Kevin Iga's webpage

Who I am

Curriculum Vitae

Contact information

Kevin Iga
Pepperdine University
Natural Science Division
24255 Pacific Coast Hwy.
Malibu, CA 90263-4321
(310) 506-4313
Kevin Iga
28637 Conejo View Dr.
Agoura Hills, CA 91301
(818) 456-9495

Classes (Fall 2016)

(Note: Course websites are now on Courses.)

Past classes

Past classes information

Math documents

Papers published

  • 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) tex pdf
  • 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

    Notes, not to be published

  • Notes on a talk I gave for tutors tex dvi ps
  • Fractional Iteration tex(tar) dvi ps
  • Notes on Fermat Talks tex dvi ps
  • Classical Four-manifold Topology tex
  • Transversality in Morse Theory tex
  • Compactness in Morse Theory tex dvi ps
  • Periods of Fibonacci sequences modulo N tex dvi ps
  • Degree 1 maps from spheres implies homotopy sphere tex

    Things I've not finished

    Useful Links

    Kevin Iga