Structural Theory and Classification of 2D Adinkras, (with Y. X. Zhang), Advances in High Energy Physics, vol. 2016, Article ID 3980613, 12 pages, 2016. doi:10.1155/2016/3980613. arxiv
Geometrization of N-Extended 1-Dimensional Supersymmetry Algebras, (with C.F. Doran, G. Landweber, S. Mendez--Diez) Advances in Theoretical and Mathematical Physics, Vol. 19, No. 5 (2015), pp. 1043-1113.arxiv
Hardness of Learning Problems over Burnside Groups of Exponent 3 (with N. Fazio, A. Nicolosi, L. Perret, W. Skeith),, Designs, Codes and Cryptography: Volume 75, Issue 1 (2015), Page 59-70, DOI 10.1007/s10623-013-9892-6.Cryptology-ePrint
On General Off-Shell Representations of World Line (1D) Supersymmetry, (with C. Doran, T. Hubsch, G. Landweber), Symmetry 2014, 6(1), 67-88 (2014) arxiv.
Hardness of Learning Problems over Burnside Groups of Exponent 3, (with N. Fazio, A. Nicolosi, L. Perret, W. Skeith), Designs, Codes, and Cryptography, Springer, DOI 10.1007/s10623-013-9892-6, (2013) eprint.
Pure and entangled N=4 linear supermultiples and their one dimensional sigma models, (with M. Gonzalez, S. Khodaee, and F. Toppan), J. Math. Phys. 53, 103513 (2012) arxiv.
Codes and Supersymmetry in One Dimension, (with DFGHILM), Adv. Theor. Math. Phys. 15 (2011), 1909-1970. arxiv
Dimensional Enhancement via Supersymmetry (with M. Faux and G. Landweber), Advances in Mathematical Physics (2011), Article ID 259089, 45 pages, doi:10.1155/2011/259089. arxiv
A Superfield for Every Dash-Chromotopology (with DFGHIL), Int. J. Mod. Phys., A24 (2009), 5681--5695. arxiv
Relating Doubly-Even Error-Correcting Codes, Graphs, and Irreducible Representations of N-Extended Supersymmetry (with DFGHIL), Discrete and Computational Mathematics, eds. F. Liu et al. (Nova Science Pub., Inc. Hauppage, 2008): arxiv
Adinkras and the Dynamics of Superspace Prepotentials (with DFGHIL), Adv. S. Th. Phys. 2 (3) (2008) 113-164.arxiv
On the matter of N=2 Matter (with DFGHIL), Phys. Lett. B659 (2008) 441-446.arxiv
Pebble sets in Polygons
(with R. Maddox), J. Discrete Comput. Geom. (2007) 38: 680-700
pdf
A Counter-Example to a Putative Classification of 1-Dimensional, N-extended Supermultiplets (with DFGHIL), Adv. S. Th. Phys. 2 (3) (2008) 99-111.arxiv
On Graph-theoretic Identifications of Adinkras, Supersymmetry Representations and Superfields
(with C. Doran, M. Faux, S. Gates, T. Hubsch, G. Landweber), Int. J. Mod. Phys. A22 (2007) 869-930.
arxiv
Truckdrivers, A Straw, and Sharing a Glass of Water
(with K. Killpatrick)
texpdf
What do Topologists want from Seiberg--Witten theory?:
A review of the impact of Seiberg-Witten theory on the topology of
four-manifolds, Internat. J. Modern Phys. A 17 (2002), no. 30, 4463-4514 tex dvi ps
Dynamical systems proof of Fermat's little theorem, Math Magazine,
tex dvi ps
Superharmonic Functions and the Penrose Inequality (with H. Bray), Comm. Anal. Geom. (10) (2002) 5: 999-1016 tex
Papers available, but not (yet) published
An Application of Cubical Cohomology to Adinkras and Supersymmetry Representations (with C. Doran and G. Landweber)
arxiv
Off-shell supersymmetry and filtered Clifford supermodules
(with C. Doran, M. Faux, S. Gates, T. Hubsch, G. Landweber)
arxiv
texpdf
My Thesis: Moduli spaces of Seiberg-Witten Flows dvi ps