Publications and Projects    


This site was last updated on Tuesday, April 29th, 2008.

Please click on the highlighted text in order to download a given paper in PostScript format (although a couple of the more recent ones are in PDF!), or to view information concerning a publication.

If would like to receive preprints/reprints in another format, please send me an e-mail, and I'll be happy to oblige.


Articles

"The mathematical muse: using math to construct poetry," preprint, submitted to Math Horizons.

"Asymptotic connectivity of hyperbolic planar graphs," with M.R. DiPasquale, preprint, submitted to Discrete Math.

"Gracefulness of families of spiders," with S. Lake and A. Wertheim, preprint, submitted to Involve.

"Channel assignment on Cayley graphs," preprint, submitted to J. Graph Theory.

"Properties of certain nonuniform recursive trees," with S.R. Kaplan, preprint, submitted to Studia Sci. Math. Hungar.

"Math and metaphor: using poetry to teach college mathematics," to appear in WAC Journal, 2009.

"Utility and expandability of channel assignments, with T. Mahoney, to appear in Ars Combin., 2009.

"The average connectivity of a family of expander graphs," to appear in J. Combin. Math. Combin. Comput., 2009.

"Decremental tag systems and random trees," with J. Knox and M. McClure, Complex Systems 18 (2009) 215-225. (Here is a link to a computational supplement, including Mathematica code implementing computations appearing in the article.)

"Ordering BS(1,3) using the Magnus transformation," with V. Collins and E. Heron, Involve 2 (2009) no. 2, 211-223.

"Asymptotic connectivity of infinite graphs," Discrete Math. 309 (2009) 2250-2259.

"BS(1,2) and a construction of Magnus," Comm. Algebra 35 (2007) no. 12, 4088-4095.

"Rewriting systems and orderings on Artin monoids," with T. Smith, Internat. J. Algebra Comput. 17 (2007) no. 1, 61-75.

"Some new biautomatic Coxeter groups," J. Algebra 296 (2006) 339-347.

"Automorphisms of Coxeter groups," Trans. Amer. Math. Soc. 358 (2006) no. 4, 1781-1796.

"Reflection independence in even Coxeter groups," with M. Mihalik, Geom. Ded. 110 (2005) no. 1, 63-80.

"Strongly rigid even Coxeter groups," Topology Proceedings 28 (2004) no. 1, 19-54.

"A new class of rigid Coxeter groups," Internat. J. Algebra Comput. 13 (2003) no. 1, 87-94.

"Cancellative residuated lattices," with J. Cole, N. Galatos, P. Jipsen, and C. Tsinakis, Algebra Universalis 50 (2003) 83-106.

Ph.D. Dissertation

"Even rigidity in Coxeter groups," 2002. (As submitted to Vanderbilt University, March, 2002.)

Other Publications

The Isomorphism Problem in Coxeter groups (lecture notes volume for Imperial College Press, London, and World Scientific Publishing Co., Singapore), 2005. Here is the swanky cover design worked up by the folks at WSPC, and visible at the right; click to enlarge it, and to see a rather informal testimonial, captured on April 9th, 2005!

From here to infinity: a foundation for calculus, with J. Alan Alewine, Derek Bruff, James A. Cole, Nikolaos Galatos, Erica L. C. King, Jo Ann W. Staples, Sarah Ann Stewart. Thomson Learning Custom Publishing, 2001. /


Ongoing Projects

Here is the list of problems I will be giving to the students participating in my 2009 Summer REU program; it reflects rather accurately the sort of questions I am thinking about right now.


All contents © 2002-2008 Patrick Bahls, all rights reserved. So there.