1993 …2020

Research output per year

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Personal profile

Research interests

My research began in the area that used to be called combinatorial group theory, and I have retained a strong interest in the study of algebraic structures using discrete and combinatorial techniques, and in the development of connections with low-dimensional topology and homological algebra. My research has encompassed work on free products and other colimits of groups, fundamental groups of graphs of groups, non-abelian methods in homotopy theory homology of groups ordered groupoids inverse and regular semigroups the algebra of tilings

Biography

I began my research career as a postgraduate student at Queen Mary College in London. After a number of postdoctoral positions around the UK I came to Heriot-Watt as a lecturer in 1995 and was promoted to Senior Lecturer in 2001, and to Professor in 2014. My research work is in algebra, influenced by connections with topology and with category theory. I am an enthusiastic teacher, and my teaching skills were recognised by a Graduates Teaching Award in 2010.

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Research Output

The algebra of rewriting for presentations of inverse monoids

Gilbert, N. D. & McDougall, E. A., 2 Jul 2020, In : Communications in Algebra. 48, 7, p. 2920-2940 21 p.

Research output: Contribution to journalArticle

File
  • 8 Downloads (Pure)

    The homology of principally directed ordered groupoids

    Bainson, B. O. & Gilbert, N. D., 2020, In : Homology, Homotopy and Applications. 22, 2, p. 163 – 172 10 p.

    Research output: Contribution to journalArticle

    Open Access
    File
  • Closed inverse subsemigroups of graph inverse semigroups

    Alali, A. S. & Gilbert, N., 2 Nov 2017, In : Communications in Algebra. 45, 11, p. 4667-4678 12 p.

    Research output: Contribution to journalArticle

    Open Access
    File
  • 5 Citations (Scopus)
    32 Downloads (Pure)

    Inverse subsemigroups of finite index in finitely generated inverse semigroups

    Alali, A. S. & Gilbert, N., 5 Jul 2017, In : Semigroup Forum. p. 1-17 17 p.

    Research output: Contribution to journalArticle

    Open Access
    File
  • 16 Downloads (Pure)

    Labelled oriented graph groups and crossed modules

    Gilbert, N. D., Apr 2017, In : Archiv der Mathematik. 108, 4, p. 365–371 7 p.

    Research output: Contribution to journalArticle

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

    Activities

    • 1 Editorial activity

    Asian-European Journal of Mathematics (Journal)

    Nick Gilbert (Editor)
    6 Jan 2014

    Activity: Publication peer-review and editorial workEditorial activity