Here are some projects and teaching materials that I have worked on while I was a graduate student at the University of Arizona.

  • Here is a project I wrote and supervised project (PDF) on elliptic curves and topological groups for the graduate student Integration Workshop in August 2005.
  • I was an advisor for Genevieve Patterson’s Undergraduate Research Project. Here is here Spring 2004 and Summer 2004 Final Reports.
  • I also supervised an Undergraduate Research Project for Andrew Lebovitz. Some information about his project can be found at his homepage.
  • From the Fall of 2002 through the Spring of 2005 I ran computer programming review sessions to help prepare other graduate students for the departmental computer exam. Some of the review material can be found here.
  • During the Winter 2003/04 I taught at Trigonometry course. The lessons were structured around daily group work, some of the material for which can be found here.
  • I led several sessions for the High School Outreach program. I also made several visualizations aids that I and others used. One was a “bubble computer” that found the minimum spanning tree for a network. A second was a SETI/Contact type program to show how aliens might use mathematics to communicate.
  • Here is the paper I wrote summarizing Falting’s proof Shafarevich conjecture for my oral exam in February of 2002. Be warned that there are numerous typos.