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Nelson, Sam

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Author ID: nelson.sam Recent zbMATH articles by "Nelson, Sam"
Published as: Nelson, Sam; Nelson, S.
Documents Indexed: 87 Publications since 1979, including 3 Books
Reviewing Activity: 80 Reviews

Publications by Year

Citations contained in zbMATH Open

69 Publications have been cited 465 times in 268 Documents Cited by Year
Quandles. An introduction to the algebra of knots. Zbl 1332.57007
Elhamdadi, Mohamed; Nelson, Sam
69
2015
The Betti numbers of some finite racks. Zbl 1017.55014
Litherland, R. A.; Nelson, Sam
44
2003
Unknotting virtual knots with Gauss diagram forbidden moves. Zbl 0997.57016
Nelson, Sam
37
2001
The combinatorial revolution in knot theory. Zbl 1247.57004
Nelson, Sam
20
2011
Matrices and finite quandles. Zbl 1102.57008
Ho, Benita; Nelson, Sam
19
2005
On the orbit decomposition of finite quandles. Zbl 1105.57006
Nelson, Sam; Wong, Chau-Yim
17
2006
Matrices and finite biquandles. Zbl 1111.57009
Nelson, Sam; Vo, John
13
2006
Virtual Yang-Baxter cocycle invariants. Zbl 1182.57006
Ceniceros, Jose; Nelson, Sam
12
2009
Biquasiles and dual graph diagrams. Zbl 1372.57030
Needell, Deanna; Nelson, Sam
12
2017
Classification of finite Alexander quandles. Zbl 1066.57019
Nelson, Sam
11
2003
Augmented biracks and their homology. Zbl 1306.57010
Ceniceros, Jose; Elhamdadi, Mohamed; Green, Matthew; Nelson, Sam
11
2014
Quantum enhancements and biquandle brackets. Zbl 1396.57023
Nelson, Sam; Orrison, Michael E.; Rivera, Veronica
10
2017
Symbolic computation with finite quandles. Zbl 1125.68141
Henderson, Richard; Macedo, Todd; Nelson, Sam
9
2006
Singular knots and involutive quandles. Zbl 1427.57005
Churchill, Indu R. U.; Elhamdadi, Mohamed; Hajij, Mustafa; Nelson, Sam
8
2017
Biquasile colorings of oriented surface-links. Zbl 1383.57031
Kim, Jieon; Nelson, Sam
7
2018
Local biquandles and Niebrzydowski’s tribracket theory. Zbl 1415.57007
Nelson, Sam; Oshiro, Kanako; Oyamaguchi, Natsumi
7
2019
The 2-generalized knot group determines the knot. Zbl 1176.57012
Nelson, Sam; Neumann, Walter D.
6
2008
Trace diagrams and biquandle brackets. Zbl 1422.57040
Nelson, S.; Oyamaguchi, N.
6
2017
Boltzmann enhancements of biquasile counting invariants. Zbl 1411.57023
Choi, Wonhyuk; Needell, Deanna; Nelson, Sam
6
2018
A polynomial invariant of finite quandles. Zbl 1152.57015
Nelson, Sam
5
2008
Polynomial knot and link invariants from the virtual biquandle. Zbl 1270.57040
Crans, Alissa S.; Henrich, Allison; Nelson, Sam
5
2013
Partially multiplicative biquandles and handlebody-knots. Zbl 1387.57026
Ishii, Atsushi; Nelson, Sam
5
2017
Rack shadows and their invariants. Zbl 1238.57015
Chang, Wesley; Nelson, Sam
5
2011
Rack module enhancements of counting invariants. Zbl 1245.57009
Haas, Aaron; Heckel, Garret; Nelson, Sam; Yuen, Jonah; Zhang, Qingcheng
4
2012
Semiquandles and flat virtual knots. Zbl 1207.57014
Henrich, Allison; Nelson, Sam
4
2010
Matrices and finite Alexander quandles. Zbl 1152.57014
Murillo, Gabriel; Nelson, Sam; Thompson, Anthony
4
2007
On symplectic quandles. Zbl 1168.57011
Navas, Esteban Adam; Nelson, Sam
4
2008
On generalized knot groups. Zbl 1156.57008
Lin, Xiao-Song; Nelson, Sam
4
2008
Analytic properties of cosine operators. Zbl 0412.47023
Nelson, S.; Triggiani, R.
