Publications

Life as we know it is apparently built out of things called G, T, A, and C.

As far as I can tell, G stands for Geometry, T for Topology, A for Algebra, and C for Combinatorics. The biologists apparently haven’t yet discovered P, which stands for Probability. Anyway I’m using this color coding to try to indicate what each of the following papers contains.

I. Research papers. (See table II. below for expository and other papers.)

G T A C P	An illustrated encyclopedia of area relations with Jamie Pommersheim Submitted for publication.
G T A C P	Generalized dissections and Monsky’s Theorem with Jamie Pommersheim To appear in Discrete and Computational Geometry.
G T A C P	Germ order for one-dimensional packings with Henry Landau, Zeph Landau, Jamie Pommersheim, Jim Propp, and Alex Russell Submitted for publication.
G T A C P	Sums of twisted circulants with Henry Landau, Zeph Landau, and Jamie Pommersheim Submitted for publication.
G T A C P	Group trisections and smooth 4-manifolds with David Gay and Rob Kirby Geometry & Topology, 22:3 (2018), pp. 1537-1546.
G T A C P	Fixed-energy harmonic functions with Rick Kenyon Discrete Analysis 2017:18, 21 pages.
G T A C P	Homological and homotopical Dehn functions are different with Noel Brady, Pallavi Dani, and Robert Young Proceedings of the National Academy of Sciences, vol. 110 no. 48 (Nov. 26, 2013), pp. 19206-19212.
G T A C P	Spaces of polygonal triangulations and Monsky polynomials with Jamie Pommersheim Discrete and Computational Geometry, 51:132 (2014). DOI:10.1007/s00454-013-9553-6
G T A C P	A central limit theorem for repeating patterns with Eric Babson, Henry Landau, Zeph Landau, and Jamie Pommersheim arxiv:1204.2872
G T A C P	Dull cut off for circulants with Eric Babson, Henry Landau, Zeph Landau, and Jamie PommersheimSubmitted for publication.
G T A C P	Discretized configurations and partial partitions with David Gay and Valerie Hower Proceedings of the American Mathematical Society, vol. 141 (2013), pp. 1093-1104.
G T A C P	Pushing fillings in right-angled Artin groups with Noel Brady, Pallavi Dani, Moon Duchin, and Robert Young Journal of the London Mathematical Society, vol. 87 no. 3 (2013), pp. 663-688.
G T A C P	Distributions of order pattern of interval maps with Eric Babson, Henry Landau, Zeph Landau, and Jamie Pommersheim Combinatorics, Probability, & Computing, vol. 22 no. 1 (2013), pp. 319-341.
G T A C P	Filling loops at infinity in the mapping class group with Noel Brady, Pallavi Dani, Moon Duchin, and Robert Young Michigan Mathematics Journal, vol. 61 no. 4 (2012), pp. 867-874.
G T A C P	Optimal estimators for threshold-based quality measures with Sandy Ganzell, Henry Landau, Zeph Landau, Jamie Pommersheim, and Eric Zaslow Journal of Probability and Statistics, vol. 2010 (2010), Article ID 752750.
G T A C P	The number of possibilities for random dating with Rod Canfield and Andrew Granville Journal of Combinatorial Theory, Series A, vol. 115 (2008), pp. 1265-1271.
G T A C P	Random multiplication approaches uniform measure in finite groups with Henry Landau, Zeph Landau, Jamie Pommersheim, and Eric Zaslow Journal of Theoretical Probability, vol. 20 no. 1 (2007), pp. 107-118.
G T A C P	Distances of Heegaard splittings with Saul Schleimer Geometry & Topology, vol. 9 (2005), pp. 95-119.
G T A C P	State complexes for metamorphic robots with Rob Ghrist International Journal of Robotics Research,, vol. 23 no. 7-8 (July 2004), pp. 809-824.
G T A C P	Circles minimize most knot energies with Jason Cantarella, Joe Fu, Mohammad Ghomi, and Ralph Howard Topology, vol. 42, no. 2 (2002), pp. 381-394.
G T A C P	Configuration spaces of colored graphs Geometriae Dedicata, vol. 92 (2002), pp. 185-194.
G T A C P	Evasive random walks and the clairvoyant demon with Henry Landau, Zeph Landau, Jamie Pommersheim, and Eric Zaslow Random Structures & Algorithms, vol. 20, no. 2 (2002), pp. 239-248.
G T A C P	An iterated random function with Lipschitz number one with Henry Landau, Zeph Landau, Jamie Pommersheim, and Eric Zaslow Theory of Probability and Its Applications, vol. 47, no. 2 (2002), pp. 286-300.
G T A C P	Yet another species of forbidden-distances chromatic number with Pete Johnson, Jr. Geombinatorics, vol. 10, no. 3 (2001), pp. 89-95.
G T A C P	Configuration spaces and braid groups of graphs (Postscript file) Ph.D. thesis, UC Berkeley (2000).
G T A C P	The kth upper chromatic number of the line Discrete Mathematics, vol. 169 (1997), pp. 157-162.
G T A C P	The probability that (a,b)=1 with Matteo Paris College Mathematics Journal, vol. 23, no. 1 (1992), pg. 47.

II. Expository articles, announcements, etc.

G T A C P	Braids, a chapter in the book Office Hours with a Geometric Group Theorist, eds. Matt Clay and Dan Margalit (Princeton University Press, 2017)
G T A C P	Finding good bets in the lottery, and why you shouldn’t take them with Skip Garibaldi American Mathematical Monthly, vol. 117 no. 1 (2010), pp. 3-26.
G T A C P	Why not buy lottery tickets? (A non-technical, locally published version of above. A .doc file.) with Skip Garibaldi The Academic Exchange, vol. 10 no. 4 (2008), pp. 10-11.
G T A C P	A million-dollar proof The Mathematical Intelligencer, vol. 29 no. 4 (2007), pg. 8.
G T A C P	Finding topology in a factory: configuration spaces with Rob Ghrist American Mathematical Monthly, vol. 109, no. 2 (2002), pp. 140-150.
G T A C P	Upper chromatic numbers: an update Geombinatorics, vol. 10, no. 1 (2000), pp. 4-11.
G T A C P	Evasive random walks In Paul Erdös and his Mathematics, Budapest, Hungary, July 1999.