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Louis H. Kauffman

Orcid: 0000-0003-4135-8685

Affiliations:
  • University of Illinois at Chicago, Department of Mathematics, Statistics, and Computer Science, Chicago, IL, USA


According to our database1, Louis H. Kauffman authored at least 96 papers between 1978 and 2025.

Collaborative distances:

Timeline

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Online presence:

On csauthors.net:

Bibliography

2025
A State Sum for the Total Face Color Polynomial.
[BibTeX]
[DOI]
Scott Baldridge
,
Louis H. Kauffman
,
Ben McCarty
J. Graph Theory, 2025

Mock Alexander Polynomials.
[BibTeX]
[DOI]
Neslihan Gügümcü
,
Louis H. Kauffman
Electron. J. Comb., 2025

2024
Quantization of a New Canonical, Covariant, and Symplectic Hamiltonian Density.
[BibTeX]
[DOI]
David Chester
,
Xerxes D. Arsiwalla
,
Louis H. Kauffman
,
Michel Planat
,
Klee Irwin
Symmetry, March, 2024

2023
Autopoiesis and Eigenform.
[BibTeX]
[DOI]
Louis H. Kauffman
Comput., December, 2023

2022
Calculus, Gauge Theory and Noncommutative Worlds.
[BibTeX]
[DOI]
Louis H. Kauffman
Symmetry, 2022

Invariants of Bonded Knotoids and Applications to Protein Folding.
[BibTeX]
[DOI]
Neslihan Gügümcü
,
Bostjan Gabrovsek
,
Louis H. Kauffman
Symmetry, 2022

On ribbon graphs and virtual links.
[BibTeX]
[DOI]
Scott Baldridge
,
Louis H. Kauffman
,
William Rushworth
Eur. J. Comb., 2022

2021
Iterants, Majorana Fermions and the Majorana-Dirac Equation.
[BibTeX]
[DOI]
Louis H. Kauffman
Symmetry, 2021

Finite type invariants for knotoids.
[BibTeX]
[DOI]
Manousos Manouras
,
Sofia Lambropoulou
,
Louis H. Kauffman
Eur. J. Comb., 2021

2019
Topological aspects of quantum entanglement.
[BibTeX]
[DOI]
Louis H. Kauffman
,
Eshan Mehrotra
Quantum Inf. Process., 2019

2018
Correction to: Braiding, Majorana fermions, Fibonacci particles and topological quantum computing.
[BibTeX]
[DOI]
Louis H. Kauffman
,
Samuel J. Lomonaco
Quantum Inf. Process., 2018

Braiding, Majorana fermions, Fibonacci particles and topological quantum computing.
[BibTeX]
[DOI]
Louis H. Kauffman
,
Samuel J. Lomonaco
Quantum Inf. Process., 2018

Non-Commutative Worlds and Classical Constraints.
[BibTeX]
[DOI]
Louis H. Kauffman
Entropy, 2018

Virtual Logic-The Erdos Machine.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2018

2017
Skein Invariants of Links and Their State Sum Models.
[BibTeX]
[DOI]
Louis H. Kauffman
,
Sofia Lambropoulou
Symmetry, 2017

A concise approach to eigenform and reflexivity.
[BibTeX]
[DOI]
Louis H. Kauffman
Kybernetes, 2017

Investigation of Bifurcations in the Process Equation.
[BibTeX]
[DOI]
Fahimeh Nazarimehr
,
Sajad Jafari
,
Seyed Mohammad Reza Hashemi Golpayegani
,
Louis H. Kauffman
Int. J. Bifurc. Chaos, 2017

Iterant Algebra.
[BibTeX]
[DOI]
Louis H. Kauffman
Entropy, 2017

New invariants of knotoids.
[BibTeX]
[DOI]
Neslihan Gügümcü
,
Louis H. Kauffman
Eur. J. Comb., 2017

Virtual Logic-Cookie and Parabel Discuss Laws of Form.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2017

Imaginary Values.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2017

Virtual Logic-The Logic of Quantum Theory.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2017

2016
Virtual Logic-George Spencer-Brown (2 April 1923 - 25 August 2016).
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2016

Virtual Logic-Finite Language and the Imagination of Infinity.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2016

Remembrance of Things Past.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2016

The Unknotting Problem.
[BibTeX]
[DOI]
Louis H. Kauffman
Proceedings of the Open Problems in Mathematics., 2016

