Józef H. Przytycki

Józef H. Przytycki's AcademicInfluence.com Rankings

Józef H. Przytycki

Mathematics

#2617

World Rank

#4008

Historical Rank

Measure Theory

#2047

World Rank

#2481

Historical Rank

mathematics Degrees

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Mathematics

Józef H. Przytycki's Degrees

PhD Mathematics University of Warsaw

Why Is Józef H. Przytycki Influential?

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According to Wikipedia, Józef Henryk Przytycki , is a Polish mathematician specializing in the fields of knot theory and topology. Academic background Przytycki received a Master of Science degree in mathematics from University of Warsaw in 1977 and a PhD in mathematics from Columbia University advised by Joan Birman. Przytycki then returned to Poland, where he became an assistant professor at the University of Warsaw. From 1986 to 1995 he held visiting positions at the University of British Columbia, the University of Toronto, Michigan State University, the Institute for Advanced Study in Princeton, New Jersey, the University of California, Riverside, Odense University, and the University of California, Berkeley.

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Józef H. Przytycki's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Invariants of links of Conway type (1988) (316)
On skein algebras and Sl2(C)-character varieties (1997) (202)
Fundamentals of Kauffman bracket skein modules (1998) (138)
Categorification of the Kauffman bracket skein module of I-bundles over surfaces (2004) (137)
3-coloring and other elementary invariants of knots (2006) (109)
MULTIPLICATIVE STRUCTURE OF KAUFFMAN BRACKET SKEIN MODULE QUANTIZATIONS (1999) (99)
Skein Modules of 3-Manifolds (2006) (96)
Conway algebras and skein equivalence of links (1987) (94)
THE (2, ∞)-SKEIN MODULE OF LENS SPACES: A GENERALIZATION OF THE JONES POLYNOMIAL (1993) (87)
A survey of skein modules of 3-manifolds (1992) (66)
Khovanov Homology: Torsion and Thickness (2004) (62)
Encyclopaedia of Mathematics, Supplement III (2002) (59)
The Kauffman bracket skein module ofS1×S2 (1995) (57)
Polygon Dissections and Euler, Fuss, Kirkman, and Cayley Numbers (1998) (56)
On Murasugi's and Traczyk's criteria for periodic links (1989) (55)
Journal of Knot Theory and its Ramifications: Introduction (2011) (51)
Distributivity versus associativity in the homology theory of algebraic structures (2011) (51)
An index of a graph with applications to knot theory (1993) (47)
Homology of dihedral quandles (2006) (46)
Knot polynomials and generalized mutation (1989) (44)
An invariant of dichromatic links (1989) (42)
Incompressibility of surfaces after Dehn surgery. (1983) (41)
The skein polynomial of a planar star product of two links (1989) (40)
Incompressible surfaces in the exterior of a closed 3-braid (1985) (39)
Lissajous knots and billiard knots (1998) (39)
When the theories meet: Khovanov homology as Hochschild homology of links (2005) (39)
Skein module of links in a handlebody (1992) (35)
Skein algebras of surfaces (2016) (34)
Burnside obstructions to the Montesinos–Nakanishi 3–move conjecture (2002) (32)
Skein algebra of a group (1998) (31)
Surgeries on periodic links and homology of periodic 3-manifolds (2000) (30)
Unexpected connections between Burnside groups and knot theory. (2003) (29)
Distributive Products and Their Homology (2011) (29)
Almost positive links have negative signature (2009) (28)
The quandle of the trefoil knot as the Dehn quandle of the torus (2008) (28)
Torsion in graph homology (2005) (28)
Positive knots have negative signature (2009) (27)
Knots and distributive homology: from arc colorings to Yang-Baxter homology (2014) (27)
Topological steps toward the Homflypt skein module of the lens spaces $L(p,1)$ via braids (2016) (26)
Homology operations on homology of quandles (2009) (26)
Modeling information flow in biological networks (2011) (26)
The fourth Skein Module and the Montesinos-Nakanishi Conjecture for 3-algebraic links (2000) (25)
Torsion in Khovanov homology of semi-adequate links (2012) (25)
On the first group of the chromatic cohomology of graphs (2006) (25)
KAUFFMAN-HARARY CONJECTURE HOLDS FOR MONTESINOS KNOTS (2003) (24)
3-manifold invariants and periodicity of homology spheres (1998) (24)
Equivalence of Cables Of Mutants of Knots (1989) (23)
From Goeritz Matrices to Quasi-alternating Links (2009) (23)
Kauffman bracket skein module of a connected sum of 3-manifolds (1999) (22)
t_k-moves on links (2006) (21)
Symmetry of Links and Classification of Lens Spaces (2000) (21)
