Publications (69)
Non-classicality and quandle difference invariants
Natasha Harrell, Sam Nelson
Quandles and Linking Number
Natasha Harrell, Sam Nelson
Biquasile Colorings of Oriented Surface-Links
Jieon Kim, Sam Nelson
Classification of Finite Alexander Quandles
Sam Nelson
On symplectic quandles
Esteban Adam Navas, Sam Nelson
Matrices and Finite Biquandles
Sam Nelson, John Vo
On rack polynomials
Tim Carrell, Sam Nelson
Quotient Quandles and the Fundamental Latin Alexander Quandle
Sam Nelson, Sherilyn Tamagawa
Rack Module Enhancements of Counting Invariants
Aaron Haas, Garret Heckel, Sam Nelson +2
Trace Diagrams and Biquandle Brackets
Sam Nelson, Natsumi Oyamaguchi
Quantum Enhancements and Biquandle Brackets
Sam Nelson, Michael E. Orrison, Veronica Rivera
Birack modules and their link invariants
Regina Bauernschmidt, Sam Nelson
A polynomial invariant of finite quandles
Sam Nelson
Biquasiles and Dual Graph Diagrams
Deanna Needell, Sam Nelson
Matrices and finite Alexander quandles
Gabriel Murillo, Sam Nelson, Anthony Thompson
Twisted Virtual Bikeigebras and Twisted Virtual Handlebody-Knots
Sam Nelson, Yuqi Zhao
Symbolic computation with finite biquandles
Conrad Creel, Sam Nelson
Link invariants from finite Coxeter racks
Sam Nelson, Ryan Wieghard
Birack Dynamical Cocycles and Homomorphism Invariants
Sam Nelson, Emily Watterberg
N-Degeneracy in rack homology and link invariants
Mohamed Elhamdadi, Sam Nelson
Rack shadows and their invariants
Wesley Chang, Sam Nelson
Local biquandles and Niebrzydowski's tribracket theory
Sam Nelson, Kanako Oshiro, Natsumi Oyamaguchi
Quantum Enhancements of Involutory Birack Counting Invariants
Sam Nelson, Veronica Rivera
Virtual Crossing Realization
Sam Nelson
Semiquandles and flat virtual knots
Allison Henrich, Sam Nelson
Matrices and Finite Quandles
Benita Ho, Sam Nelson
Unknotting virtual knots with Gauss diagram forbidden moves
Sam Nelson
Polynomial Birack Modules
Evan Cody, Sam Nelson
Virtual shadow modules and their link invariants
Jackson Blankstein, Susan Kim, Catherine Lepel +2
Virtual Tribrackets
Sam Nelson, Shane Pico
Niebrzydowski Algebras and Trivalent Spatial Graphs
Paige Graves, Sam Nelson, Sherilyn Tamagawa
Lie Ideal Enhancements of Counting Invariants
Gillian Roxanne Grindstaff, Sam Nelson
Polynomial knot and link invariants from the virtual biquandle
Alissa S. Crans, Allison Henrich, Sam Nelson
Kei modules and unoriented link invariants
Mike Grier, Sam Nelson
The Betti numbers of some finite racks
R. A. Litherland, Sam Nelson
Quandle Cocycle Quivers
Karina Cho, Sam Nelson
(t,s)-racks and their link invariants
Jessica Ceniceros, Sam Nelson
On Generalized Knot Groups
Xiao-Song Lin, Sam Nelson
Singular Knots and Involutive Quandles
Indu R. U. Churchill, M. Elhamdadi, M. Hajij +1
Parity Biquandle Invariants of Virtual Knots
Aaron Kaestner, Sam Nelson, Leo Selker
Bikei Invariants and Gauss Diagrams for Virtual Knotted Surfaces
Sam Nelson, Patricia Rivera
Symmetric Enhancements of Involutory Virtual Birack Counting Invariants
Melinda Ho, Sam Nelson
Bikei, Involutory Biracks and unoriented link invariants
Sinan Aksoy, Sam Nelson
Symbolic computation with finite quandles
Richard Henderson, Todd Macedo, Sam Nelson
Virtual Links with Finite Medial Bikei
Julien Chien, Sam Nelson
Hom Quandles
Alissa S. Crans, Sam Nelson
Alexander quandles of order 16
Gabriel Murillo, Sam Nelson
Bikei Homology
Sam Nelson, Jake Rosenfield
An isomorphism theorem for Alexander biquandles
Daisy Lam, Sam Nelson
On the Orbit Decomposition of Finite Quandles
Sam Nelson, Chau-Yim Wong
On bilinear biquandles
Sam Nelson, Jacquelyn L. Rische
The 2-generalized knot group determines the knot
Sam Nelson, Walter D. Neumann
Virtual Yang-Baxter cocycle invariants
Jose Ceniceros, Sam Nelson
Biquandle Coloring Invariants of Knotoids
Neslihan Gügümcü, Sam Nelson
Psyquandles, Singular Knots and Pseudoknots
Sam Nelson, Natsumi Oyamaguchi, Radmila Sazdanovic
Finite Type Enhancements
Sam Nelson
Birack shadow modules and their link invariants
Sam Nelson, Katie Pelland
Link invariants from finite racks
Sam Nelson
Twisted virtual biracks and their twisted virtual link invariants
Jessica Ceniceros, Sam Nelson
Quandle Coloring Quivers
Karina Cho, Sam Nelson
Signed ordered knotlike quandle presentations
Sam Nelson
Quasi-trivial Quandles and Biquandles, Cocycle Enhancements and Link-Homotopy of Pretzel links
Mohamed Elhamdadi, Minghui Liu, Sam Nelson
Augmented Biracks and their Homology
Jose Ceniceros, Mohamed Elhamdadi, Matthew Green +1
Multi-tribrackets
Sam Nelson, Evan Pauletich
Partially Multiplicative Biquandles and Handlebody-Knots
Atsushi Ishii, Sam Nelson
The column group and its link invariants
Johanna Hennig, Sam Nelson
Enhancements of the rack counting invariant via N-reduced dynamical cocycles
Alissa S. Crans, Sam Nelson, Aparna Sarkar
Link invariants from finite biracks
Sam Nelson
Boltzmann Enhancements of Biquasile Counting Invariants
WonHyuk Choi, Deanna Needell, Sam Nelson