4
1979
Birack modules and their link invariants. Zbl 1290.57018
Bauernschmidt, Regina; Nelson, Sam
4
2013
Quantum enhancements of involutory birack counting invariants. Zbl 1315.57020
Nelson, Sam; Rivera, Veronica
4
2014
Link invariants from finite racks. Zbl 1297.57018
Nelson, Sam
4
2014
Hom quandles. Zbl 1295.57007
Crans, Alissa S.; Nelson, Sam
4
2014
Symbolic computation with finite biquandles. Zbl 1139.57010
Creel, Conrad; Nelson, Sam
4
2007
Bikei, involutory biracks and unoriented link invariants. Zbl 1248.57008
Aksoy, Sinan; Nelson, Sam
4
2012
Quandle coloring quivers. Zbl 1420.57032
Cho, Karina; Nelson, Sam
4
2019
Biquandle coloring invariants of knotoids. Zbl 1428.57004
Gügümcü, Neslihan; Nelson, Sam
4
2019
Quandles and linking number. Zbl 1158.57014
Harrell, Natasha; Nelson, Sam
3
2007
Parity biquandle invariants of virtual knots. Zbl 1355.57011
Kaestner, Aaron; Nelson, Sam; Selker, Leo
3
2016
Birack dynamical cocycles and homomorphism invariants. Zbl 1310.57017
Nelson, Sam; Watterberg, Emily
3
2013
Birack shadow modules and their link invariants. Zbl 1317.57011
Nelson, Sam; Pelland, Katie
3
2013
Link invariants from finite biracks. Zbl 1288.57009
Nelson, Sam
3
2014
Quasi-trivial quandles and biquandles, cocycle enhancements and link-homotopy of pretzel links. Zbl 06966581
Elhamdadi, Mohamed; Liu, Minghui; Nelson, Sam
3
2018
On bilinear biquandles. Zbl 1186.57011
Nelson, Sam; Rische, Jacquelyn L.
3
2008
Niebrzydowski algebras and trivalent spatial graphs. Zbl 1406.57010
Graves, Paige; Nelson, Sam; Tamagawa, Sherilyn
3
2018
Virtual tribrackets. Zbl 1426.57029
Nelson, Sam; Pico, Shane
3
2019
Generalized quandle polynomials. Zbl 1257.57019
Nelson, Sam
2
2011
Erratum: Alexander quandles of order 16. Zbl 1176.57011
Murillo, Gabriel; Nelson, Sam
2
2009
An isomorphism theorem for Alexander biquandles. Zbl 1420.57039
Lam, Daisy; Nelson, Sam
2
2009
Bikei homology. Zbl 1387.57014
Nelson, Sam; Rosenfield, Jake
2
2017
Bikei invariants and Gauss diagrams for virtual knotted surfaces. Zbl 1345.57024
Nelson, Sam; Rivera, Patricia
2
2016
What is …a quandle? Zbl 1338.57001
Nelson, Sam
2
2016
Quotient quandles and the fundamental Latin Alexander quandle. Zbl 1355.57014
Nelson, Sam; Tamagawa, Sherilyn
2
2016
Virtual crossing realization. Zbl 1085.57007
Nelson, Sam
2
2005
\(N\)-degeneracy in rack homology and link invariants. Zbl 1310.57022
Elhamdadi, Mohamed; Nelson, Sam
2
2012
Polynomial birack modules. Zbl 1298.57008
Cody, Evan; Nelson, Sam
2
2014
Psyquandles, singular knots and pseudoknots. Zbl 1452.57010
Nelson, Sam; Oyamaguchi, Natsumi; Sazdanovic, Radmila
2
2019
The column group and its link invariants. Zbl 1244.57025
Hennig, Johanna; Nelson, Sam
2
2012
