Mr. Cong He
University of Wisconsin-Milwaukee
Dissertator
We find a class of simplicial complexes as nerves of CAT(0) right-angled Coxeter groups, with boundary homeomorphic to the Menger curve. Our nerves are triangulations of compact orientable surfaces with boundary. In particular, the nerves are non-graphs.
Advisor: Prof. Craig Guilbault
Committee Members:
Profs. Chris Hruska, Boris Okun, Jonah Gaster, and Kevin McLeod