Benjamin Braun

Email: benjamin.braunuky.edu
Website
University of Kentucky
Status: Faculty
Department: Math,
Will Mentor: Doctoral students, Pre-doctoral students

Areas of Expertise

Pure Mathematics,

Research Interests

Integer points in rational polytopes and rational cones

Bio

My research interests are in algebraic, geometric, and topological combinatorics, including: Integer points in rational polytopes and rational cones, Graded semi-group algebras, Quasi-polynomials and generating functions arising from enumerative problems, Integer partitions and compositions, Topological properties of partially ordered sets, Simplicial complexes arising via combinatorial constructions, Cellular resolutions of monomial ideals, Groebner bases for toric ideals

I am also interested in scholarship regarding teaching and learning mathematics, including: Using writing in mathematics courses, K-12 teacher education, Pedagogical use of the history of mathematics, Connections between active learning methods and cognitive/social/educational psychology