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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

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

    Portugal

  • 12 Citations
  • 2 h-Index
20182019

Research output per year

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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

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Research Output at NOVA

  • 12 Citations
  • 2 h-Index
  • 2 Conference contribution
  • 1 Article

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

Open Access
File

    • Two applications of monoid actions to cross-sections

    Brough, T., 13 Nov 2019, (Accepted/In press) In : Communications in Algebra.

    Research output: Contribution to journal › Article

    • 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

    • 2 Citations (Scopus)