An Abundant Number-Crunching Problem
Department of Mathematics, Computer Science, and Statistics Seminar,
Bloomsburg University, Bloomsburg, PA, April 2006.
Unpredictable Sequences in Number Theory Fall Mathematics Colloquium Series, Gettysburg College, Gettysburg, PA,
December 2003.
A Surprise from Number Theory (with John Polhill and Michael Plytage)
Department of Mathematics, Computer Science, and Statistics Seminar,
Bloomsburg University, Bloomsburg, PA, October 2003.
The Density of Abundant Numbers (with Matt Severcool)
SSHE Mathematics Association Annual Conference, Indiana, PA, March 2003
Deficiency, Abundance, and Perfection Department of Mathematics, Computer Science,and Statistics
Seminar, Bloomsburg University, Bloomsburg, PA, February 2003.
Perfect Numbers, Unpredictable Sequences, and other Number Theoretic
Nuggets Mathematics Department Seminar, SUNY-Geneseo, Geneseo, NY, February 2003.
AMS/MAA Joint Annual Meetings, Baltimore, MD, January 2003.
Tales of Recreational Mathematics Teaching and Learning Enhancement Series, Bloomsburg University,
Bloomsburg, PA, October 2002.
A Primer on Digit-Product Sequences SSHE Mathematics Association Annual Conference, Kutztown,
PA, April 2002.
MAA Sectional Meeting, Bethlehem, PA, October 2001.
MAA Mathfest, Madison, WI, August 2001.
MAA Sectional Meeting, Bloomsburg, PA, April 2001.
Sequences That Do Interesting Things Department of Mathematics, Computer Science, and Statistics
Seminar, Bloomsburg University, Bloomsburg, PA, February 2001.
A Digit-Product Function with Interesting Properties AMS/MAA Joint Annual Meetings, New Orleans, LA, January 2001.
MAA Sectional Meeting, Abington, PA, November 2000.
MAA Mathfest, Los Angeles, CA, August 2000.
Generalized Iteration of q-Additive Polynomials Conference on Algebra and Algebraic Geometry, West Lafayette,
IN, July 2000.
The Other End of the Tunnel Recruitment Weekend, Purdue University, West Lafayette,
IN, March 2000.
MAA Sectional Meeting, Elizabethtown, PA, November 1999.
Additive Polynomials, Matrices, and Galois Theory,
Department of Mathematics, Computer Science, and Statistics
Seminar, Bloomsburg University, Bloomsburg, PA, November 1999.
Inverse Galois Theory and Other Big Decisions,
Recruitment Weekend, Purdue University, West Lafayette, IN,
March 1999.
The Galois Group of a Degree-16 Iterated Polynomial,
AMS Sectional Meeting, Gainesville, FL, March 1999.
Galois Extensions via Polynomial Iteration in Characteristic p,
AMS/MAA Joint Annual Meetings, San Antonio, TX, January 1999.
A Home-Grown Sequence and a Famous Problem,
Mathematics Colloquium, Wabash College, Crawfordsville, IN, March 1998.
AMS/MAA Joint Annual Meetings, Baltimore, MD, January 1998.
AMS Summer Research Conference on Applications of Curves
over Finite Fields, University of Washington, Seattle, WA, July 1997.
Some Galois Theory in Characteristic p,
Pure Postgraduate Seminar, University of Glasgow, Scotland, May 1997.
Similitude Polynomials,
University of Florida Galois Theory Week, Gainesville, FL, October 1996.
More Classical Groups as Galois Groups,
AMS Sectional Meeting, Chattanooga, TN, October 1996.
PUBLICATIONS
An Introduction to Digit Product Sequences,
Journal of Recreational Mathematics 32 (2003-2004), 147-151.
Degree Two Generalized Iteration of q-Additive Polynomials,
in Algebra, Arithmetic and Geometry with Applications (2004), 601-608.
(with M. Severcool) The Density of Abundant Numbers,
to appear in Proceedings of SSHEMA, 2003.
(with M. Razzaghi) The Concept of Hormesis in Developmental Toxicology,
Human and Ecological Risk Assessment 7 (2001), 933-942.
(with S.S. Abhyankar) Equations of Similitude, Proceedings of the Indian Academy
of Sciences 109 (1999), 1-9.
(with S.S. Abhyankar) Twice More Nice Equations for Nice Groups, Contemporary
Mathematics 245 (1999), 63-76.
(with S.S. Abhyankar) Once More Nice Equations for Nice Groups, Proceedings of the
American Mathematical Society 126 (1998), 1885-1896.