Representations of solvable groups
At UW-Madison I studied chracters of finite groups with my advisor, I. M. Isaacs. In particular, I am interested in the characters and representations of finite solvable groups over any characteristic. Here are some early drafts of some preprints:

• A result on lifts of Brauer characters. It is in Archiv der Mathematik.
  
• A result on Fong characters and normal subgroups (Nothing great yet, but I'm working on it).
  
• Here is a result giving upper and lower bounds on the number of lifts of a Brauer character in a group of odd order. It's in the Journal of Algebra.
  
• On uniqueness of vertices of lifts in solvable groups. This will appear in Communications in Algebra.
  I have a paper with Mark Lewis , "Fong characters and chains of normal subgroups", in Archiv der Math.
  
• Coming soon: more results about I_pi characters and their lifts.
  
• Here's my thesis. Enjoy.

Symmetric Groups
I've also recently become interested in the representation theory of symmetric groups, especially the block structure and decomposition numbers.

• Here is a result about the uniqueness of lifts of irreducible Specht modules of the symmetric group. Apparently this is a new proof of an old result, but I'm working on extending some of the new ideas in this paper.
  
• A beginning of an attempt to determine a generating function for Fayers partitions and their corresponding representations of the symmetric group. This is work I did with Brendan Fry as part of an undergraduate research project.

Miscellaneous
Here are a couple of other topics I have been interested in.

• I supervised an undergraduate research project on the representations of the braid group with Jacob White in Spring of 2006, and here is the final report that Jacob turned in. I think it's pretty nice, and it asks some interesting questions.
  
• For a class my final year of grad school I wrote a little expository paper about the connection between representations of finite groups and wireless multiple antenna designs.

Slides from some talks I've given

• A talk on the McKay conjecture for the ANTS seminar.
  
• A talk on vertices of lifts of Brauer characters in groups of odd order I gave at the Zassenhaus Conference in St. Louis in spring of 2007.
  
• A talk on representations of the symmetric group I gave at Central Michigan University
  
• A talk on representations of solvable groups I gave at the University of Akron.