Non-Left-Orderable 3-Manifold Groups (2003) (21)
Compactness of the space of left orders (2006) (20)
KNOTS From combinatorics of knot diagrams to combinatorial topology based on knots (1984) (19)
Hyperbolic structures on Dehn filling of some punctured-torus bundles over S1 (1987) (18)
Search for Torsion in Khovanov Homology (2017) (17)
The second quandle homology of the Takasaki quandle of an odd abelian group is an exterior square of the group (2010) (16)
From 3-moves to Lagrangian Tangles and Cubic Skein Modules (2004) (16)
Classical roots of knot theory (1998) (15)
Elementary conjectures in classical knot theory (1993) (15)
Cocycle invariants of codimension 2-embeddings of manifolds (2013) (13)
A categorification of the skein module of tangles (2004) (13)
The torsion of a finite quasigroup quandle is annihilated by its order (2014) (13)
3-manifolds, tangles and persistent invariants (2004) (13)
THE (2, ∞)-SKEIN MODULE OF WHITEHEAD MANIFOLDS (1995) (12)
Skein module deformations of elementary moves on links (2003) (12)
The Gram determinant of the type B Temperley-Lieb algebra (2008) (11)
Search for different links with the same Jones' type polynomials: Ideas from graph theory and statistical mechanics (2004) (11)
Burnside kei (2005) (11)
Three talks in Cuautitlan under the general title: Topología algebraica basada sobre nudos (2001) (11)
Torsion in one-term distributive homology (2013) (11)
Equivalence of two definitions of set-theoretic Yang–Baxter homology and general Yang–Baxter homology (2016) (10)
Homotopy and q-homotopy skein modules of 3-manifolds: an example in Algebra Situs (2004) (10)
Knot theory from Vandermonde to Jones (2007) (10)
Symmetric knots and billiard knots (2004) (9)
The degenerate distributive complex is degenerate (2014) (9)
Homotopy type of circle graph complexes motivated by extreme Khovanov homology (2016) (9)
The Topological Interpretation of the Core Group of a Surface in S 4 (2002) (9)
The Kanenobu-Miyazawa conjecture and the Vassiliev-Gusarov skein modules based on mixed crossings (2001) (8)
History of Knot Theory (2007) (8)
Incompressible surfaces in 3-manifolds (1981) (8)
An elementary proof of the Traczyk-Yokota criteria for periodic knots (1995) (8)
Catalan States of Lattice Crossing (2014) (8)
The t3, moves conjecture for oriented links with matched diagrams (1990) (8)
Linking numbers in rational homology 3-spheres, cyclic branched covers and infinite cyclic covers (2001) (7)
Plans' Theorem for Links: an Application of tk Moves (1988) (7)
Khovanov homology of links in I-bundles over surfaces (2004) (7)
Realization of plucking polynomials (2017) (6)
The Trieste look at Knot Theory (2011) (6)
The Gram matrix of a Temperley-Lieb algebra is similar to the matrix of chromatic joins (2008) (6)
Tangle Surgeries Which Preserve Jones-Type Polynomials (1997) (6)
Actions of $Z_n$ on some surface-bundles over $S^1$ (1982) (5)
The Interrelations of the Development of Mathematical Topology in Japan, Poland and USA : Notes on the Early History of the Knot Theory in Japan (2002) (5)
q-Polynomial Invariant of Rooted Trees (2015) (5)
Nonorientable, incomprenssible surfaces of genus 3 in M_φ (λ / μ) manifolds (1983) (5)
Topological insights from the Chinese Rings (2000) (5)
A simple construction of high representativity triangulations (1993) (5)
The first coefficient of Homflypt and Kauffman polynomials: Vertigan proof of polynomial complexity using dynamic programming (2017) (5)
On a Lower Bound for Short Noncontractible Cycles in Embedded Graphs (1990) (5)
MULTIPLICATIVE STRUCTURE OF KAUFFMAN BRACKET SKEIN MODULE (1999) (5)
Catalan states of lattice crossing: An application of plucking polynomial (2017) (4)
On homology of associative shelves (2016) (4)
On multiplying curves in the Kauffman bracket skein algebra of the thickened four-holed sphere (2018) (4)
On Slavik Jablan's work on 4-moves (2015) (4)
Entropic magmas, their homology, and related invariants of links and graphs (2012) (4)
Introductory lectures on knot theory: selected lectures presented at the advanced school and conference on knot theory and its applications to physics and biology (2011) (4)
Kauffman bracket skein module of the connected sum of handlebodies: a counterexample (2020) (4)
Geometric realization of the almost-extreme Khovanov homology of semiadequate links (2018) (3)
Strict unimodality of q-polynomials of rooted trees (2016) (3)
Cyclic actions on $S^2$- and $P^2$-bundles over $S^1$ (1982) (3)
Schur multipliers and second quandle homology (2018) (3)
A note on the Lickorish-Millett-Turaev formula for the Kauffman polynomial (1994) (3)
