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## Boston, Nigel

Compute Distance To:
 Author ID: boston.nigel Published as: Boston, N.; Boston, Nigel External Links: MGP · Wikidata
 Documents Indexed: 65 Publications since 1984, including 5 Books
all top 5

#### Co-Authors

 24 single-authored 4 Barker, Nathan 4 Bennett, Michael A. 4 Berndt, Bruce Carl 4 Diamond, Harold George 4 Hildebrand, Adolf J. 4 Jones, Rafe 4 Philipp, Walter 3 Peyerimhoff, Norbert 3 Vdovina, Alina A. 2 Ellenberg, Jordan S. 2 Hao, Jing 2 Leedham-Green, Charles Richard 2 Ose, David T. 1 Barmish, Ross B. 1 Bush, Michael R. 1 Charles, Zachary B. 1 Clancy, Thomas Charles 1 Coates, John H. 1 Conti, David V. 1 Dabrowski, Walter 1 Fairbairn, Ben Thomas 1 Foguel, Tuval S. 1 Gies, Paul J. 1 Goksel, Vefa 1 Greenwood, Marshall L. 1 Grunewald, Fritz J. 1 Hajir, Farshid 1 Hong, Zhihong 1 Isaacs, I. Martin 1 Jackson, David A. 1 Leavitt, Judy 1 Lenstra, Hendrik W. jun. 1 Liow, Yuh-Tay 1 Liu, Ke 1 Markin, Nadya 1 Mazur, Barry 1 McGuire, Gary 1 Nan, Ting-Ting 1 Nover, Harris 1 Perry, David 1 Ribet, Kenneth Alan 1 Sayeed, Akbar M. 1 Ullom, Stephen V. 1 Walker, Judy L. 1 Webster, Jonathan 1 Wierer, Jay 1 Wood, Melanie Matchett 1 Xia, Shixiang
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#### Serials

 5 Journal of Algebra 3 American Mathematical Monthly 3 IEEE Transactions on Information Theory 3 Experimental Mathematics 2 Annales des Sciences Mathématiques du Québec 2 Journal of Number Theory 2 Proceedings of the American Mathematical Society 1 Communications in Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Kybernetika 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Journal of Symbolic Computation 1 IMRN. International Mathematics Research Notices 1 Journal of Global Optimization 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal de Théorie des Nombres de Bordeaux 1 ELA. The Electronic Journal of Linear Algebra 1 Geometry & Topology 1 Journal of VLSI Signal Processing Systems for Signal, Image, and Video Technology 1 Oberwolfach Reports 1 Pure and Applied Mathematics Quarterly 1 Journal of Generalized Lie Theory and Applications 1 Groups, Geometry, and Dynamics 1 Advances in Mathematics of Communications 1 SpringerBriefs in Computer Science
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#### Fields

 38 Number theory (11-XX) 21 Group theory and generalizations (20-XX) 12 Information and communication theory, circuits (94-XX) 10 Algebraic geometry (14-XX) 5 General and overarching topics; collections (00-XX) 3 Field theory and polynomials (12-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 2 Combinatorics (05-XX) 2 Geometry (51-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

