Publications & Pre-Prints

• Diophantine Equations of Matching Games II (with Roel Stroeker), to appear in Acta Arithmetica. (2011)
• Diophantine Equation of Mathching Games I (with Chun Yin Hui), to appear in the journal of INTEGERS. (2011)
• Quantifier Eliminable Locally Finite Graphs (with Shawn Hedman), Mathematical Logic Quarterly Volume 57, Issue 2, April 2011.
• Locally Finite Homogeneous Graphs (with Shawn Hedman), Combinatorica, Volume 30 Issue 4, July 2010.
• Length Spectra of Natural Numbers, International Journal of Number Theory, Volume: 5, Issue: 6(2009) pp. 1089-1102.
• Sums of Consecutive Integers, the College Mathematics Journal, Vol. 38, NO. 2, March 2007, p.119–123.
• Rank Inequalities in the Theory of Differentially Closed Fields . Proceedings of Logic Colloquium 2003.
• Orderings of Monomial ideals (with Matthias Aschenbrenner). Fund. Math.
• On Lascar Rank and Morley Ranks of definable groups in differentially closed fields, (with Anand Pillay), Journal of Symbolic Logic. Volume 67. Number 3. Sept. 2002.
• On a result of Rosenlicht. May 2000. Communications in Algebra, Vol. 30, issue 12, 2002, p.5933-5939.
• Chains of Differential Subvarieties of an Algebraic Variety. Journal of Algebra 248, 755-764, 2002.
• Some Applications of Ordinal Dimensions to the Theory of Differentially Closed Fields. Journal of Symbolic Logic. (2000), 65, no. 1, pp.347-356.
• Complete Sets in Differentially Closed Fields. Journal of Algebra 224, 454-466 (2000).
• Ordinal Dimensions and Completeness in Differentially Closed Field. Thesis. May 1999.