My papers:
(with citations in bibtex) (annotated, pdf)

6. (pdf) Ensuring every candidate wins under positional voting. (Also see software below.)
              Accepted for publication in Social Choice and Welfare.
5. (pdf) Nonattacking queens in a rectangular strip, with Seth Chaiken and Thomas Zaslavsky, submitted. (Also see software below.)
4. (pdf) Applying a combinatorial determinant to count weighted cycle systems in a directed graph.
              Accepted for publication in Discrete Mathematics. [doi:10.1016/j.disc.2008.02.020]
3. (pdf) Pseudo-centrosymmetric matrices, with applications to counting perfect matchings.
              Published in Linear Algebra and its Applications. Volume 427, pp 206-213. (2007)
2. (pdf) A Gessel-Viennot-type method for cycle systems in a directed graph.
              Published in Electronic Journal of Combinatorics, Volume 13, Research Paper 37, 28 pp. (2006)
1. (pdf) Generalized Fibonacci Numbers Through Tilings and Markov Chains, with Arthur Benjamin and Francis Su.
              Published in Utilitas Mathematica, Volume 64, pp 3-17. (2003)

Additional Works:

(pdf) My Dissertation, A Gessel-Viennot-Type Method for Cycle Systems with Applications to Aztec Pillows.
(pdf) My General Exam Paper, An Exploration of Aztec Pillows.
(pdf) My Undergraduate Thesis, A Generalized Binet's Formula for k^th Order Linear Recurrences: A Markov Chain Approach.
(html) Landscape Clinic Research on Harvey Mudd College's Resource Use, with Greg Alexander, Ryan Kirkby, Marcy LaViollette, Megan Ritchie, Jill Sohm, Tracy van Cort, and Erika Wolff.
(Word) An article written for the MCM Competition on Aliens in 2000.

Computer Software:

(For paper 6, Ensuring every candidate wins under positional voting)

• BordaExamples.mws : A Maple worksheet verifying that the disordering sets of voter preferences are indeed disordering.

• WIGG.txt : A file that explains the functioning of WIGG.java and WIGG.mws.
• WIGG.class : A compiled java program to calculate a formula for the number of nonattacking configurations of chess pieces on an m x n board through weighted integral gain graphs; outputs Maple input. [The uncompiled files: wigg.java, graph.java, edge.java, node.java.]
• WIGG.mws : A Maple worksheet used to calculate the generating functions for the number of nonattacking configurations of chess pieces. Requires John Stembridge's SF package.

My posters:

(pdf) A Gessel-Viennot-Type Method for Cycle Systems. Presented at the 17th International Conference on Formal Power Series and Algebraic Combinatorics in Taormina, Italy in June 2005.

(ppt) Sample Size Determination in Studies Where Health State Utility Assessments Are Compared Across Groups and Time, with Barbara H. Hanusa. Presented at the International Biometric Society Meeting - ENAR in Pittsburgh, PA in March 2004.

My talks:

Voting Methods and Colluding Voters

• Gettysburg College, January 2008.
• Binghamton University, December 2007.

(pdf) Let's Count: Enumeration through matrix methods.

• Queens College, February 2008.
• Temple University Colloquium, March 2006.

(pdf) A Gessel-Viennot-Type Method for Cycle Systems in a Directed Graph.

• Gettysburg College, January 2008.
• LaBRI (Bordeaux, France), June 2006.
• Cornell University, November 2005.
• Binghamton University, September 2005.
• Carnegie Mellon University, March 2005.
• University of Washington, February 2005.
• University of California, Berkeley, February 2005.

(pdf) Matrix types and operations arising in matching theory.

• Binghamton University, September 2005.
• University of Washington, April 2005.

An Introduction to Tilings.

• University of Washington, February 2005.

The Traffic Assignment Problem.

• University of Washington, May 2003.

A Binet's Form for Generalized Fibonacci Numbers through Random Tilings and Markov Chains.

• University of Washington, May 2002.
• Harvey Mudd College, April 2001.