The papers below are separated into three catagories: Submitted, To Appear, and Published.
All papers are copyright 1998-2011

Submitted

28. A Probabilistic Threshold for Monochromatic Arithmetic Progressions

Nothing right now.

2011

27. Van der Waerden's Theorem and Avoidability in Words
(with Yu-Hin Au and Jeffrey Shallit ), Integers 11, #7.

26. Multiplicity of Monochromatic Solutions to X+Y < Z
(with Wojciech Kosek, Dusty Sabo, and Daniel Schaal), JCTA 117 (8), 1127-1135.

2009

25. Combinatorial Number Theory
(co-edited with Bruce Landman, Mel Nathanson, Jaroslav Nesetril, Richard Nowakowski, and Carl Pomerance), de Gruyter, Proceedings in Mathematics.

2008

24. Bounds on Some van der Waerden Numbers
(with Tom Brown and Bruce Landman), JCTA 115 (7), 1304-1309.

23. Some Two Color, Four Variable Rado Numbers
(with Kellen Myers), Adv. Applied Math 41 (2), 214-226.

22. On the Asymptotic Minimum Number of Monochromatic 3-Term Arithmetic Progressions
(with Pablo Parrilo and Dan Saracino), JCTA 115 (1), 185-192.

2007

21. Avoiding Monochromatic Sequences with Special Gaps
(with Bruce Landman), SIAM J. Disc. Math. 21 (3), 794-801.

20. A Method for Quantifying Rotational Symmetry
(with Frank Frey and Michael Bukoski), New Phytologist 175 (4), 785-791.
Note: This is an ecology paper and not a combinatorics paper.

19. Two Color Off-diagonal Rado-type Numbers
(with Kellen Myers), Electronic Journal of Combinatorics 14(1), R53

18. On Monochromatic Ascending Waves
(with Tim LeSaulnier), in Combinatorial Number Theory, de Gruyter Proceedings in Mathematics Series

17. Refined Restricted Involutions
(with Emeric Deutsch and Dan Saracino), European Journal of Combinatorics 28, 481-498.

2006

16. On the Degree of Regularity of Generalized van der Waerden Triples
(with Nikos Frantzikinakis and Bruce Landman ), Adv. Applied Math 37, 124-128.

2005

15. Some New Exact van der Waerden Numbers
(with Bruce Landman and Clay Culver), Proceedings of Integers Conference 2003, Integers 5(2), A10.

2004

14. Restricted Permutations from Catalan to Fine and Back
Séminaire Lotharingien de Combinatoire 50, B50g.

2003

13. Ramsey Theory on the Integers
(with Bruce Landman), American Mathematical Society, STML 24.

2002

12. Refined Restricted Permutations
(with Dan Saracino and Doron Zeilberger), Annals of Combinatorics 6, 427-444.

11. Refined Restricted Permutations Avoiding Subsets of Patterns of Length Three
(with Toufik Mansour), Annals of Combinatorics 6, 407-418.

10. On Generalized Van der Waerden Triples
(with Bruce Landman), Discrete Mathematics 256, 279-290.

9. New Lower Bound Formulas for Some Multicolored Ramsey Numbers,
Electronic Journal of Combinatorics, 9(1), R13.

2001

8. Permutations Restricted by Two Distinct Patterns of Length Three,
Advances in Applied Mathematics, 27, pp. 548-561.

7. Off-Diagonal Generalized Schur Numbers
(with Dan Schaal), Advances in Applied Mathematics, 26 (3), pp. 252-257.

2000

6. Difference Ramsey Numbers and Issai Numbers,
Advances in Applied Mathematics, 25 (2), pp. 153-162.

1999

5. Permutation Patterns and Continued Fractions
(with Herb Wilf and Doron Zeilberger), Electronic Journal of Combinatorics, 6 (1), R38.

4. Permutations Containing and Avoiding 123 and 132 Patterns,
Discrete Mathematics and Theoretical Computer Science 3, pp. 151-154.

3. New Lower Bounds for Some Multicolored Ramsey Numbers,
Electronic Journal of Combinatorics 6 (1), R3.

1998

2. A 2-Coloring of [1,N] Can Have N²/22 + O(N) Monochromatic Schur Triples, But Not Less!
(with Doron Zeilberger), Electronic Journal of Combinatorics 5 (1), R19.

1993

1. Review of Social Security Financing and Related Matters
(with Cecil J. Nesbitt and Felicity Messner), Actuarial Research Clearing House 1993.1, 249-282.