jerzy kocik: papers

Triangle Simplified The 2019 Annual Meeting of the Illinois Section of the MAA, Carbondale, 30-31March, 2019
Stern-Brocot-like trees, continued fractions, and topology, Knots in Washington XLVI, George Washington University, May 4-6, 2018 (invited talk)
Apollonian coronas, spinor structures, tessellations and Epstein-like Zeta functions, AMS Spring Western Sectional Meeting, Portland State University, Portland, OR, April 14-15, 2018, Meeting #1137 (invited talk).
On the Apollonian crossroad of structures: geometry, algebra, and physics, EIU Conference on Geometry, Dynamics, Topology, Charleston, IL, April 6-8, 2018 (invited talk)
On the Area of Apollonian Coronas and the Epstein Zeta function. The Post-Eclipse Mini-Symposium on Mathematical Physics, Carbondale, 23 Aug 2017.
How much physics in the Apollonian gasket. A National Research Conference in the Fields of Pure Mathematics, Carbondale, 15-16 May 2017.
The geometry and algebra of the celestial sphere: the Lorentz group tamed. A National Research Conference in the Fields of Pure Mathematics, 17 May 2016, Carbondale.
Celestial sphere, spinors relativistic composition of velocities. Spring Western Sectional Meeting, University of Utah, Salt Lake City, UT, April 9-10, 2016, Meeting #1119 (invited talk).
Geometry of the spinor action on the celestial sphere and relativistic addition of velocities. Spring Western Sectional Meeting, University of Nevada, Las Vegas, NV, April 18-19, 2015, Meeting #1110 (invited talk).
From split quaternions to Krawtchouk matrices to representations of SL2 and beyond - at the Probability on Algebraic and Geometric Structures, Carbondale, IL, June 5-7, 2014.
Spin networks in the integral Apollonian disk packings - at the 2014 Spring Western Sectional Meeting, University of New Mexico, Albuquerque, NM, April 2014, Meeting #1099 (invited talk).
The game of light - harmonic evolutions on graphs - at the Gathering for Gardner 11, Atlanta, GA, March 19-23, 2014 (invited talk).
Topology and geometry of Apollonian disc packing and physics - 2013 Spring Western Sectional Meeting, University of Colorado Boulder, Boulder, CO, April 13-14, 2013, Meeting #1089.
Classical and quantum aspects of Krawtchouk matrices - 2012 Spring Eastern Sectional Meeting, George Washington University, Washington, DC, March 17-18, 2012 (Saturday - Sunday), Meeting #1080.
Krawtchouk matrices: interpretations and applications - KNOTS IN WASHINGTON XXXIV. The George Washington University, March 14-16, 2012. http://atlas-conferences.com/cgi-bin/abstract/cbek-01
[invited plenary talk] The Magic Behind Quantum Computing: Chapter -1 - at the Knots at Washington XXXIII, George Washington University, Washington DC, Dec 2-4, 2011.
Spinor Structure of an Apollonian Gasket - at the AMS Western Section Meeting, Salt Lake City, UT, Oct 22-23, 2011.
Symplectic geometry of phenomenological thermodynamics - at the Ninth International Workshop of Applied Category Theory, Graph-Operad-Logic, The University of Texas at San Antonio, Mar 14-19, 2011
Topological game on graphs -at the Ninth International Workshop of Applied Category Theory, Graph-Operad-Logic, The University of Texas at San Antonio, Mar 14-19, 2011
Theory of relativity and quaternions - at the Ninth International Workshop of Applied Category Theory, Graph-Operad-Logic, The University of Texas at San Antonio, Mar 14-19, 2011
Algebraic structures on Apollonian Gaskets (a series of invited talks) - at the 8th International Workshop of Applied Category Theory, Graph-Operad-Logic, Nayarit, Mexico, January 2010.
Beyond "Beyond Descartes Theorem" - at The 28th Annual Mathematics Symposium, "New Approaches to Familiar Mathematics", Western Kentucky University, October 2008.
The Apollonian Window - at The Eighty-Seventh Annual Meeting of the Illinois Section of the Mathematical Association of America, Charleston, IL, April 4-5, 2008.
Looking through the Apollonian Window - at Gathering for Gardner 8, Atlanta, GA, March 2008. (invited talk)
Generating Function for Cauchy's Enumeration Formula - at the Fifth International Workshop on Applied Category Theory, Graph-Operad-Logic, M�rida, May 2006.
Classical Mechanics on Lie Algebras and more - at the 1000th AMS Meeting at Albuquerque, NM, Oct 16-17, 2004. (invited talk)
Krawtchouk Matrices from Hadamard-Sylvester Matrices via a Shuffling Function - at the 16th Midwest Conference on Combinatorics, Cryptography, and Computing, Carbondale IL, Nov 2002.
Clifford-Algebra Valued Quantum Mechanics - at the 6-th International Conference on Clifford Algebras and Their Applications, Cookeville TN, May 2002.
Evolution Equations on Lie Groups and Stochastic Processes - at the Spring Central Section Meeting, Notre Dame, IN, April 2000 (with Ph. Feinsilver).
Tournaments, Octonions, Quarks, and Projective Algebras - at the Sixth Carbondale Combinatorics Conference, Carbondale Illinois, October 1992.
Lie Algebras and Lagrangian Mechanics - at the South Bend Joint Mathematical Meeting, South Bend, Indiana, March 1991.
Relativity, Mathematics, Imagination - (plenary talk) at the Sixty-Ninth Annual Meeting of MAA, held in Decatur, Illinois, April 1990 (invited plenary talk)
Grassmann Extension of a Lie Algebra - at the Louisville Joint Mathematical Meeting, Louisville, Kentucky, January 1990.
Induced Orders in Word Monoids - at the Fifth Carbondale Combinatorics Conference, Carbondale Illinois, November 1990.
On Formal Tense Systems - at the Third Carbondale Combinatorics Conference, Carbondale, Illinois, November 1988.
Lagrangian-Newtonian Duality - at First International Conference of the Physics of Phase Space, College Park, Maryland, May 1986.
Magic Cube of Thermodynamics - at Symposium on Symmetries in Science, Carbondale, Illinois, March 1986.
Projections of Spinor Spaces onto Minkowski Space - at Symposium on Symmetries in Science, Carbondale, Illinois, March 1986.
On Description of Connection - at the Sixteenth Symposium on Mathematical Physics, Torun, Poland, December 1983.
Classical Mechanics via Contact Structure: Wave-Particle Duality, Wroclaw-Leipzig Seminar, Germany, 1981.
Hodge Star Operator for not-necessarily Symmetric Inner Product and Dirac Classification of Constraints - at Autumn Wroclaw-Leipzig Seminar, Wroclaw, Poland, November 1979.

Jerzy Kocik

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