On the Combinatorics of Restricted Skew Dyck Paths Menalu Mekcha Graduate Student University of Wisconsin-Milwaukee This thesis studies the enumerative combinatorics of skew and restricted Dyck path families. Beginning with classical Dyck paths, non-decreasing Dyck paths, and domino tilings, we …
Convergences groups and Gromov Hyperbolic Spaces Monica Cabria Graduate Student University of Wisconsin-Milwaukee This thesis investigates the relationship between convergence group actions and hyperbolic spaces. Since the 1990s, this relationship has been a significant theme in geometric group theory, revealing …
A Nonlocal Poisson–Boltzmann Model, Finite Element Solver, and Parallel Implementation for Ion Channels in Multispecies Ionic Solutions Mr. Liam Jemison Graduate Student University of Wisconsin-Milwaukee We introduce the first nonlocal Poisson–-Boltzmann Ion Channel (NPBIC) model and corresponding finite element solver …