Doug Chatham

Associate Professor of Mathematics

Richard Douglas ("Doug") Chatham, Ph. D.

Department of Mathematics, Computer Science and Physics
Morehead State University
Morehead , KY 40351

Educational Background

May 2000 --- Ph.D., Mathematics, University of Tennessee
Area of Concentration: Algebra (Commutative Ring Theory)
Dissertation Title: Going-Down Pairs of Commutative Rings
Ph.D. Advisor: David E. Dobbs

May 1990 --- B.S., Mathematics (with minor in Computer Science), Wake Forest University

Professional Experience

August 2007 - present Associate Professor of Mathematics, Department of Mathematics and Computer Science , Morehead State University

August 2001 - July 2007 Assistant Professor of Mathematics, Department of Mathematics and Computer Science , Morehead State University

August 2000 - June 2001 Visiting Assistant Professor, Mathematics Department , Wake Forest University , Winston-Salem, North Carolina

August 1993 - May 2000 Graduate Teaching Associate, Mathematics Department , University of Tennessee , Knoxville

Publications

R. D. Chatham, M. Doyle, J. J. Miller, A. M. Rogers, R. D. Skaggs, and J. A. Ward, Algorithm Performance for Chessboard Separation Problems, Journal of Combinatorial Mathematics and Combinatorial Computing, to appear. (Preprint in PDF format)

R. D. Chatham, Reflections on the N + k Queens Problem, College Mathematics Journal, 40(3)(2009), 204-210.(Preprint in PDF format)

R. D. Chatham, M. Doyle, G. H. Fricke, J. Reitmann, R. D. Skaggs, and M. Wolff, Independence and Domination Separation in Chessboard Graphs, Journal of Combinatorial Mathematics and Combinatorial Computing, 68(2009), 3-17. (Preprint in PDF format)

R. D. Chatham and D. E. Dobbs, Pairs of Commutative Rings in Which All Intermediate Rings Have the Same Dimension, Houston Journal of Mathematics, 33(3)(2007), 635-647. (Reprint in PDF format)

R. D. Chatham, G. H. Fricke, and R. D. Skaggs, The Queens Separation Problem, Utilitas Mathematica, 69 (2006), 129-141. (Preprint in PDF format)

R. D. Chatham and D. E. Dobbs, On Open Ring Pairs of Commutative Rings, Houston Journal of Mathematics, 31(1)(2005), 65-74.

R. D. Chatham, On the Dimensions of the Subrings of a Commutative Ring, International Journal of Commutative Rings, 2(2)(2003), 101-105. Reprinted, Focus on Commutative Rings Research (2006), 101-105.

R. D. Chatham and D. E. Dobbs, On Pseudo-valuation Domains whose Overrings are Going-down Domains, Houston Journal of Mathematics , 28(1)(2002) , 13-19.

R. D. Chatham, Going-down Pairs of Commutative Rings, Rendiconti del Circolo Matematico di Palermo, Series II , 50 (2001) , 509-542.

Presentations

"Equivalence Numbers of Graphs," contributed talk at the Annual Meeting of the Kentucky Academy of Science, Lexington, Kentucky, November 2008.

"N+k Queens Reflections," contributed talk at the MAA MathFest, Madison, Wisconsin, August 2008. (Slides in PDF format)

"Symmetries of Solutions to the N+k Queens Problem," contributed talk at the Annual Meeting of the Kentucky Section of the MAA, Bowling Green, Kentucky, March 2008.

"Symmetries of Solutions to the N+k Queens Problem," contributed talk at the Annual Meeting of the Kentucky Academy of Science, Louisville, Kentucky, November 2007. (Slides in PDF format)

"Transit Graphs," contributed talk at the Graph Theory Special Session of the AMS Southeastern Sectional Meeting, Murfreesboro, Tennessee, November 2007. (Slides in PDF format)

"No-Deal Solitaire," contributed talk at the Annual Meeting of the Kentucky Academy of Science, Morehead, Kentucky, November 2006. (Slides in PDF format)

"Separation Numbers of Chessboard Graphs," invited talk at the Fall 2006 Colloquium of the Department of Mathematics and Statistics of Eastern Kentucky University, Richmond, Kentucky, September 2006. (Slides in PDF format)

"Separating Queens on the Chessboard," contributed talk at the MAA MathFest, Knoxville, Tennessee, August 2006. (Slides in PDF format)

"Separating Queens on the Chessboard," contributed talk at the 19th Annual Cumberland Conference in Graph Theory, Combinatorics, and Computing, Johnson City, Tennessee, May, 2006. (Slides in PDF format)

"The N+k Queens Problem," contributed talk at the Annual Meeting of the Kentucky Academy of Science, Richmond, Kentucky, November 2005. (Slides and handout in PDF format)

"N-dimensional Pairs," invited talk in the Commutative Ring Theory Special Session of the AMS Southeastern Sectional Meeting, Johnson City, Tennessee, October 2005. (Slides in PDF format)

"The N+1 Queens Problem," contributed talk at the Tri-Section Meeting of the Illinois, Indiana, and Kentucky sections of the MAA, Evansville, Indiana, November 2004. (Slides -- updated/corrected July 2005 --- in PDF format)

"Winning Strategies for Traffic Lights and Beer Square," contributed talk at the Annual Meeting of the Kentucky section of the MAA, Louisville, Kentucky, April 2003. (Slides in PDF format)

"Winning Strategy for Traffic Lights and Beer Square," contributed talk at the Annual Meeting of the Kentucky Academy of Science, Highland Heights, Kentucky, November 2002. (Slides in PDF format)

"Going-down pairs of commutative rings," contributed talk at Mid-Atlantic Algebra Conference , Winston-Salem, North Carolina, March 2002. (Slides in PDF format)

"On pseudo-valuation domains whose overrings are going-down domains," contributed talk at the AMS and MAA Joint Mathematics Meetings, New Orleans, Louisiana, January 2001.

"Pairs of going-down rings," invited talk in the Commutative Algebra Special Session of the AMS Southeastern Sectional Meeting, Charlotte, North Carolina, October 1999.

Grants

Principal Investigator, "Separation Problems on Chessboard Graphs" (Kentucky NSF EPSCoR Grant # UKRF 3046884400-07-419), May 2007-December 2007.

Co-Principal Investigator, "A Scaleable Research Cluster: A Teaching Tool in Parallel Computing" (Kentucky NASA EPSCoR Grant NCC5-571), August 2005 - May 2007.

Co-Principal Investigator, Computer Science And Mathematics scholarship program (NSF grant # DUE 0324106), September 2003-August 2009.