Leon Hardy

Leon Hardy
Mathematics
Visiting Lecturer, Ph.D. Mathematics, University of New England in Armidale, Australia, 2005.
Email: Dr. Leon Hardy
Phone: (727) 873-4871

I am interested in highly interdisciplinary problems of physics, mathematics, cognitive science and computational biology. In cognitive science, I am interested in the cognitive/emotional processes of decision-making and attention in humans. In computational biology, I am concerned with understanding the molecular dynamic simulation of the Bax peptide and its interaction with the mitochondrial membrane. In environmental science, I am interested in developing a rigorous mathematical model for sustainability.

While mathematics provides a clear language from which to approach many complex physical problems, I also have interest in purely mathematical problems, such as chaotic tilings, Hopf algebras, algebraic topology, knot theory and quandles. I have an interest in applications of geometric algebra to quantum mechanics and special/general relativity .

Selected Publications
Hardy, L.C., A combinatoric characterization of the factorization systems of manifolds, 2011, submitted.

Elhamdadi, E. and Hardy, L. C., On the geometric algebra of operators and representations in quantum mechanics, 2011, submitted.

Liu, D., Amanfu, L. and Hardy, L., Detection of determinism and chaotic behavior in single pilot performance (SPP) flight data}, Nonlinear Dynamics, Psychology, and Life Sciences, submitted.

Percy, A., Spark I., Y. Ibrahim and Hardy L., A numerical control algorithm for navigation of an operator-driven snake-like robot with 4WD-4WS segments, Robotica 29, 471-482 , 2010.

Hardy L., C., A Construction of a Hopf Algebra for Manifolds, Lambert Academic Publishing, 2010.

Hardy L. C., Levine D. S. and Liu D., On the Neurohydrodynamics of Neural Networks, Post-Conference Proceedings of 13th World Multi-Conference on Systemics, Cybernetics and Informatics; WMSCI, 2009.

Amafu, L., Liu, D., Boquet, A., Hardy, L. and Ding, X., Investigation of chaotic behavior in flight airspeed error performance data, Proceedings of the 2009 Industrial Engineering Research Conference, 2009.

Hardy, L., On a relationship between the Hausdorff dimension and the integration order, Journal of Mathematics, Statistics and Allied Fields, Volume 1, Issue 1, pp. 1-7, 2007.

Courses
I lecture algebra-based physics and mathematics.

Interested in Mathematics and Physics?

Contact Dr. Hardy