Jerzy Kocik

Education

Ph.D., Southern Illinois University, 1989. Mathematical physics, Lie algebras, differential-geometric structures, symplectic geometry.

Selected Publications

1. Lens sequences, Journal of Integral Sequences, Vol 23, article 20.11.6 (2020)  (36 pages).
2. Skein relations for spin networks, modified, Journal of Knot Theory and its Ramifications, 27 (7) 2018, (21 pages).
3. Krawtchouk matrices from the Feynman path integral and form the split quaternions, Contemporary Mathematics, 668, 2016, pp. 131-164.
4. Harmonic evolutions on graphs, International Journal of Mathematics and Computer Science, 2 2007, no. 1, pp. 65-82.
5. Clifford algebras and Euclid's parameterization of Pythagorean triples, Advances in Applied Clifford Algebras (Mathematical Structures), 17 2007 pp. 71-93.
6. On a Diophantine equation that generates all integral Apollonian gaskets, ISRN, vol. 2012, Article ID 348618, 2012 (19 pages).
7. Disentangling a triangle, Am. Math. Monthly, 116(3), 2009, pp. 384-390 (with A. Solecki.)  This article won the Lester Ford Award. 
8. Berezin quantization of the Schroedinger algebra (with P. Feinsilver and R. Schott) Infinite-Dimensional Analysis: QP, 6 1, 2003, pp. 57-71.
9. Krawtchouk matrices from classical and quantum walks (with P. Feinsilver) Contemporary Mathematics, 287 2002 , pp. 83-96.
10. Duplex numbers, diffusion systems, and generalized quantum mechanics, International Journal for Theoretical Physics, 38 (8) 1999 (Aug), pp. 2219-28.