Louis H. Kauffman

Louis H. Kauffman (2009)

Louis H. Kauffman ( Louis Hirsch Kauffman ; born February 3, 1945 ) is an American mathematician, who is known for his work in knot theory .

Kauffman studied at the Massachusetts Institute of Technology (MIT) and received his bachelor's degree there in 1966. In 1972 he received his PhD under William Browder at Princeton University ( Cyclic Branched-Covers, O (n) -Actions and Hypersurface Singularities ). He is currently a professor at the University of Illinois at Chicago . He was u. a. Visiting professor at the University of Zaragoza , the University of Iowa , the Institut des Hautes Études Scientifiques (IHES) near Paris , the Institut Henri Poincaré in Paris and the Isaac Newton Institute in Cambridge .

Kauffman studied nodes and their relationships to quantum field theory, statistical mechanics. The Kauffman polynomials in knot theory and the virtual knot theory come from him. He gave interpretations of the Alexander and Jones invariants of knot theory by means of sums of state (similar to those of statistical mechanics). For the Jones invariant, he used the bracket polynomials he had introduced.

Kauffman also deals with cybernetics . He was President of the American Society for Cybernetics in 2007 and received its Warren McCulloch Prize in 1993 . He has a column in Cybernetics and Human Knowing magazine .

He is a fellow of the American Mathematical Society .

Books

On knots. Princeton University Press, 1987
Knots and Physics. World Scientific, 1991; 2001
- Node. Diagrams, state models, polynomial variants. Spectrum, Heidelberg / Berlin / Oxford 1995, ISBN 3-86025-232-1
with Randy Baadhio: Quantum Topology. World Scientific, 1993
with Sostenes Lins Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds. Princeton University Press, 1994
Knots and Applications. 1995
The Interface of Knots and Physics. AMS 1995
with Andrzej Stasiak & Vsevolod Katritch: Ideal Knots. World Scientific, 1999
with Yumei Dang & Daniel Sandin Hypercomplex Iterations: Distance Estimation and Higher Dimensional Fractals. World Scientific, 2002
Formal Knot Theory , Princeton University Press, 1983 (and expanded: Dover Publications, 2006)
with J. Scott Carter & Seiichi Kamada: Intelligence of Low Dimensional Topology 2006. 2007

Web links

personal data
SURNAME	Kauffman, Louis H.
ALTERNATIVE NAMES	Kauffman, Louis Hirsch (full name)
BRIEF DESCRIPTION	American mathematician
DATE OF BIRTH	February 3, 1945