| Publication | Date of Publication | Type |
|---|
| Fundamental heaps for surface ribbons and cocycle invariants | 2024-03-22 | Paper |
| Yang-Baxter Solutions from Categorical Augmented Racks | 2023-12-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q6079208 | 2023-10-27 | Paper |
| DNA origami words, graphical structures and their rewriting systems | 2023-09-08 | Paper |
| Extensions of augmented racks and surface ribbon cocycle invariants | 2023-06-13 | Paper |
| Fundamental heap for framed links and ribbon cocycle invariants | 2023-06-12 | Paper |
| Betti Numbers of Prodsimplicial Complexes for Directed Graphs with Applications to Word Reductions | 2023-05-09 | Paper |
| Braided Frobenius algebras from certain Hopf algebras | 2023-01-02 | Paper |
| Skein theoretic approach to Yang-Baxter homology | 2021-09-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5000899 | 2021-07-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5000900 | 2021-07-15 | Paper |
| Higher arity self-distributive operations in Cascades and their cohomology | 2021-07-01 | Paper |
| Heap and ternary self-distributive cohomology | 2021-06-14 | Paper |
| Symbol Separation in Double Occurrence Words | 2021-04-19 | Paper |
| Braided Frobenius Algebras from certain Hopf Algebras | 2021-02-18 | Paper |
| RNA-guided DNA assembly | 2020-11-11 | Paper |
| Insertions Yielding Equivalent Double Occurrence Words | 2020-06-21 | Paper |
| Graph based analysis for gene segment organization in a scrambled genome | 2020-05-14 | Paper |
| Algebraic systems motivated by DNA origami | 2020-04-29 | Paper |
| Algebraic and computational aspects of quandle 2-cocycle invariant | 2019-10-17 | Paper |
| DNA origami words and rewriting systems | 2019-10-10 | Paper |
| Continuous cohomology of topological quandles | 2019-05-31 | Paper |
| Graphs Associated With DNA Rearrangements and Their Polynomials | 2019-03-11 | Paper |
| Algebraic Systems for DNA Origami Motivated from Temperley-Lieb Algebras | 2019-01-25 | Paper |
| Longitudinal mapping knot invariant for SU(2) | 2018-10-26 | Paper |
| Twist regions and coefficients stability of the colored Jones polynomial | 2018-04-23 | Paper |
| Quandle identities and homology | 2018-04-13 | Paper |
| Patterns and Distances in Words Related to DNA Rearrangement | 2018-01-19 | Paper |
| The palette numbers of 2-bridge knots | 2017-08-17 | Paper |
| Computations of quandle 2-cocycle knot invariants without explicit 2-cocycles | 2017-06-29 | Paper |
| The 6- and 8-palette numbers of links | 2017-05-02 | Paper |
| Algebraic properties of quandle extensions and values of cocycle knot invariants | 2017-01-12 | Paper |
| Recurring patterns among scrambled genes in the encrypted genome of the ciliate \textit{Oxytricha trifallax} | 2016-11-08 | Paper |
| Quandle coloring and cocycle invariants of composite knots and abelian extensions | 2016-05-11 | Paper |
| Genus ranges of 4-regular rigid vertex graphs | 2015-11-02 | Paper |
| Genus Ranges of Chord Diagrams | 2015-06-15 | Paper |
| Quandle colorings of knots and applications | 2014-10-15 | Paper |
| Four-regular graphs with rigid vertices associated to DNA recombination | 2014-04-16 | Paper |
| Connected quandles associated with pointed abelian groups | 2013-09-02 | Paper |
| Rewriting rule chains modeling DNA rearrangement pathways | 2012-10-11 | Paper |
| Algebraic structures derived from foams | 2011-03-07 | Paper |
| THE MINIMUM NUMBER OF FOX COLORS AND QUANDLE COCYCLE INVARIANTS | 2011-01-13 | Paper |
| DNA Rearrangements through Spatial Graphs | 2010-07-29 | Paper |
| DNA recombination through assembly graphs | 2010-04-28 | Paper |
| Symmetric extensions of dihedral quandles and triple points of non-orientable surfaces | 2010-03-09 | Paper |
| Cohomology of categorical self-distributivity | 2010-02-17 | Paper |
| VIRTUAL KNOT INVARIANTS FROM GROUP BIQUANDLES AND THEIR COCYCLES | 2009-09-28 | Paper |
| Tangle Embeddings and Quandle Cocycle Invariants | 2009-07-28 | Paper |
| Frobenius Modules and Essential Surface Cobordisms | 2009-05-27 | Paper |
| POLYNOMIAL COCYCLES OF ALEXANDER QUANDLES AND APPLICATIONS | 2009-05-19 | Paper |
| COHOMOLOGY OF FROBENIUS ALGEBRAS AND THE YANG-BAXTER EQUATION | 2009-03-02 | Paper |
| Cohomology of the adjoint of Hopf algebras. | 2009-01-20 | Paper |
| Cocycle Deformations of Algebraic Identities and R-matrices | 2008-02-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5426713 | 2007-11-13 | Paper |
