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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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  • 1 Similar Profiles
Inverse Semigroup Mathematics
Groupoids Mathematics
Groupoid Mathematics
Monoid Mathematics
HNN Extension Mathematics
Semigroup Mathematics
Group Presentation Mathematics
Monoids Mathematics

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Research Output 1993 2017

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
Inverse Semigroup
Closed
Graph in graph theory
Conjugacy
Coset

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
Inverse Semigroup
Finitely Generated
Subgroup
Coset
Closed

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
Crossed Module
Oriented Graph
Knot Group
Schur multiplier
Braid Group

Ordered groupoid quotients and congruences on inverse semigroups

Alyamani, N. A. & Gilbert, N. D., 2 Aug 2017, In : Semigroup Forum. p. 1-17 17 p.

Research output: Contribution to journalArticle

Open Access
File
Inverse Semigroup
Groupoid
Congruence
Quotient
Quotient Map

Fibrations of ordered groupoids and the factorization of ordered functors

AlYamani, N., Gilbert, N. D. & Miller, E. C., Apr 2016, In : Applied Categorical Structures. 24, 2, p. 121-146 26 p.

Research output: Contribution to journalArticle

Open Access
File
Groupoids
Fibration
Factorization
Functor
Stars

Activities 2014 2014

  • 1 Editorial activity

Asian-European Journal of Mathematics (Journal)

Nick Gilbert (Editor)
6 Jan 2014

Activity: Publication peer-review and editorial workEditorial activity