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G. Averkov, A. Chavez, J. De Loera, B. Gillespie. "Bases for the Lattice of Cycles of a Graph." In preparation.

B. Gillespie. "Matroids, antimatroids, and the generalized external order." Accepted with revisions to Electronic Journal of Combinatorics. arXiv:1712.04080.

B. Gillespie. "Extending Redheffer's Matrix to Arbitrary Arithmetic Functions." 2011. (PDF)

B. Gillespie. "On Randomness of Subsets of Z_N, as Described by Uniformity of Fourier Coefficients." 2010. (PDF)


B. Gillespie. "Matroids, Antimatroids, and the External Order." Algebra and Discrete Mathematics Seminar, University of California, Davis. Davis, CA. 20 Nov. 2017.

B. Gillespie. "Polymatroids, Zonotopes, and Images of Rational Maps of Projective Spaces." Special Seminar, University of California, Berkeley. Berkeley, CA. 30 Sep. 2015.

B. Gillespie. "Zonotopal Algebra." Graduate Student Combinatorics Conference, University of Kentucky. Lexington, KY. 29 Mar. 2015.

B. Gillespie. "Planar Bond Percolation: An Example of a Nontrivial Phase Transition." Many Cheerful Facts, University of California, Berkeley. Berkeley, CA. 11 Apr. 2012.

B. Gillespie and T. London. "Semi-dispersing Billiards and Infinite Topological Entropy." Young Mathematicians Conference, Ohio State University. Columbus, OH. 17 Aug. 2007.