| Sampling large random knots in a confined space | 2007-10-19 | Paper |
| Linking of uniform random polygons in confined spaces | 2007-03-16 | Paper |
| SET-THEORETIC YANG–BAXTER SOLUTIONS VIA FOX CALCULUS | 2007-02-08 | Paper |
| A lower bound for the number of Reidemeister moves of type III | 2006-09-13 | Paper |
| Ribbon concordance of surface-knots via quandle cocycle invariants | 2006-05-19 | Paper |
| Ribbon-moves for 2-knots with 1-handles attached and Khovanov-Jacobsson numbers | 2006-05-17 | Paper |
| Developments in Language Theory | 2005-12-22 | Paper |
| THE SPUN TREFOIL NEEDS FOUR BROKEN SHEETS | 2005-12-15 | Paper |
| Cocycle knot invariants from quandle modules and generalized quandle homology | 2005-11-21 | Paper |
| Homology theory for the set-theoretic Yang–Baxter equation and knot invariants from generalizations of quandles | 2005-04-20 | Paper |
| Surfaces in 4-space | 2004-12-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4737636 | 2004-08-11 | Paper |
| Quantum Invariants of Templates | 2004-07-12 | Paper |
| Extensions of Quandles and Cocycle Knot Invariants | 2004-07-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4459926 | 2004-05-18 | Paper |
| Generalizations of Quandle Cocycle Invariants and Alexander Modules from Quandle Modules | 2004-01-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4419462 | 2003-08-13 | Paper |
| Quandle cohomology and state-sum invariants of knotted curves and surfaces | 2003-07-28 | Paper |
| Bordism of unoriented surfaces in 4-space | 2003-06-30 | Paper |
| Singularities of the projections of surfaces in 4-space. | 2003-02-12 | Paper |
| STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS | 2002-08-28 | Paper |
| GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY | 2002-07-30 | Paper |
| SHIFTING HOMOMORPHISMS IN QUANDLE COHOMOLOGY AND SKEINS OF COCYCLE KNOT INVARIANTS | 2002-07-30 | Paper |
| Cocycle Knot Invariants, Quandle Extensions, and Alexander Matrices | 2002-04-10 | Paper |
| Twisted quandle homology theory and cocycle knot invariants | 2002-03-04 | Paper |
| ON FORMULATIONS AND SOLUTIONS OF SIMPLEX EQUATIONS | 2002-02-26 | Paper |
| Quandle homology groups, their Betti numbers, and virtual knots | 2002-01-17 | Paper |
| Computations of quandle cocycle invariants of knotted curves and surfaces | 2001-09-16 | Paper |
| A theorem of Sanderson on link bordisms in dimension \(4\) | 2001-06-18 | Paper |
| Alexander numbering of knotted surface diagrams | 2000-10-03 | Paper |
| Triple Linking of Surfaces in 4-Space | 2000-07-24 | Paper |
| State-sum invariants of knotted curves and surfaces from quandle cohomology | 2000-06-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4227257 | 2000-03-13 | Paper |
| Structures and diagrammatics of four dimensional topological lattice field theories | 1999-12-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4263675 | 1999-09-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4244968 | 1999-05-31 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3840288 | 1999-04-11 | Paper |
| BRAIDS AND MOVIES | 1998-05-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4375394 | 1998-02-05 | Paper |
| On Finiteness of Certain Vassiliev Invariants | 1998-02-01 | Paper |
| A combinatorial description of knotted surfaces and their isotopies | 1997-08-28 | Paper |
| A Seifert algorithm for knotted surfaces | 1997-06-15 | Paper |
| Normal Euler classes of knotted surfaces and triple points on projections | 1997-02-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4865493 | 1996-02-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4858982 | 1995-12-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4856526 | 1995-11-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4325450 | 1995-03-23 | Paper |
| REIDEMEISTER MOVES FOR SURFACE ISOTOPIES AND THEIR INTERPRETATION AS MOVES TO MOVIES | 1994-01-19 | Paper |
| ON THE UNORIENTED SATO-LEVINE INVARIANT | 1994-01-19 | Paper |
| Canceling Branch Points on Projections of Surfaces in 4-Space | 1993-01-17 | Paper |
| PLANAR GENERALIZATIONS OF THE YANG-BAXTER EQUATION AND THEIR SKEINS | 1993-01-16 | Paper |
| Syzygies among elementary string interactions in 2+1 dimensions | 1992-06-28 | Paper |
| On Closed Orbits of Morse-Smale Flows on 3-Manifolds | 1992-06-28 | Paper |
| A Note on Cobordism of Surface Links in S 4 | 1991-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3715890 | 1983-01-01 | Paper |