## Yusheng LuoScience Center, Office 242C Department of Mathematics Harvard University Cambridge MA 02138, USA E-mail: "yusheng [at] math.harvard.edu" I am a fifth year graduate student at Harvard University. My advisor is Curtis McMullen. My research interests include complex dynamics, Teichmüller theory, hyperbolic geometry and Berkovich dynamics. |

In preparation.

In preparation.

- Artin's L-series and Stark's Conjecture

This is an expository paper I did as my minor thesis. The paper states the Stark's conjecture and proves it in some specical cases.

- Weakly Circle-Preserving Maps in Inversive Geometry (with J. Gibbons)

- Colorings of the n-sphere and inversive geometry (with J. Gibbons)