\((t, s)\)-racks and their link invariants. Zbl 1251.57013
Ceniceros, Jessica; Nelson, Sam
2
2012
Quandle cocycle quivers. Zbl 07127251
Cho, Karina; Nelson, Sam
2
2019
Biquandle virtual brackets. Zbl 1436.57014
Nelson, Sam; Oshiro, Kanako; Shimizu, Ayaka; Yaguchi, Yoshiro
2
2019
Virtual shadow modules and their link invariants. Zbl 1252.57006
Blankstein, Jackson; Kim, Susan; Lepel, Catherine; Nelson, Sam; Sanderson, Nicole
1
2012
Enhancements of rack counting invariants via dynamical cocycles. Zbl 1257.57015
Crans, Alissa S.; Nelson, Sam; Sarkar, Aparna
1
2012
Alexander quandles of order 16. Zbl 1420.57040
Murillo, Gabriel; Nelson, Sam
1
2008
Signed ordered knotlike quandle presentations. Zbl 1085.57006
Nelson, Sam
1
2005
Kei modules and unoriented link invariants. Zbl 1310.57024
Grier, Michael; Nelson, Sam
1
2014
Lie ideal enhancements of counting invariants. Zbl 1357.57035
Grindstaff, Gillian Roxanne; Nelson, Sam
1
2016
Link invariants from finite Coxeter racks. Zbl 1238.57012
Nelson, Sam; Wieghard, Ryan
1
2011
A survey of quantum enhancements. Zbl 1423.57016
Nelson, Sam
1
2019
Local biquandles and Niebrzydowski’s tribracket theory. Zbl 1415.57007
Nelson, Sam; Oshiro, Kanako; Oyamaguchi, Natsumi
7
2019
Quandle coloring quivers. Zbl 1420.57032
Cho, Karina; Nelson, Sam
4
2019
Biquandle coloring invariants of knotoids. Zbl 1428.57004
Gügümcü, Neslihan; Nelson, Sam
4
2019
Virtual tribrackets. Zbl 1426.57029
Nelson, Sam; Pico, Shane
3
2019
Psyquandles, singular knots and pseudoknots. Zbl 1452.57010
Nelson, Sam; Oyamaguchi, Natsumi; Sazdanovic, Radmila
2
2019
Quandle cocycle quivers. Zbl 07127251
Cho, Karina; Nelson, Sam
2
2019
Biquandle virtual brackets. Zbl 1436.57014
Nelson, Sam; Oshiro, Kanako; Shimizu, Ayaka; Yaguchi, Yoshiro
2
2019
A survey of quantum enhancements. Zbl 1423.57016
Nelson, Sam
1
2019
Biquasile colorings of oriented surface-links. Zbl 1383.57031
Kim, Jieon; Nelson, Sam
7
2018
Boltzmann enhancements of biquasile counting invariants. Zbl 1411.57023
Choi, Wonhyuk; Needell, Deanna; Nelson, Sam
6
2018
Quasi-trivial quandles and biquandles, cocycle enhancements and link-homotopy of pretzel links. Zbl 06966581
Elhamdadi, Mohamed; Liu, Minghui; Nelson, Sam
3
2018
Niebrzydowski algebras and trivalent spatial graphs. Zbl 1406.57010
Graves, Paige; Nelson, Sam; Tamagawa, Sherilyn
3
2018
Biquasiles and dual graph diagrams. Zbl 1372.57030
Needell, Deanna; Nelson, Sam
12
2017
Quantum enhancements and biquandle brackets. Zbl 1396.57023
Nelson, Sam; Orrison, Michael E.; Rivera, Veronica
10
2017
Singular knots and involutive quandles. Zbl 1427.57005
Churchill, Indu R. U.; Elhamdadi, Mohamed; Hajij, Mustafa; Nelson, Sam
8
2017
Trace diagrams and biquandle brackets. Zbl 1422.57040
Nelson, S.; Oyamaguchi, N.
