John M. Harris
210C Lloyd Hall
Tel: 228.214.3334 Fax: 228.214.3242
Teaching
MAT 326 - Linear Algebra I
office hours: 3:50 - 5:50PM TR, and by appointment
Research
areas of specialization: algebraic topology based on knots, generalized topology.
J. Harris, Continuity and separation for pointwise-symmetric isotonic closure functions (submitted for publication), available at http://arxiv.org/abs/math.GN/0507230, 2005.
J. Harris and M. Lynch, Continuity and separation in symmetric topologies (submitted for publication), 2005.
P. Gilmer and J. Harris, On the Kauffman bracket skein module of the quaternionic manifold (submitted for publication), available at http://arxiv.org/abs/math.GT/0406152, 2004.
J. Harris, The
Kauffman bracket skein module of the quaternionic manifold,
Mathematica notebooks appearing in dissertation: appendix_a.nb, appendix_b.nb
Presentations
Harris, John. Generating the KBSM's of manifolds obtained by surgery on (2, 2n) torus links (preliminary report). Presented at the 2005 AMS-IMS-SIAM Summer Research Conference in the Mathematical Sciences.
Harris, John. Linear independence in the Kauffman bracket skein module of the quaternionic manifold (preliminary report). Presented at the Spring 2003 AMS Southeastern Sectional Meeting.
Harris, John. Kauffman bracket skein module of quaternionic space (preliminary report). Presented at the 2003 AMS/MAA Joint Mathematics Meetings.