Preprints

- ``Some Constraints on the Missing Moore Graph'', submitted.
- ``On the Spectrum of the Bubble Sort
Graph'', submitted.

Publications

- ``The Distance Spectra of Cayley
Graphs of Coxeter Groups'',
*Discrete Mathematics*, 311 (2011) 738-755. pdf journal link - ``On the Spectrum of the Derangement
Graph'',
*Electronic Journal of Combinatorics*, 14(1) (2007), #R82. pdf journal link - ``Foolproof: A Sampling of
Mathematical Folk Humor" (with A. Dundes),
*Notices of the AMS*, 52 (2005) 24-34. pdf - ``On the Chromatic Number of the
Complement of a Class of Line Graphs",
*Ars Combinatoria*, 67 (2003) 33-36. pdf ps.gz (note) - ``The Hilbert Series of the Face
Ring of a Flag Complex'',
*Graphs and Combinatorics*, 18 (2002) 3, 605-619. Journal link here. Preprint available in pdf. - Review of
__Three Roads to Quantum Gravity__by Lee Smolin, in*American Scientist*, 90 (2002) 76-78. Available here. - ``Geometric Approaches to the
Enumeration of Posets: An Introductory Survey'',
*Nieuw Archief voor Wiskunde*, 14 (1996) 349-371. - Review of
__Black Holes and Time Warps: Einstein's Outrageous Legacy__by Kip Thorne, in*American Scientist*, 83 (1995) 373-374. - ``On the Enumeration of Finite
Topologies'',
*Journal of Combinatorics, Information, and System Sciences*, 19 (1994) 201-206. - ``Unification of Forces in
Physics'',
__Encyclopaedia Americana__, 1993-2010 Editions, (Grolier Incorporated, Danbury, CT, 1993). - ``Quantum Gravity'',
*American Scientist*, 79 (1991) 508-527. - ``Metric Space as a Model of
Spacetime: Classical Theory and Quantization'' (with
C.J. Isham and Y. Kubyshin), in
__The Physical Universe: The Interface Between Cosmology, Astrophysics, and Particle Physics__. Proceedings of the XII Autumn School of Physics (Lisbon, 1-5 October, 1990). Ed. by J.D. Barrow, A.B. Henriques, M.T.V.T. Lago, and M.S. Longair. Lecture Notes in Physics, Vol. 383 (Springer-Verlag, Berlin, 1991), pp. 159-173. - ``Quantum Metric Topology'' (with
C.J. Isham and Y. Kubyshin), in
__Quantum Gravity__. Proceedings of the 5th Seminar (Moscow, 28 May - 1 June 1990). Ed. by M.A. Markov, V.A. Berezin, and V.P. Frolov. (World Scientific, Singapore, 1991), pp. 60-82. - ``Quantum Norm Theory and the
Quantization of Metric Topology'' (with C.J. Isham and Y.
Kubyshin),
*Classical and Quantum Gravity*, 7, 1990, 1053-1074. - ``Some Results of SU(2) Spinorial
Lattice Gravity'',
*Classical and Quantum Gravity*, 7, 1990, 493-502. - ``Midrapidity π-/π+ Ratios in 1.05
GeV/nucleon
^{40}Ca+^{40}Ca Collisions'' (with J.W. Harris, J. Miller, H.G. Pugh, G. Roche, L.S. Schroeder, R.N. Treuhaft, P.N. Kirk, G. Krebs, R. Brockmann, and K.L. Wolf),*Physical Review C*, 41, 1990, 147-151. - ``A Lattice Approach to Spinorial
Quantum Gravity'' (with L. Smolin),
*Classical and Quantum Gravity*, 6, 1989, 275-294. - ``A New Lattice Regularization for
Quantum Gravity'' in A. Ashtekar (Ed.),
__New Perspectives in Canonical Gravity__(Bibliopoulis, Naples, 1988) Chapter 7, pp. 267-273.

Talk Slides

- An Introduction to Hyperplane Arrangements
- The Spectrum of the Derangement Graph
- The Distance Spectra of Cayley Graphs of Coxeter Groups (Note: See the published article for a proof of the conjecture regarding the eigenvalues of the weak order graphs of types A, D, and E)
- Some
Reflection Group Numerology (Note: An argument due
to Matt Fayers shows that the analogue of the normal form
theorem fails in types D_n (n>3) and H_3, and is likely to
be false for all the other types.)

Unpublished Manuscripts

- A Bound on the Number of Minimum Covers of a Hypergraph, August, 2003, pdf