U. V. M.
|S. M. C.|
Department of Mathematics
University of Vermont
16 Colchester Avenue
Burlington, VT 05405
Department of Mathematics
Saint Michael's College
Colchester, VT 05439
|phone: 802 656 2940||
phone: 802 654 2660
|fax: 802 656 2552||fax: 802 654 2610|
|e-mail: email@example.com||e-mail: firstname.lastname@example.org|
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SMC Office: JEM 257. Fall 2000 Office Hours:
Monday and Wednesday 6:45 pm to 7:35 pm, and by appointment.
UVM Office: Mansfield 206. Fall 2000 Office Hours:
By appointment only.
Spring 2001 Classes
Fall 2000 Classes
Spring 2000 Classes
Doctorate in Mathematics: University of North Carolina, Chapel Hill, NC. fall 1995. Advisor: James D. Stasheff.
Areas of Research : Algebra and Combinatorics.I am interested in both graph theory and abstract algebra, particularly in using algebraic techniques to achieve graph theoretic results. My recent work has been primarily with graph polynomials, constructing them and embedding them in algebraic structures sufficiently rich to extract new information from them. I have been able to use Hopf-algebras to derive new identities for the Martin polynomials of both oriented and unoriented Eulerian graphs. Currently, I am considering two problems. One is developing a new graph polynomial that might lead to some insights into the cycle double cover conjecture. The other is constructing a generalization of the Penrose polynomial to address graph coloring questions. Papers
Postscript files are available for several of these papers. They can be viewed and printed using Ghostview, which is available on line--click here to go to the site.
Identities for the Circuit Partition Polynomials, with Applications to the Diagonal Tutte Polynomial. Submitted to Journal of Combinatorial Theory, Series B, September 2000. [click here for postscript file--2 files]
Exploring the diagonal Tutte Polynomial. Submitted to Journal of Combinatorial Theory, Series B, August 2000. [click here for postscript file--3 files]
Identities for the Martin Polynomial of an Oriented Graph. Submitted to Journal of Combinatorial Theory, Series B, July 2000. [click here for postscript file--7 files]
Differentiating the Martin Polynomial. To appear in Congressus Numerantium. [click here for postscript file--449 KB]
Martin Polynomial Miscellanea. Congressus Numerantium, vol. 137, 19-31 (1999). [click here for postscript file--481 KB]
New Results for the Martin Polynomial. Journal of Combinatorial Theory, Series B 74, 326-352 (1998). [click here for postscript file--4 files]
A Unique, Universal Graph Polynomial and Its Hopf Algebraic Properties. Preprint.
How Many People are in Your Future? Elementary Models of Population Growth. With George Ashline. In Making Meaning: Integrating Science through the Case Study Approach to Teaching and Learning, a compilation of case studies published by McGraw-Hill Primis. 42- 80 (1999).
How Many People are in Your Future? Elementary Models of Population Growth. With George Ashline. Updated version republished in Kuntz, S., et. al., "Case Studies in Ecology." New York: WCB McGraw-Hill, (1999).
Interdisciplinary Population Projects in a First Semester Calculus Course. With George Ashline. PRIMUS, IX, 39-55, March 1999.
Population Models in Biology and Demography. With George Ashline. Tools For Teaching 1999, 39- 80, UMAP unit 777.
Home Sweet Home: A Financial Incentive for the Lower Level Mathematics Course. With George Ashline. To appear in PRIMUS.
Credit Cards and Cars: The Mathematics of the American Dream. With George Ashline. Preprint.
Activities Modules to Accompany Mathematics, a Practical Odyssey, by Johnson and Mowery. Under negotiation with the publisher.
Saint Michael's-related links
For more information, you may want to check out these.
UVM Applied Combinatorics Seminar Weekly speakers from academia and industry using and developing combinatorial techniques.Graph Theory Resources This site has links to people, problems, journals, etc. involved with graph theory.
Math Archives This is a huge archive of all kinds of math related resources, from teaching resources to CAS (eg Maple) support, from graphing calculators to electronic journals.POPMathematics What is POP Mathematics? From the site creators:
The following website has some great explainations and good Java applets for a wide range of mathematical concepts.http://www.math.montana.edu/~frankw/ccp/Java/Overview.htm
The wallpaper on this page was modified from wallpaper taken from http://www.eccentrics.com/scruffypup/ where there are lots of other very lyrical wallpapers.