47 Publications have been cited 269 times in 196 Documents Cited by Year
Explicit deformation of Galois representations. Zbl 0698.12012
Boston, Nigel
1991
Settled polynomials over finite fields. Zbl 1243.11115
Jones, Rafe; Boston, Nigel
2012
The proportion of fixed-point-free elements of a transitive permutation group. Zbl 0783.20002
Boston, Nigel; Dabrowski, Walter; Foguel, Tuval; Gies, Paul J.; Jackson, David A.; Leavitt, Judy; Ose, David T.
1993
The image of an arboreal Galois representation. Zbl 1167.11011
Boston, Nigel; Jones, Rafe
2009
Quotients of group rings arising from two-dimensional representations. Zbl 0718.16018
Boston, Nigel; Lenstra, Hendrik W. jun.; Ribet, Kenneth A.
1991
The weight distributions of cyclic codes with two zeros and zeta functions. Zbl 1191.94119
Boston, Nigel; McGuire, Gary
2010
A probabilistic generalization of the Riemann zeta function. Zbl 0853.11075
Boston, Nigel
1996
Some cases of the Fontaine-Mazur conjecture. II. Zbl 0928.11050
Boston, Nigel
1999
Heuristics for $$p$$-class towers of imaginary quadratic fields. Zbl 1420.11137
Boston, Nigel; Bush, Michael R.; Hajir, Farshid
2017
Explicit universal deformations of Galois representations. Zbl 0739.11021
Boston, N.; Mazur, B.
1989
Non-abelian Cohen-Lenstra heuristics over function fields. Zbl 1390.11093
Boston, Nigel; Wood, Melanie Matchett
2017
Some cases of the Fontaine-Mazur conjecture. Zbl 0768.11044
Boston, Nigel
1992
A note on Beauville $$p$$-groups. Zbl 1259.20016
Barker, Nathan; Boston, Nigel; Fairbairn, Ben
2012
Arboreal Galois representations. Zbl 1206.11069
Boston, Nigel; Jones, Rafe
2007
Explicit computation of Galois $$p$$-groups unramified at $$p$$. Zbl 1016.11051
Boston, Nigel; Leedham-Green, Charles
2002
An infinite family of 2-groups with mixed Beauville structures. Zbl 1342.20014
Barker, Nathan; Boston, Nigel; Peyerimhoff, Norbert; Vdovina, Alina
2015
Pro-$$p$$ groups and towers of rational homology spheres. Zbl 1108.57002
Boston, Nigel; Ellenberg, Jordan S.
2006
Families of Galois representations - increasing the ramification. Zbl 0768.11043
Boston, Nigel
1992
Computing pro-$$p$$ Galois groups. Zbl 1143.11369
Boston, Nigel; Nover, Harris
2006
Representations related to CM elliptic curves. Zbl 0795.14017
Boston, Nigel; Ullom, Stephen V.
1993
A refined conjecture for factorizations of iterates of quadratic polynomials over finite fields. Zbl 1418.11158
Goksel, Vefa; Xia, Shixiang; Boston, Nigel
2015
A survey of Beauville $$p$$-groups. Zbl 1318.20018
Boston, Nigel
2015
Galois groups of tamely ramified $$p$$-extensions. Zbl 1123.11038
Boston, Nigel
2007
Galois $$p$$-groups unramified at $$p$$ – a survey. Zbl 1188.11057
Boston, Nigel
2006
Maximal 2-extensions with restricted ramification. Zbl 0985.11055
Boston, Nigel; Perry, David
2000
Random pro-$$p$$ groups, braid groups, and random tame Galois groups. Zbl 1239.11126
Boston, Nigel; Ellenberg, Jordan S.
2011
The fewest primes ramified in a $$G$$-extension of $$\mathbb Q$$. Zbl 1219.11165
2009
Class numbers of $$p$$-groups of a given order. Zbl 1063.20020
Boston, Nigel; Isaacs, I. M.
2004
$$p$$-adic Galois representations and pro-$$p$$ Galois groups. Zbl 1006.11028
Boston, Nigel
2000
New examples of Beauville surfaces. Zbl 1271.14048
Barker, Nathan; Boston, Nigel; Peyerimhoff, Norbert; Vdovina, Alina
2012
Applications of algebra to communications, control, and signal processing. Zbl 1250.94001
Boston, Nigel
2012
Embedding 2-groups in groups generated by involutions. Zbl 1102.12002
Boston, Nigel
2006
Counterexamples to a conjecture of Lemmermeyer. Zbl 0922.11095
Boston, Nigel; Leedham-Green, Charles
1999
Deformations of Galois representations associated to the cusp form $$\Delta$$. Zbl 0723.11064
Boston, N.
1990
The weight distribution of quasi-quadratic residue codes. Zbl 1414.94932
Boston, Nigel; Hao, Jing
2018
A multivariate weight enumerator for tail-biting trellis pseudocodewords. Zbl 1371.94672
Boston, Nigel
2015
Regular algebraic surfaces, ramification structures and projective planes. Zbl 1315.14052
Barker, N.; Boston, N.; Peyerimhoff, N.; Vdovina, A.
2015
Large transitive groups with many elements having fixed points. Zbl 1213.20002
Boston, Nigel
2010
Spaces of constant rank matrices over $$GF(2)$$. Zbl 1189.15001
Boston, Nigel
2010
Random $$p$$-groups and Galois groups. Zbl 1188.11058
Boston, Nigel
2008
Reducing the Fontaine-Mazur conjecture to group theory. Zbl 1129.14039
Boston, Nigel
2005
Genus two hyperelliptic curve coprocessor. Zbl 1020.94513
Boston, N.; Clancy, T.; Liow, Y.; Webster, J.
2002
Number theory for the millennium I. Proceedings of the millennial conference on number theory, Urbana-Champaign, IL, USA, May 21–26, 2000. Zbl 1002.00005
Bennett, M. A. (ed.); Berndt, B. C. (ed.); Boston, N. (ed.); Diamond, H. G. (ed.); Hildebrand, A. J. (ed.); Philipp, W. (ed.)
2002
Bounding minimum distances of cyclic codes using algebraic geometry. Zbl 0985.94049
Boston, Nigel
2001
Characteristic $$p$$ Galois representations that arise from Drinfeld modules. Zbl 1015.11024
Boston, Nigel; Ose, David T.
2000
Boston, Nigel; Greenwood, Marshall L.
1995
A refinement of the Faltings-Serre method. Zbl 0840.11025
Boston, Nigel
1995
