Dr. Zhenheng Li conducts research in algebra, including Lie algebras and algebraic monoids and groups. These mathematical objects are both algebraic and algebraically geometrical in nature, and are of great interest to mathematicians. His interests are in the structures and representations of these objects, including reductive monoids, classical monoids, Putcha lattices, Renner monoids, and properties of modules over Kac-Moody algebras.