2015
In Memoriam: Slavik Jablan 1952-2015.
[BibTeX]
[DOI]
Donald Crowe
,
György Darvas
,
Dirk Huylebrouck
,
Jay Kappraff
,
Louis H. Kauffman
,
Sofia Lambropoulou
,
Józef H. Przytycki
,
Ljiljana Radovic
,
Radmila Sazdanovic
,
Vera W. de Spinadel
,
Ana Zekovic
Symmetry, 2015

Virtual Logic-Laws of Form and the Mobius Band.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2015

Foreword: Ranulph Glanville and How to Live the Cybernetics of Unknowing A Festschrift Celebration of the Influence of a Researcher.
[BibTeX]
[DOI]
Phillip Guddemi
,
Søren Brier
,
Louis H. Kauffman
Cybern. Hum. Knowing, 2015

Infinite computations and the generic finite.
[BibTeX]
[DOI]
Louis H. Kauffman
Appl. Math. Comput., 2015

2014
Unknotting Unknots.
[BibTeX]
[DOI]
Allison Henrich
,
Louis H. Kauffman
Am. Math. Mon., 2014

Virtual Logic-The Yablo Paradox.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2014

On Creation From Nothing.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2014

Virtual Logic-Set Theory and the Continuum Hypothesis.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2014

Chemlambda, Universality and Self-Multiplication.
[BibTeX]
[DOI]
Louis H. Kauffman
,
Marius Buliga
Proceedings of the Fourteenth International Conference on the Simulation and Synthesis of Living Systems, 2014

2013
GLC actors, artificial chemical connectomes, topological issues and knots.
[BibTeX]
[DOI]
Marius Buliga
,
Louis H. Kauffman
CoRR, 2013

Laws of Form and Topology: Presentation and Discussion.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2013

Virtual Logic-Extainers, Containers and the Logic of DNA.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2013

2012
Following Knots down Their Energy Gradients.
[BibTeX]
[DOI]
Louis H. Kauffman
Symmetry, 2012

Virtual Logic-The Combinatorial Hierarchy: 'One, Two, Three, Infinity!'.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2012

Categorical pairs and the indicative shift.
[BibTeX]
[DOI]
Louis H. Kauffman
Appl. Math. Comput., 2012

2011
Virtual Logic-Number and Imagination.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2011

Eigenforms and Quantum Physics.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2011

Peirce's Existential Graphs.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2011

2010
Virtual Logic - The Square Root of Two.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2010

Virtual Logic-Circularity, Knots and the ASC.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2010

2009
Determinants of Rational Knots.
[BibTeX]
[DOI]
Louis H. Kauffman
,
Pedro Lopes
Discret. Math. Theor. Comput. Sci., 2009

Virtual Logic: Cantor's Paradise and the Parable of Frozen Time.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2009

2008
Topological-Like Features in Diagrammatical Quantum Circuits.
[BibTeX]
[DOI]
Yong Zhang
,
Louis H. Kauffman
Quantum Inf. Process., 2008

Quantum knots and mosaics.
[BibTeX]
[DOI]
Samuel J. Lomonaco
,
Louis H. Kauffman
Quantum Inf. Process., 2008

Virtual Logic: The Berry Paradox and Chaitin's Theory of Algorithmic Complexity.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2008

On the minimum number of colors for knots.
[BibTeX]
[DOI]
Louis H. Kauffman
,
Pedro Lopes
Adv. Appl. Math., 2008

2007
Is Grover's Algorithm a Quantum Hidden Subgroup Algorithm?
[BibTeX]
[DOI]
Samuel J. Lomonaco Jr.
,
Louis H. Kauffman
Quantum Inf. Process., 2007

Virtual Logic - The Small Machine.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2007

Spin Networks, Quantum Topology and Quantum Computation.
[BibTeX]
[DOI]
Louis H. Kauffman
,
Samuel J. Lomonaco
Proceedings of the Logic, 2007

2006
Virtual Boundaries.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2006

2005
Yang-Baxterizations, Universal Quantum Gates and Hamiltonians.
[BibTeX]
[DOI]
Yong Zhang
,
Louis H. Kauffman
,
Mo-Lin Ge
Quantum Inf. Process., 2005

Reformulating the map color theorem.
[BibTeX]
[DOI]
Louis H. Kauffman
Discret. Math., 2005

Virtual Logic: The One and the Many.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2005

2004
Virtual Logic-Syllogisms.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2004

Virtual Logic: Fragments Of The Void - Selecta.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2004

On the classification of rational tangles.
[BibTeX]
[DOI]
Louis H. Kauffman
,
Sofia Lambropoulou
Adv. Appl. Math., 2004

2003
Temperely-Lieb Algebras and the Four-Color Theorem.
[BibTeX]
[DOI]
Louis H. Kauffman
,
Robin Thomas
Comb., 2003

Eigenforms - Objects as Tokens for Eigenbehaviors.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2003