The weight distribution of quasi-quadratic residue codes. Zbl 1414.94932
Boston, Nigel; Hao, Jing
2018
Heuristics for $$p$$-class towers of imaginary quadratic fields. Zbl 1420.11137
Boston, Nigel; Bush, Michael R.; Hajir, Farshid
2017
Non-abelian Cohen-Lenstra heuristics over function fields. Zbl 1390.11093
Boston, Nigel; Wood, Melanie Matchett
2017
An infinite family of 2-groups with mixed Beauville structures. Zbl 1342.20014
Barker, Nathan; Boston, Nigel; Peyerimhoff, Norbert; Vdovina, Alina
2015
A refined conjecture for factorizations of iterates of quadratic polynomials over finite fields. Zbl 1418.11158
Goksel, Vefa; Xia, Shixiang; Boston, Nigel
2015
A survey of Beauville $$p$$-groups. Zbl 1318.20018
Boston, Nigel
2015
A multivariate weight enumerator for tail-biting trellis pseudocodewords. Zbl 1371.94672
Boston, Nigel
2015
Regular algebraic surfaces, ramification structures and projective planes. Zbl 1315.14052
Barker, N.; Boston, N.; Peyerimhoff, N.; Vdovina, A.
2015
Settled polynomials over finite fields. Zbl 1243.11115
Jones, Rafe; Boston, Nigel
2012
A note on Beauville $$p$$-groups. Zbl 1259.20016
Barker, Nathan; Boston, Nigel; Fairbairn, Ben
2012
New examples of Beauville surfaces. Zbl 1271.14048
Barker, Nathan; Boston, Nigel; Peyerimhoff, Norbert; Vdovina, Alina
2012
Applications of algebra to communications, control, and signal processing. Zbl 1250.94001
Boston, Nigel
2012
Random pro-$$p$$ groups, braid groups, and random tame Galois groups. Zbl 1239.11126
Boston, Nigel; Ellenberg, Jordan S.
2011
The weight distributions of cyclic codes with two zeros and zeta functions. Zbl 1191.94119
Boston, Nigel; McGuire, Gary
2010
Large transitive groups with many elements having fixed points. Zbl 1213.20002
Boston, Nigel
2010
Spaces of constant rank matrices over $$GF(2)$$. Zbl 1189.15001
Boston, Nigel
2010
The image of an arboreal Galois representation. Zbl 1167.11011
Boston, Nigel; Jones, Rafe
2009
The fewest primes ramified in a $$G$$-extension of $$\mathbb Q$$. Zbl 1219.11165
2009
Random $$p$$-groups and Galois groups. Zbl 1188.11058
Boston, Nigel
2008
Arboreal Galois representations. Zbl 1206.11069
Boston, Nigel; Jones, Rafe
2007
Galois groups of tamely ramified $$p$$-extensions. Zbl 1123.11038
Boston, Nigel
2007
Pro-$$p$$ groups and towers of rational homology spheres. Zbl 1108.57002
Boston, Nigel; Ellenberg, Jordan S.
2006
Computing pro-$$p$$ Galois groups. Zbl 1143.11369
Boston, Nigel; Nover, Harris
2006
Galois $$p$$-groups unramified at $$p$$ – a survey. Zbl 1188.11057
Boston, Nigel
2006
Embedding 2-groups in groups generated by involutions. Zbl 1102.12002
Boston, Nigel
2006
Reducing the Fontaine-Mazur conjecture to group theory. Zbl 1129.14039
Boston, Nigel
2005
Class numbers of $$p$$-groups of a given order. Zbl 1063.20020
Boston, Nigel; Isaacs, I. M.
2004
Explicit computation of Galois $$p$$-groups unramified at $$p$$. Zbl 1016.11051
Boston, Nigel; Leedham-Green, Charles
2002
Genus two hyperelliptic curve coprocessor. Zbl 1020.94513
Boston, N.; Clancy, T.; Liow, Y.; Webster, J.
2002
Number theory for the millennium I. Proceedings of the millennial conference on number theory, Urbana-Champaign, IL, USA, May 21–26, 2000. Zbl 1002.00005
Bennett, M. A. (ed.); Berndt, B. C. (ed.); Boston, N. (ed.); Diamond, H. G. (ed.); Hildebrand, A. J. (ed.); Philipp, W. (ed.)
2002
Bounding minimum distances of cyclic codes using algebraic geometry. Zbl 0985.94049
Boston, Nigel
2001
Maximal 2-extensions with restricted ramification. Zbl 0985.11055
Boston, Nigel; Perry, David
2000
$$p$$-adic Galois representations and pro-$$p$$ Galois groups. Zbl 1006.11028
Boston, Nigel
2000
Characteristic $$p$$ Galois representations that arise from Drinfeld modules. Zbl 1015.11024
Boston, Nigel; Ose, David T.
2000
Some cases of the Fontaine-Mazur conjecture. II. Zbl 0928.11050
Boston, Nigel
1999
Counterexamples to a conjecture of Lemmermeyer. Zbl 0922.11095
Boston, Nigel; Leedham-Green, Charles
1999
A probabilistic generalization of the Riemann zeta function. Zbl 0853.11075
Boston, Nigel
1996
Boston, Nigel; Greenwood, Marshall L.
1995
A refinement of the Faltings-Serre method. Zbl 0840.11025
Boston, Nigel
1995
The proportion of fixed-point-free elements of a transitive permutation group. Zbl 0783.20002
Boston, Nigel; Dabrowski, Walter; Foguel, Tuval; Gies, Paul J.; Jackson, David A.; Leavitt, Judy; Ose, David T.
1993
Representations related to CM elliptic curves. Zbl 0795.14017
Boston, Nigel; Ullom, Stephen V.
1993
Some cases of the Fontaine-Mazur conjecture. Zbl 0768.11044
Boston, Nigel
1992
Families of Galois representations - increasing the ramification. Zbl 0768.11043
Boston, Nigel
1992
Explicit deformation of Galois representations. Zbl 0698.12012
Boston, Nigel
1991
Quotients of group rings arising from two-dimensional representations. Zbl 0718.16018
Boston, Nigel; Lenstra, Hendrik W. jun.; Ribet, Kenneth A.
1991
Deformations of Galois representations associated to the cusp form $$\Delta$$. Zbl 0723.11064
Boston, N.
1990
Explicit universal deformations of Galois representations. Zbl 0739.11021
Boston, N.; Mazur, B.
1989
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#### Cited by 213 Authors

