Contact Name: Andrew Berget
Contact Email: aberget[at]uw.edu
The student would learn the relevant background in algebra and graph theory, in particular the matrix-tree theorem and the fundamental theorem of finitely generated abelian groups. With this knowledge, we would embark on studying the critical group of a graph. This would involve extensive computer exploration of these groups using the computer algebra system Macaulay2.
4xx level abstract algebra or real analysis or combinatorics in the UW Department of Math, or equivalent coursework at another institution.
The student should supply the name of a mathematics professor who can recommend them.