6
2017
Partially multiplicative biquandles and handlebody-knots. Zbl 1387.57026
Ishii, Atsushi; Nelson, Sam
5
2017
Bikei homology. Zbl 1387.57014
Nelson, Sam; Rosenfield, Jake
2
2017
Parity biquandle invariants of virtual knots. Zbl 1355.57011
Kaestner, Aaron; Nelson, Sam; Selker, Leo
3
2016
Bikei invariants and Gauss diagrams for virtual knotted surfaces. Zbl 1345.57024
Nelson, Sam; Rivera, Patricia
2
2016
What is …a quandle? Zbl 1338.57001
Nelson, Sam
2
2016
Quotient quandles and the fundamental Latin Alexander quandle. Zbl 1355.57014
Nelson, Sam; Tamagawa, Sherilyn
2
2016
Lie ideal enhancements of counting invariants. Zbl 1357.57035
Grindstaff, Gillian Roxanne; Nelson, Sam
1
2016
Quandles. An introduction to the algebra of knots. Zbl 1332.57007
Elhamdadi, Mohamed; Nelson, Sam
69
2015
Augmented biracks and their homology. Zbl 1306.57010
Ceniceros, Jose; Elhamdadi, Mohamed; Green, Matthew; Nelson, Sam
11
2014
Quantum enhancements of involutory birack counting invariants. Zbl 1315.57020
Nelson, Sam; Rivera, Veronica
4
2014
Link invariants from finite racks. Zbl 1297.57018
Nelson, Sam
4
2014
Hom quandles. Zbl 1295.57007
Crans, Alissa S.; Nelson, Sam
4
2014
Link invariants from finite biracks. Zbl 1288.57009
Nelson, Sam
3
2014
Polynomial birack modules. Zbl 1298.57008
Cody, Evan; Nelson, Sam
2
2014
Kei modules and unoriented link invariants. Zbl 1310.57024
Grier, Michael; Nelson, Sam
1
2014
Polynomial knot and link invariants from the virtual biquandle. Zbl 1270.57040
Crans, Alissa S.; Henrich, Allison; Nelson, Sam
5
2013
Birack modules and their link invariants. Zbl 1290.57018
Bauernschmidt, Regina; Nelson, Sam
4
2013
Birack dynamical cocycles and homomorphism invariants. Zbl 1310.57017
Nelson, Sam; Watterberg, Emily
3
2013
Birack shadow modules and their link invariants. Zbl 1317.57011
Nelson, Sam; Pelland, Katie
3
2013
Rack module enhancements of counting invariants. Zbl 1245.57009
Haas, Aaron; Heckel, Garret; Nelson, Sam; Yuen, Jonah; Zhang, Qingcheng
4
2012
Bikei, involutory biracks and unoriented link invariants. Zbl 1248.57008
Aksoy, Sinan; Nelson, Sam
4
2012
\(N\)-degeneracy in rack homology and link invariants. Zbl 1310.57022
Elhamdadi, Mohamed; Nelson, Sam
2
2012
The column group and its link invariants. Zbl 1244.57025
Hennig, Johanna; Nelson, Sam
2
2012
\((t, s)\)-racks and their link invariants. Zbl 1251.57013
Ceniceros, Jessica; Nelson, Sam
2
2012
Virtual shadow modules and their link invariants. Zbl 1252.57006
Blankstein, Jackson; Kim, Susan; Lepel, Catherine; Nelson, Sam; Sanderson, Nicole
1
2012
Enhancements of rack counting invariants via dynamical cocycles. Zbl 1257.57015
Crans, Alissa S.; Nelson, Sam; Sarkar, Aparna
1
2012
The combinatorial revolution in knot theory. Zbl 1247.57004
Nelson, Sam
20
2011
Rack shadows and their invariants. Zbl 1238.57015
Chang, Wesley; Nelson, Sam
5
2011
Generalized quandle polynomials. Zbl 1257.57019
Nelson, Sam
2
2011
Link invariants from finite Coxeter racks. Zbl 1238.57012
Nelson, Sam; Wieghard, Ryan
1
2011
Semiquandles and flat virtual knots. Zbl 1207.57014
Henrich, Allison; Nelson, Sam
4
2010
Virtual Yang-Baxter cocycle invariants. Zbl 1182.57006
Ceniceros, Jose; Nelson, Sam
12
2009
Erratum: Alexander quandles of order 16. Zbl 1176.57011
Murillo, Gabriel; Nelson, Sam
2
2009
An isomorphism theorem for Alexander biquandles. Zbl 1420.57039
Lam, Daisy; Nelson, Sam
2
2009
The 2-generalized knot group determines the knot. Zbl 1176.57012
Nelson, Sam; Neumann, Walter D.
