Nigel P. Byott

595 total citations
42 papers, 332 citations indexed

About

Nigel P. Byott is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Nigel P. Byott has authored 42 papers receiving a total of 332 indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Geometry and Topology, 25 papers in Algebra and Number Theory and 12 papers in Mathematical Physics. Recurrent topics in Nigel P. Byott's work include Algebraic Geometry and Number Theory (26 papers), Commutative Algebra and Its Applications (15 papers) and Algebraic structures and combinatorial models (12 papers). Nigel P. Byott is often cited by papers focused on Algebraic Geometry and Number Theory (26 papers), Commutative Algebra and Its Applications (15 papers) and Algebraic structures and combinatorial models (12 papers). Nigel P. Byott collaborates with scholars based in United Kingdom, United States and France. Nigel P. Byott's co-authors include Günter Lettl, Lindsay N. Childs, Cornélius Greither, Robin Chapman, Marcello Trovati, Mark Holland, Peter Ashwin, Yiwei Zhang and Congping Lin and has published in prestigious journals such as Bulletin of the London Mathematical Society, Proceedings of the American Mathematical Society and Journal of Algebra.

In The Last Decade

Nigel P. Byott

40 papers receiving 284 citations

Peers

Nigel P. Byott

GT

ANT

MP

DMC

CTM

Humio Ichimura Japan

Edward Dobrowolski Canada

A S Merkur'ev United States

Matthew A. Papanikolas United States

Kurt Girstmair Austria

Bas Edixhoven Netherlands

B. Heinrich Matzat Germany

Detlev W. Hoffmann Germany

W. Sinnott United States

Manfred Kolster Canada

Humio Ichimura Japan

Nigel P. Byott

338 ×1.1

GT

191 ×1.3

ANT

116 ×0.8

MP

78 ×1.1

DMC

40 ×0.9

CTM

Citations per year, relative to Nigel P. Byott Nigel P. Byott (= 1×) peers Humio Ichimura

Countries citing papers authored by Nigel P. Byott

Since Specialization

Citations

This map shows the geographic impact of Nigel P. Byott's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Nigel P. Byott with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Nigel P. Byott more than expected).

Fields of papers citing papers by Nigel P. Byott

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Nigel P. Byott. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Nigel P. Byott. The network helps show where Nigel P. Byott may publish in the future.

Co-authorship network of co-authors of Nigel P. Byott

This figure shows the co-authorship network connecting the top 25 collaborators of Nigel P. Byott. A scholar is included among the top collaborators of Nigel P. Byott based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Nigel P. Byott. Nigel P. Byott is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Byott, Nigel P., et al.. (2017). Counting Hopf–Galois structures on cyclic field extensions of squarefree degree. Journal of Algebra. 493. 1–19. 8 indexed citations

2.

Byott, Nigel P., et al.. (2017). Sufficient conditions for large Galois scaffolds. Journal of Number Theory. 182. 95–130. 3 indexed citations

3.

Byott, Nigel P., et al.. (2014). Integral Galois module structure for elementary abelian extensions with a Galois scaffold. Proceedings of the American Mathematical Society. 142(11). 3705–3712. 1 indexed citations

4.

Byott, Nigel P.. (2013). Nilpotent and abelian Hopf–Galois structures on field extensions. Journal of Algebra. 381. 131–139. 6 indexed citations

5.

Byott, Nigel P., et al.. (2013). Galois scaffolds and Galois module structure in extensions of characteristic p local fields of degree p2. Journal of Number Theory. 133(11). 3598–3610. 4 indexed citations

6.

Byott, Nigel P., et al.. (2008). On the necessity of new ramification breaks. Journal of Number Theory. 129(1). 84–101. 2 indexed citations

7.

Byott, Nigel P., et al.. (2008). New ramification breaks and additive Galois structure. Journal de Théorie des Nombres de Bordeaux. 17(1). 87–107. 6 indexed citations

8.

Byott, Nigel P.. (2007). Hopf–Galois structures on almost cyclic field extensions of 2-power degree. Journal of Algebra. 318(1). 351–371. 9 indexed citations

9.

Byott, Nigel P., et al.. (2005). Galois module structure for dihedral extensions of degree 8: Realizable classes over the group ring. Journal of Number Theory. 112(1). 1–19. 12 indexed citations

10.

Byott, Nigel P.. (2003). Monogenic Hopf orders and associated orders of valuation rings. Journal of Algebra. 275(2). 575–599. 5 indexed citations

11.

Byott, Nigel P.. (2003). HOPF–GALOIS STRUCTURES ON FIELD EXTENSIONS WITH SIMPLE GALOIS GROUPS. Bulletin of the London Mathematical Society. 36(1). 23–29. 22 indexed citations

12.

Byott, Nigel P.. (2003). Hopf–Galois structures on Galois field extensions of degree pq. Journal of Pure and Applied Algebra. 188(1-3). 45–57. 29 indexed citations

13.

Byott, Nigel P.. (2002). Integral Hopf–Galois Structures on Degree p2 Extensions of p-adic Fields. Journal of Algebra. 248(1). 334–365. 14 indexed citations

14.

Byott, Nigel P.. (2002). GALOIS THEORIES (Cambridge Studies in Advanced Mathematics 72). Bulletin of the London Mathematical Society. 34(3). 376–378. 3 indexed citations

15.

Byott, Nigel P.. (1999). Integral Galois Module Structure of Some Lubin–Tate Extensions. Journal of Number Theory. 77(2). 252–273. 10 indexed citations

16.

Byott, Nigel P. & Robin Chapman. (1999). Power Sums over Finite Subspaces of a Field. Finite Fields and Their Applications. 5(3). 254–265. 4 indexed citations

17.

Byott, Nigel P.. (1998). Tame Realisable Classes over Hopf Orders. Journal of Algebra. 201(1). 284–316. 4 indexed citations

18.

Byott, Nigel P.. (1997). Associated orders of certain extensions arising from Lubin-Tate formal groups. Journal de Théorie des Nombres de Bordeaux. 9(2). 449–462. 3 indexed citations

19.

Byott, Nigel P.. (1995). Hopf Orders and a Generalization of a Theorem of L. R. McCulloh. Journal of Algebra. 177(2). 409–433. 3 indexed citations

20.

Byott, Nigel P.. (1993). Cleft Extensions of Hopf Algebras. Journal of Algebra. 157(2). 405–429. 12 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact