- Department:
- Mathematics
- Status:
- Assistant Professor
- Office:
- Natural Sciences Building, 115
- Office phone:
- (502) 852-2730
- E-mail:
- my first name dot my last name at louisville dot edu

## Please note that this website is only sporadically updated.

### Special Session on Partially Ordered Sets, October 2013

Stephen Young and I organized a Special Session on Partially Ordered Sets in October 2013 at the Southeastern Sectional Meeting of the American Mathematical Society. We collected the speakers' slides, which are available on the following webpage:

### Selected publications

- A strong triangle inequality in hyperbolic geometry Submitted. (with Robert C. Powers), and the corresponding movie
- An upper bound on the extremal version of Hajnal's triangle-free game. Appeared on-line in
*Discrete Applied Mathematics*. (with Paul Horn, and D. Jacob Wildstrom)
- Forcing posets with large dimension to contain large standard examples. To appear in
*Graphs and Combinatorics*. (with Peter Hamburger, Attila Por, and William T. Trotter)
- Generating Infinite Random Graphs. Submitted. (with Udayan B. Darji)
- Posets with cover graph of pathwidth two have bounded dimension. To appear in
*Order*. (with Mitchel T. Keller, and Stephen J. Young)
- Standard examples as subposets of posets.
*Order* 32(2):293-299, July 2015. (with Peter Hamburger, and Attila Por)
- The rate of growth of the minimum clique size of graphs of given order and chromatic number.
*Discrete Math.*, 338(5):698-700, 2015 (with Kris Wease)
- The proof of the removable pair conjecture for fractional dimension.
*Electron. J. Combin.*21(1):Paper 63, 2014. (with Peter Hamburger, and Attila Por)
- Large chromatic number and Ramsey graphs.
*Graphs Combin.*, 29(5):1183-1191, 2013 (with Zoltan Furedi and Sogol Jahanbekam)
- Remarks on the domination number of graphs.
*Bulletin of the I. C. A.*, 64:73-82, 2012 (with Eva Czabarka, Peter Dankelmann, and Laszlo Szekely)
- A combinatorial approach to height sequences in finite partially ordered sets.
*Discrete Math.*, 311(7):563-569, April 2011 (with William T. Trotter)
- Large cliques in graphs with high chromatic number. arXiv:1107.2630, May 2010.
- Interval partitions and Stanley depth.
*J. Combin. Theory Ser. A*, 117(4):475-482, May 2010. (with David M. Howard, Mitchel T. Keller, William T. Trotter, and Stephen J. Young)
- Segment orders.
*Discrete Comput. Geom.*, 43(3):680-704, April 2010. (with William T. Trotter)
- The first three levels of an order preserving
Hamiltonian path in the subset lattice.
*Order*, 26(2):101-107, June 2009. (with David M. Howard)