معرفی
Margaret Bayer is a Professor in the Department of Mathematics at the University of Kansas, within the College of Liberal Arts & Sciences. She specializes in combinatorics and discrete geometry, with research focusing on convex polytopes, hyperplane arrangements, Eulerian posets, and flag vectors. Her work bridges combinatorics with algebraic geometry, particularly through connections to toric varieties.
Her research explores the combinatorial structure of geometric objects, including face lattices of polytopes and the interplay between algebraic and geometric properties. Recent work includes studies on cut complexes of graphs, matching complexes, and applications of combinatorial methods in education and algorithm design.
Bayer has authored/co-authored over 40 publications, including foundational works on flag vectors, the cd-index of Eulerian posets, and lattice polytopes derived from Schur polynomials. Her articles often address topics like polytope enumeration, topological properties of graph complexes, and combinatorial optimization in exam design.
She serves as Book Review Editor for the Association for Women in Mathematics Newsletter and has advised numerous collaborative projects. Her teaching includes intermediate analysis and discrete mathematics courses.
