Louis H Kauffman | University of Illinois at Chicago (original) (raw)
Louis H Kauffman was born February 3, 1945 in Potsdam, New York. He graduated in 1962 from Norwood, Norfolk High School and earned a BS in Mathematics from MIT in 1966. He received a PhD in Mathematics from Princeton University in 1972. He teaches at the University of Illinois from 1971 to the present time, where is now Professor of Mathematics Emeritus. Kauffman is known for introducing state summations into the theory of invariants of knots, beginning with his model for the Alexander Polynomial and his bracket state summation model for the Jones polynomial. He is know for his discovery of the two-variable Kauffman polynomial and for his discovery and investigation of virtual knot theory. He is the author of four books on the theory of knots and the editor of a number of collections of papers related to knot theory. Kauffman is the Editor in Chief and founding editor of the Journal of Knot Theory and Its Ramifications (JKTR) published by World Scientific. Kauffman is the editor of the Book Series on Knots and Everything published by World Scientific. Kauffman is a Fellow of the American Mathematical Society and a former Polya Lecturer for the Mathematical Society of America. Kauffman is the recipient of the Warren McCulloch Award and the Norbert Wiener Gold Medal of the American Society for Cybernetics. His research interests are in knot theory, quantum theory and the epistemology of form. He writes a regular column on Virtual Logic for the Journal, Cybernetics and Human Knowing. He plays clarinet in the Chicago based ChickenFat Klezmer Orchestra.
Supervisors: Kauffman's PhD advisor is William Browder
Phone: (312)996-3066
Address: 5530 South Shore Drive, Apt 7C
Chicago, IL 60637-1946
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Papers by Louis H Kauffman
Handbook of Knot Theory, 2005
Princeton University Press eBooks, 1994
arXiv (Cornell University), Oct 14, 2004
Journal of Knot Theory and Its Ramifications, Jun 26, 2023
Leonardo, Jun 1, 2006
The authors reflect on the experiences of collaboration between artists and scientists at the Ele... more The authors reflect on the experiences of collaboration between artists and scientists at the Electronic Visualization Laboratory at the University of Illinois at Chicago. They outline the measures that enable both media artists and computer scientists to benefit from the collaborations. In particular, if long-term collaborations are to be successful, the collaborators must garner rewards not only in the field of the collaboration but also in their own respective academic or professional fields.
Princeton University Press eBooks, Dec 31, 1994
Manuscripta Mathematica, Dec 1, 1991
Conjecture: Consider an arbitrary closed 3-manifold M, and let X be a special spine for M. Let n,... more Conjecture: Consider an arbitrary closed 3-manifold M, and let X be a special spine for M. Let n, be the number of closed surfaces contained in X that have even Euler characteristic and no the number of closed surfaces in X that have odd Euler characteristic. Then either, nr = ...
arXiv (Cornell University), Oct 14, 2007
ABSTRACT This paper has been withdrawn because there is a fundamental error in the computations; ... more ABSTRACT This paper has been withdrawn because there is a fundamental error in the computations; with the right computational scheme it seems to be just a version of the Jones polynomial Comment: This paper has been withdrawn because there is a fundamental error in the computations; with the right computational scheme it seems to be just a version of the Jones polynomial
Discrete Mathematics, May 1, 1992
arXiv (Cornell University), Apr 26, 2022
Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), 1994
Handbook of Knot Theory, 2005
Princeton University Press eBooks, 1994
arXiv (Cornell University), Oct 14, 2004
Journal of Knot Theory and Its Ramifications, Jun 26, 2023
Leonardo, Jun 1, 2006
The authors reflect on the experiences of collaboration between artists and scientists at the Ele... more The authors reflect on the experiences of collaboration between artists and scientists at the Electronic Visualization Laboratory at the University of Illinois at Chicago. They outline the measures that enable both media artists and computer scientists to benefit from the collaborations. In particular, if long-term collaborations are to be successful, the collaborators must garner rewards not only in the field of the collaboration but also in their own respective academic or professional fields.
Princeton University Press eBooks, Dec 31, 1994
Manuscripta Mathematica, Dec 1, 1991
Conjecture: Consider an arbitrary closed 3-manifold M, and let X be a special spine for M. Let n,... more Conjecture: Consider an arbitrary closed 3-manifold M, and let X be a special spine for M. Let n, be the number of closed surfaces contained in X that have even Euler characteristic and no the number of closed surfaces in X that have odd Euler characteristic. Then either, nr = ...
arXiv (Cornell University), Oct 14, 2007
ABSTRACT This paper has been withdrawn because there is a fundamental error in the computations; ... more ABSTRACT This paper has been withdrawn because there is a fundamental error in the computations; with the right computational scheme it seems to be just a version of the Jones polynomial Comment: This paper has been withdrawn because there is a fundamental error in the computations; with the right computational scheme it seems to be just a version of the Jones polynomial
Discrete Mathematics, May 1, 1992
arXiv (Cornell University), Apr 26, 2022
Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), 1994
This is a handwritten introduction to the Temperley Lieb Category. The purpose of this paper is t... more This is a handwritten introduction to the Temperley Lieb Category. The purpose of this paper is to demonstrate that by not using handwriting we are losing a large dimension of mathematical and communicative possibility.