 16 Boston, Nigel 8 Guralnick, Robert Michael 8 Jones, Rafe 6 Fulman, Jason E. 5 Calegari, Frank 5 Gül, Şükran 5 Hindes, Wade 5 Wood, Melanie Matchett 5 Yue, Qin 4 Bleher, Frauke M. 4 Böckle, Gebhard 4 Bush, Michael R. 4 Chinburg, Ted 4 Ferraguti, Andrea 4 Hajir, Farshid 4 Khare, Chandrashekhar 4 Micheli, Giacomo 4 Patassini, Massimiliano 4 Spiga, Pablo 3 Emerton, Matthew 3 Goksel, Vefa 3 Li, Chengju 3 Li, Fengwei 3 Lucchini, Andrea 3 Maire, Christian 3 Mayer, Daniel C. 3 Mizusawa, Yasushi 3 Ramakrishna, Ravi 3 Tucker, Thomas John 2 Bary-Soroker, Lior 2 Benedetto, Robert L. 2 Bridy, Andrew 2 Cameron, Peter Jephson 2 Catanese, Fabrizio M. E. 2 Damian, Erika 2 Dunfield, Nathan M. 2 Dung, Duong Hoang 2 Fairbairn, Ben Thomas 2 Holden, Joshua Brandon 2 Ingram, Patrick 2 Juul, Jamie 2 Levy, Alon 2 Li, Nian 2 Liu, Fengmei 2 Longo, Matteo 2 Manes, Michelle 2 Mézard, Ariane 2 Neftin, Danny 2 Ohtani, Sachiko 2 Ostafe, Alina 2 Shareshian, John 2 Shparlinski, Igor E. 2 Walton, Laura 2 Xiong, Maosheng 2 Yamamoto, Kota 2 Zeng, Xiangyong 1 Abdollahi, Alireza 1 Abért, Miklós 1 Achter, Jeffrey D. 1 Ahmadi, Omran 1 Alberts, Brandon 1 Arezoomand, Majid 1 Aribam, Chandrakant S. 1 Azizi, Abdelmalek 1 Bardestani, Mohammad 1 Bartholdi, Laurent 1 Batina, Lejla 1 Bauer, Ingrid C. 1 Bellaïche, Joël 1 Berger, Laurent 1 Bernstein, Daniel Julius 1 Birkner, Peter 1 Brock, Jeffrey F. 1 Brown, Kenneth Stephen 1 Burness, Timothy C. 1 Buzzard, Kevin 1 Chang, Seunghwan 1 Chida, Masataka 1 Cocke, William J. 1 Coleman, Robert Frederick 1 Deo, Shaunak V. 1 Derhem, Aïssa 1 Detomi, Eloisa 1 DeWitt, Meghan 1 Diaconis, Persi Warren 1 Diamond, Fred 1 Ding, Cunsheng 1 Dinh, Hai Quang 1 Dress, François 1 Duan, Lian 1 Dumas, Jean-Guillaume 1 Edixhoven, Bas 1 Fan, Junfeng 1 Fernández-Alcober, Gustavo A. 1 Flach, Matthias 1 Froelich, Jennifer B. 1 Gavioli, Norberto 1 Gee, Toby 1 Geraghty, David 1 Giulietti, Massimo ...and 113 more Authors
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#### Cited in 73 Serials