Virtual Logic - Thoughts about Set Theory.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2003

2002
Laws of Form and Form Dynamics.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2002

2001
On the map theorem.
[BibTeX]
[DOI]
Louis H. Kauffman
Discret. Math., 2001

Virtual logic - The key to Frege.
[BibTeX]
[DOI]
Louis H. Kauffman
,
Christina Weiss
Cybern. Hum. Knowing, 2001

Peirce and Spencer-Brown: history and synergies in cybersemiotics.
[BibTeX]
[DOI]
Louis H. Kauffman
,
Søren Brier
Cybern. Hum. Knowing, 2001

Virtual logic - reasoning and playing with imaginary boolean values.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2001

On the cybernetics of fixed points.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2001

The mathematics of Charles Sanders Peirce.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2001

2000
Virtual logic - formal arithmetic.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2000

Virtual logic - infinitesimals and zero numbers.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 2000

1999
Virtual Knot Theory.
[BibTeX]
[DOI]
Louis H. Kauffman
Eur. J. Comb., 1999

Virtual logic - The MetaGame Paradox.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 1999

Virtual logic - The Flagg Resolution.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 1999

The Process Equation: Formulating and Testing the Process Theory of Systems.
[BibTeX]
[DOI]
Hector Sabelli
,
Louis H. Kauffman
Cybern. Syst., 1999

What Is a Number?
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Syst., 1999

1998
Virtual logic - The Smullyan Machine.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 1998

Virtual Logic - symbolic logic and the calculus of indications.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 1998

Virtual logic - self-reference and the calculus of indications.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 1998

Virtual logic - the calculus of indications.
[BibTeX]
[DOI]
Louis H. Kauffman
Cybern. Hum. Knowing, 1998

The Process Equation.
[BibTeX]
[DOI]
Louis H. Kauffman
,
Hector Sabelli
Cybern. Syst., 1998

1997
Physically-Based Stochastic Simplification of Mathematical Knots.
[BibTeX]
[DOI]
Robert P. Grzeszczuk
,
Milana Huang
,
Louis H. Kauffman
IEEE Trans. Vis. Comput. Graph., 1997

1996
Untangling Knots by Stochastic Energy Optimization.
[BibTeX]
[DOI]
Milana Huang
,
Robert P. Grzeszczuk
,
Louis H. Kauffman
Proceedings of the 7th IEEE Visualization Conference, 1996

1994
Visualizing quaternion rotation.
[BibTeX]
[DOI]
John C. Hart
,
George K. Francis
,
Louis H. Kauffman
ACM Trans. Graph., 1994

The Conway Polynomial in <i>R</i><sup>3</sup> and in Thickened Surfaces: A New Determinant Formulation.
[BibTeX]
[DOI]
François Jaeger
,
Louis H. Kauffman
,
Hubert Saleur
J. Comb. Theory B, 1994

Knot Automata.
[BibTeX]
[DOI]
Louis H. Kauffman
Proceedings of the 24th IEEE International Symposium on Multiple-Valued Logic, 1994

1993
Scientific and artistic investigation of multi-dimensional fractals on the AT&T Pixel Machine.
[BibTeX]
[DOI]
John C. Hart
,
Gordon W. Lescinsky
,
Daniel J. Sandin
,
Thomas A. DeFanti
,
Louis H. Kauffman
Vis. Comput., 1993

1992
Decomposition of the vertex group of 3-manifolds.
[BibTeX]
[DOI]
Louis H. Kauffman
,
Sóstenes Lins
Discret. Math., 1992

1990
Map coloring and the vector cross product.
[BibTeX]
[DOI]
Louis H. Kauffman
J. Comb. Theory B, 1990

Interactive Visualization of Quaternion Julia Sets.
[BibTeX]
[DOI]
John C. Hart
,
Louis H. Kauffman
,
Daniel J. Sandin
Proceedings of the 1st IEEE Visualization Conference, 1990

1989
A Tutte polynomial for signed graphs.
[BibTeX]
[DOI]
Louis H. Kauffman
Discret. Appl. Math., 1989

Ray tracing deterministic 3-D fractals.
[BibTeX]
[DOI]
John C. Hart
,
Daniel J. Sandin
,
Louis H. Kauffman
Proceedings of the 16th Annual Conference on Computer Graphics and Interactive Techniques, 1989

1978
De Morgan Algebras - completeness and recursion.
[BibTeX]
[DOI]
Louis H. Kauffman
Proceedings of the eighth international symposium on Multiple-valued logic, 1978


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