Strict unimodality of plucking polynomials of rooted trees (2018) (3)
Surface triangulations without short noncontractible cycles (1991) (3)
Annihilation of torsion in homology of finite $m$-AQ quandles (2015) (3)
On the rack homology of graphic quandles (2017) (3)
Knots and graphs: two centuries of interaction (2016) (3)
Subexponentially computable truncations of Jones-types polynomials (1991) (2)
Signature of rotors (2004) (2)
A generalization of the Gram determinant of type A (2019) (2)
The second Yang–Baxter homology for the HOMFLYPT polynomial (2020) (2)
Survey on recent invariants on classical knot theory (2008) (2)
Set-theoretic Yang-Baxter (co)homology theory of involutive non-degenerate solutions (2019) (2)
Conway type invariants of links and Kauffman's method (2012) (2)
Rooted trees with the same plucking polynomial (2017) (2)
Graphs and links (2006) (2)
Progress in distributive homology: from q-polynomial of rooted trees to Yang-Baxter homology (2014) (2)
INCOMPRESSIBILITY OF SURFACES WITH FOUR BOUNDARY COMPONENTS AFTER DEHN SURGERY (1984) (2)
Branched Covers of Tangles in Three-balls (2001) (2)
Homology of distributive lattices (2011) (1)
ESTIMATING THE SIZE OF SKEIN HOMOLOGIES (2000) (1)
In Memoriam: Slavik Jablan 1952-2015 (2015) (1)
RATIONAL MOVES ON LINKS: (2, 2)-MOVES AS A CASE STUDY (2010) (1)
Invariants in Low-Dimensional Topology (2008) (1)
The Gram determinant for plane curves (2010) (1)
Erratum to: Kauffman bracket skein module of a connected sum of 3-manifolds (2021) (1)
Knot Theory: from Fox 3-colorings of links to Yang-Baxter homology and Khovanov homology (2016) (1)
Notes to the early history of the Knot Theory in Japan (2001) (0)
Ju l 2 00 0 Topological Insights from the Chinese Rings (2008) (0)
Ju n 20 06 t k moves on links (0)
Inductive construction of 2-connected graphs for calculating the virial coefficients (2009) (0)
On homology of associative shelves (2016) (0)
On framings of knots in 3-manifolds (2020) (0)
$Z_n$-actions on 3-manifolds (1982) (0)
Laver ’ s results and low-dimensional topology (2018) (0)
Khovanov Homology: categorification of the Kauffman bracket relation (2005) (0)
Forty years in mathematics: Personal perspective (Part I) (2022) (0)
Index To Volume 48 (1966) (0)
Erratum to: Kauffman bracket skein module of a connected sum of 3-manifolds (2021) (0)
Three talks in Trieste Fox coloring, Burnside groups, skein modules, Khovanov categorification of skein modules (2009) (0)
Homotopy type of circle graph complexes motivated by extreme Khovanov homology (2017) (0)
N ov 2 00 1 Topological Insights from the Chinese Rings (2008) (0)
Burnside groups in Knot Theory; Part 1: Solution to the Montesinos-Nakanishi 3-move conjecture (2002) (0)
q-Polynomial Invariant of Rooted Trees (2016) (0)
Ordered Structures and Computability Ordered Structures and Computability Dedication (2009) (0)
Nonorientable, incompressible surfaces in punctured-torus bundles over $$S^1$$S1 (2018) (0)
G T ] 1 1 M ay 2 00 4 Non-left-orderable 3-manifold groups (2008) (0)
I Is a Quantization. 4. If We Modify the Multiplication of Links in F I (0)
Geometric realization of the almost-extreme Khovanov homology of semiadequate links (2019) (0)
G T ] 1 0 Fe b 20 03 Non-left-orderable 3-manifold groups (2008) (0)
Ja n 20 05 Rational moves and tangle embeddings : ( 2 , 2 )-moves as a case study Tokyo , January 29 , 2005 (2022) (0)
Knots in Poland III (2014) (0)
1 Talk 1: Open problems in knot theory that everyone can try to solve. (2001) (0)
On framings of links in 3-manifolds (2020) (0)
HOMOTOPY TYPE OF CIRCLE GRAPHS COMPLEXES MOTIVATED BY EXTREME KHOVANOV HOMOLOGY JOZEF H. PRZYTYCKI AND MARITHANIA SILVERO (2016) (0)
A ug 2 00 6 3-coloring and other elementary invariants of knots 1 (2006) (0)
Greek National Funds through the Operational Program " Education and Lifelong Learning " of the National Strategic Reference Framework (nsrf) -research Funding Program: Thales: Reinforcement of the Interdisciplinary And/or Inter- Institutional Research and Innovation (0)
The degenerate distributive complex is degenerate (2016) (0)
Homology of distributive lattices (2012) (0)
Symplectic structure on colorings, Lagrangian tangles and Tits buildings (2020) (0)
1 2 Ju l 2 00 5 Torsion in Graph Homology (0)
Gram determinant of planar curves (2008) (0)
The Generalized Kauffman-Harary Conjecture is True (2023) (0)
Shrinking Lattice Curves: 10846 (2002) (0)
Kauffman bracket skein module of the connected sum of handlebodies: a counterexample (2021) (0)

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