Publications
My research interests lie in combinatorics, particularly the combinatorics of partially ordered sets, extremal combinatorics, and online algorithms. I also work on combinatorial questions involving the Stanley depth of monomial ideals. You can read a more detailed description of my research interests.
Below is a list of my publications in reverse chronological order. I attempt to maintain links to my coauthors' current homepages. If any are out-of-date, please let me know. Papers that have appeared include full citation and link to the journal version as well as to the final copy I maintained, which omits any final formatting performed by the journal.
Papers published in or submitted to peer-reviewed journals
- On the Stanley depth of squarefree Veronese ideals. Submitted, 2009 (with Y.-H. Shen, N. Streib, and S.J. Young).
- Degree bounds for linear discrepancy of interval orders and disconnected posets. Submitted, 2009 (with S.J. Young).
- Stanley depth of squarefree monomial ideals. J. Algebra 322 (2009), no. 10, 3789–3792 (with S.J. Young). The original publication is available at ScienceDirect.
- Interval partitions and Stanley depth. To appear in J. Combin. Theory Ser. A, 2009 (with Cs. Biro, D.M. Howard, W.T. Trotter, and S.J. Young). The original publication is available at ScienceDirect.
- A characterization of partially ordered sets with linear discrepancy equal to 2, Order 24 (2007), no. 3, 139–153 (with D.M. Howard and S.J. Young). The original publication is available at www.springerlink.com.
Dissertation and thesis
- Some Results on Linear Discrepancy for Partially Ordered Sets, Doctoral Dissertation, Georgia Institute of Technology, Atlanta, GA, 2010.
- Knot Theory: History and Applications with a Connection to Graph Theory, Honors Thesis, North Dakota State University, Fargo, ND, 2004.
