معرفی
Carl Lee is a Professor of Mathematics and Chellgren Professor at the University of Kentucky, Department of Mathematics. His office is located in Patterson Office Tower, and he can be reached at lee@uky.edu.
Professor Lee's research spans discrete mathematics, combinatorics, and geometry, with emphasis on polytopes, triangulations, and combinatorial structures. His work connects theoretical mathematics with practical applications in education, particularly in geometry for K-12 teachers. He also maintains interests in origami, the Bahá'í Faith, genealogy, and outdoor activities including biking and exploring the White Mountains.
Lee's recent publications demonstrate consistent expertise in combinatorial geometry and polytope theory, exploring topics such as the cd-index, toric h-vectors, regular triangulations, and polytope constructions. His work reveals sophisticated connections between algebraic, geometric, and combinatorial approaches to mathematical problems, with particular attention to low-dimensional structures.
- Chellgren Professor
Professor Lee has advised numerous students throughout his career, including undergraduate researchers like Michael Haney (Polytopes Project) and Aaron Zerhusen (Aperiodic Tilings Project), multiple master's students, and over twenty doctoral students. His doctoral advisees include Fariba Bigdeli-Jahed, Stewart Tung, Robert Hebble, and Liam Solus, many of whom have gone on to academic careers. He has also supervised postdoctoral fellows including Jakayla Robbins and Edwin O'Shea.
Professor Lee is deeply involved in mathematics education and outreach through programs like PIMSER, ACCLAIM, and AMSP. He has developed specialized courses for middle school teachers, conducted workshops across Kentucky and neighboring states, presented at national conferences including NCTM, and created educational materials for math circles and STEM enrichment programs.