6
2008
A polynomial invariant of finite quandles. Zbl 1152.57015
Nelson, Sam
5
2008
On symplectic quandles. Zbl 1168.57011
Navas, Esteban Adam; Nelson, Sam
4
2008
On generalized knot groups. Zbl 1156.57008
Lin, Xiao-Song; Nelson, Sam
4
2008
On bilinear biquandles. Zbl 1186.57011
Nelson, Sam; Rische, Jacquelyn L.
3
2008
Alexander quandles of order 16. Zbl 1420.57040
Murillo, Gabriel; Nelson, Sam
1
2008
Matrices and finite Alexander quandles. Zbl 1152.57014
Murillo, Gabriel; Nelson, Sam; Thompson, Anthony
4
2007
Symbolic computation with finite biquandles. Zbl 1139.57010
Creel, Conrad; Nelson, Sam
4
2007
Quandles and linking number. Zbl 1158.57014
Harrell, Natasha; Nelson, Sam
3
2007
On the orbit decomposition of finite quandles. Zbl 1105.57006
Nelson, Sam; Wong, Chau-Yim
17
2006
Matrices and finite biquandles. Zbl 1111.57009
Nelson, Sam; Vo, John
13
2006
Symbolic computation with finite quandles. Zbl 1125.68141
Henderson, Richard; Macedo, Todd; Nelson, Sam
9
2006
Matrices and finite quandles. Zbl 1102.57008
Ho, Benita; Nelson, Sam
19
2005
Virtual crossing realization. Zbl 1085.57007
Nelson, Sam
2
2005
Signed ordered knotlike quandle presentations. Zbl 1085.57006
Nelson, Sam
1
2005
The Betti numbers of some finite racks. Zbl 1017.55014
Litherland, R. A.; Nelson, Sam
44
2003
Classification of finite Alexander quandles. Zbl 1066.57019
Nelson, Sam
11
2003
Unknotting virtual knots with Gauss diagram forbidden moves. Zbl 0997.57016
Nelson, Sam
37
2001
Analytic properties of cosine operators. Zbl 0412.47023
Nelson, S.; Triggiani, R.
4
1979
all top 5

Cited by 265 Authors

