= Louis H. Kauffman
{c}
<Louis H. Kauffman> studies <knot theory> and its connections with <statistical mechanics>, <quantum theory> and <combinatorics>. His University of Illinois at Chicago research page identifies these connections.https://homepages.math.uic.edu/~kauffman/[Author research statement]{ref}
His <Kauffman bracket> computes a polynomial by resolving each crossing into simpler diagrams and combining the resulting states. A correction using the diagram's <writhe> produces the <Jones polynomial>. The construction explains how a local crossing rule can yield a global invariant of a knot and gives applications to reduced alternating diagrams.<State models and the Jones polynomial by Louis H. Kauffman>[Introduction and section 2, Definition 2.1 and writhe normalization]{ref}
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