Dr. Lee’s research lies in the intersection of algebra, combinatorics, geometry, topology, and physics. The algebraic objects he is particularly interested in include cluster algebras, MacDonald polynomials, and Kazhdan-Lusztig polynomials. All of these are motivated by theoretical physics, and have been studied in terms of (co)homologies, algebraic combinatorics, and topological cell decompositions. He uses tools from a wide variety of mathematical areas, including algebraic geometry, commutative algebra, non-commutative algebra, and representation theory.
Find Dr. Lee’s publications on MathSciNet and ArXiv.
Find Dr. Lee’s contact information in the department directory.