52 Nelson, Sam
24 Elhamdadi, Mohamed
11 Lebed, Victoria
11 Przytycki, Józef H.
10 Bardakov, Valeriĭ Georgievich
9 Oshiro, Kanako
9 Pilitowska, Agata
9 Zamojska-Dzienio, Anna
8 Jedlička, Přemysl
7 Kauffman, Louis Hirsch
7 Niebrzydowski, Maciej
7 Saito, Masahico
7 Vendramin, Leandro
6 Bae, Yongju
6 Bonatto, Marco
6 Cheng, Zhiyun
6 Churchill, Indu R. U.
6 Kamada, Seiichi
6 Nosaka, Takefumi
6 Singh, Mahender
6 Stanovský, David
5 Ceniceros, Jose
5 Crans, Alissa S.
5 Vojtěchovský, Petr
4 Hajij, Mustafa
4 Horvat, Eva
4 Ishikawa, Katsumi
4 Kim, Jieon
4 Lambropoulou, Sofia S. F.
4 Manturov, Vassiliĭ Olegovich
4 Nasybullov, Timur Rinatovich
4 Oyamaguchi, Natsumi
4 Satoh, Shin
4 Yasuhara, Akira
3 Boden, Hans U.
3 Carter, J. Scott
3 Gao, Hongzhu
3 Gügümcü, Neslihan
3 Jeong, Myeong-Ju
3 Kanenobu, Taizo
3 Miyazawa, Haruko Aida
3 Mukherjee, Sujoy
3 Murao, Tomo
3 Nakanishi, Yasutaka
3 Needell, Deanna
3 Sakurai, Migiwa
3 Wada, Kodai
3 Yang, Seung Yeop
3 Zappala, Emanuele
2 Bataineh, Khaled
2 Brooke-Taylor, Andrew D.
2 Cho, Karina
2 Choi, Seonmi
2 Chrisman, Micah Whitney
2 Clark, W. Edwin
2 Dehornoy, Patrick
2 Farinati, Marco Andrés
2 Fenn, Roger A.
2 Fernando, Neranga
2 García Galofre, Juliana
2 Gaudreau, Robin
2 Hayashi, Chuichiro
2 Hou, Xiang-Dong
2 Il’yutko, Denis Petrovich
2 Inoue, Ayumu
2 Ishii, Atsushi
2 Kim, Byeorhi
2 Kim, Seongjeong
2 Korablev, Philipp Glebovich
2 Makhlouf, Abdenacer
2 Mashaghi, Alireza
2 Mikhalchishina, Yuliya A.
2 Miller, Sheila K.
2 Mochizuki, Takuro
2 Moutuou, El-Kaïoum M.
2 Nakamura, Takuji
2 Putyra, Krzysztof K.
2 Rivera, Patricia
2 Sazdanović, Radmila
2 Singh, Manpreet
2 Szymik, Markus
2 Tanaka, Kokoro
2 Tuffley, Christopher P.
2 Whitney, Glen Thomas
2 Winter, Blake Karl
1 Abchir, Hamid
1 Abid, Fatima-Ezzahrae
1 Adams, Colin C.
1 Adeniran, John Olusola
1 Aggarwal, Laira
1 Aksoy, Sinan G.
1 Al Fran, Howida A.
1 Andruskiewitsch, Nicolás
1 Bachiller, David
1 Bakshi, Rhea Palak
1 Bartholomew, Andrew
1 Bauernschmidt, Regina
1 Bellingeri, Paolo
1 Blanchet, Christian
1 Blankstein, Jackson
...and 165 more Authors
all top 5

Cited in 55 Serials

96 Journal of Knot Theory and its Ramifications
26 Topology and its Applications
12 Journal of Pure and Applied Algebra
11 Journal of Algebra
10 Journal of Algebra and its Applications
9 International Journal of Mathematics
7 Communications in Algebra
7 Transactions of the American Mathematical Society
4 Fundamenta Mathematicae
4 Journal of the Mathematical Society of Japan
4 Monatshefte für Mathematik
4 Osaka Journal of Mathematics
4 Algebraic & Geometric Topology
3 Mathematics of Computation
3 Kyungpook Mathematical Journal
3 Proceedings of the American Mathematical Society
3 Journal of Symbolic Computation
2 Advances in Mathematics
2 Algebra Universalis
2 Mathematische Zeitschrift
2 Pacific Journal of Mathematics
2 Siberian Mathematical Journal
2 European Journal of Combinatorics
2 International Journal of Algebra and Computation
2 Journal of Mathematical Chemistry
2 Mediterranean Journal of Mathematics
2 Proceedings of the Steklov Institute of Mathematics
2 Journal of Homotopy and Related Structures
2 Open Mathematics
1 Israel Journal of Mathematics
1 Journal of Mathematical Physics
1 Canadian Journal of Mathematics
1 Demonstratio Mathematica
1 Geometriae Dedicata
1 Hiroshima Mathematical Journal
1 Journal of Combinatorial Theory. Series A
1 Journal of the Korean Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Tokyo Journal of Mathematics
1 Bulletin of the Korean Mathematical Society
1 Order
1 Linear Algebra and its Applications
1 Archive for Mathematical Logic
1 Russian Mathematics
1 Experimental Mathematics
1 Journal of Mathematical Sciences (New York)
1 Selecta Mathematica. New Series
1 Communications in Contemporary Mathematics
1 Journal of the Australian Mathematical Society
1 International Journal of Quantum Information
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Ars Mathematica Contemporanea
1 Mathematics for Applications
1 European Journal of Mathematics
1 Journal of Combinatorial Algebra

Citations by Year