometric structures. His research spans abstract polytopes, graph theory, and applications in crystallography and microbiology.

• PhD in Mathematics (2002)

His work explores the role of symmetry in discrete geometric objects, extending classical problems like Platonic solids to higher dimensions and non-convex cases. Recent publications focus on Hamiltonicity in polytope graphs, mixing properties of polytopes, and symmetries in toroidal structures.

Key research trends include combinatorial geometry, graph connectivity, and algebraic approaches to geometric symmetry. Applications of his work intersect with material science and biological structures.