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Tara Brough

CMA Research Group - Algebra and Logic, Integrated member (PhD)

 https://orcid.org/0000-0002-3576-0670

  • Centro de Matemática e Aplicações Faculdade de Ciências e Tecnologia Universidade Nova de Lisboa 2829-516 Caparica

    Portugal

  • Source: Scopus
  • Calculated based on no. of publications stored in Pure and citations from Scopus
20182020

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Personal profile

Research interests

My main interest, and the subject of my current FCT grant project, is automata and languages in algebra, particularly in group and semigroup theory.  I study languages arising in algebra, such as word problems, cross-sections (normal forms) and multiplication tables.  I also do research on automaton semigroups, primarily from a semigroup constructions perspective.

Other interests: geometric and combinatorial group theory; modular Lie algebras; computational algebra.

Education/Academic qualification

Mathematics, Doctorate, University of Warwick

Award Date: 18 Apr 2011

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  • 16 Citations
  • 2 h-Index
  • 2 Conference contribution
  • 2 Article

  • A language hierarchy of binary relations

    Brough, T. & Cain, A. J., Dec 2020, In: Information and Computation. 275, 104607.

    Research output: Contribution to journal › Article › peer-review

  • Two applications of monoid actions to cross-sections

    Brough, T., Cain, A. J. & Maltcev, V., 3 May 2020, In: Communications in Algebra. 48, 5, p. 1894-1903 10 p.

    Research output: Contribution to journal › Article › peer-review

    1 Citation (Scopus)

  • Context-free word problem semigroups

    Brough, T., Cain, A. J. & Pfeiffer, M., 2019, Developments in Language Theory - 23rd International Conference, DLT 2019, Proceedings. Hofman, P. & Skrzypczak, M. (eds.). Cham: Springer, p. 292-305 14 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 11647 LNCS).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

    Open Access
    File
    1 Citation (Scopus)
    7 Downloads (Pure)

  • Word problem languages for free inverse monoids

    Brough, T., 1 Jan 2018, Descriptional Complexity of Formal Systems - 20th IFIP WG 1.02 International Conference, DCFS 2018, Proceedings. Konstantinidis, S. & Pighizzini, G. (eds.). Cham: Springer Verlag, p. 24-36 13 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 10952 LNCS).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

    3 Citations (Scopus)
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