Hurwitz ball quotients

We consider the analogue of Hurwitz curves, smooth projective curves $C$ of genus $g \ge 2$ that realize equality in the Hurwitz bound $|\mathrm{Aut}(C)| \le 84 (g - 1)$, to smooth compact quotients $S$ of the unit ball in $\mathbb{C}^2$. When $S$ is arithmetic, we show that $|\mathrm{Aut}(S)| \le 288 e(S)$, where $e(S)$ is the (topological) Euler characteristic, and in the case of equality show that $S$ is a regular cover of a particular Deligne--Mostow orbifold. We conjecture that this inequality holds independent of arithmeticity, and note that work of Xiao makes progress on this conjecture and implies the best-known lower bound for the volume of a complex hyperbolic $2$-orbifold.Comment: Several improvements incorporating referee's comments. To appear in Math.

Spare Parts and the Fallacy of the American Dream

First Plac

Soil Sterilization

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Community Based Participatory Research: The Application and Lessons Learned from a Study with LGB College Students

Lesbian, gay, and bisexual (LGB) individuals are members of a vulnerable group where health disparities have been identified. To gain a better understanding of the LGB college student healthcare experience and its contribution to the healthcare disparities found in LGB population, a community based participatory research (CBPR) approach was used to fill the gap. This paper will outline the CBPR process with an emphasis on how the principle investigator applied the tenets of CBPR when working with a local LGB college community. Several lessons learned from the research process are also shared in this paper