 30 Journal of Number Theory 16 Journal of Algebra 8 Transactions of the American Mathematical Society 7 Inventiones Mathematicae 7 Journal de Théorie des Nombres de Bordeaux 6 Proceedings of the American Mathematical Society 5 Compositio Mathematica 5 Duke Mathematical Journal 5 Finite Fields and their Applications 4 Mathematische Annalen 4 Monatshefte für Mathematik 4 International Journal of Number Theory 3 Israel Journal of Mathematics 3 Advances in Mathematics 3 Annales de l’Institut Fourier 3 Mathematische Zeitschrift 3 Research in Number Theory 2 Communications in Algebra 2 Discrete Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Mathematics of Computation 2 Archiv der Mathematik 2 Manuscripta Mathematica 2 Proceedings of the Japan Academy. Series A 2 Rendiconti del Seminario Matematico della Università di Padova 2 European Journal of Combinatorics 2 Revista Matemática Iberoamericana 2 Designs, Codes and Cryptography 2 Bulletin of the American Mathematical Society. New Series 2 Experimental Mathematics 2 Journal of Algebraic Combinatorics 2 Geometry & Topology 2 Journal of Group Theory 2 Groups, Geometry, and Dynamics 2 Advances in Mathematics of Communications 2 International Journal of Group Theory 2 Annales Mathématiques du Québec 1 Rocky Mountain Journal of Mathematics 1 Acta Arithmetica 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Geometriae Dedicata 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series A 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Osaka Journal of Mathematics 1 Theoretical Computer Science 1 Chinese Annals of Mathematics. Series B 1 Graphs and Combinatorics 1 Journal of Symbolic Computation 1 Journal of the American Mathematical Society 1 International Journal of Algebra and Computation 1 Linear Algebra and its Applications 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Applicable Algebra in Engineering, Communication and Computing 1 Annals of Combinatorics 1 Annals of Mathematics. Second Series 1 LMS Journal of Computation and Mathematics 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 Journal of the Institute of Mathematics of Jussieu 1 Proceedings of the Steklov Institute of Mathematics 1 Japanese Journal of Mathematics. 3rd Series 1 Cryptography and Communications 1 Science China. Mathematics 1 Transactions on Combinatorics 1 Research in the Mathematical Sciences 1 Journal of Algebra, Combinatorics, Discrete Structures and Applications 1 Tunisian Journal of Mathematics
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#### Cited in 24 Fields

 146 Number theory (11-XX) 61 Group theory and generalizations (20-XX) 28 Algebraic geometry (14-XX) 24 Dynamical systems and ergodic theory (37-XX) 18 Information and communication theory, circuits (94-XX) 16 Field theory and polynomials (12-XX) 12 Combinatorics (05-XX) 5 Manifolds and cell complexes (57-XX) 4 Topological groups, Lie groups (22-XX) 3 Commutative algebra (13-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Category theory; homological algebra (18-XX) 3 Functions of a complex variable (30-XX) 3 Probability theory and stochastic processes (60-XX) 2 Associative rings and algebras (16-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Computer science (68-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 $$K$$-theory (19-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Systems theory; control (93-XX)

#### Wikidata Timeline

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