Margaret M. Bayer
College of Liberal Arts and Sciences - MathematicsMargaret Bayer is primarily interested in combinatorics and geometry. She works on face lattices of convex polytopes, hyperplane arrangements, Eulerian posets and oriented matroids. Of special interest are the "flag vectors" of these objects. The flag vector counts incidences of faces or elements of specified dimension or rank. The interplay between combinatorics and algebraic geometry is found in the connection between convex polytopes and toric varieties.
Teaching Interests
- Combinatorics
- Algebra
- Graph Theory
- Coding Theory
Research Interests
- Combinatorics
- Discrete Geometry