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Personal profile

Research interests

My research interests centre on semigroup theory, automata theory and category theory. I am currently working on the connections between partial symmetries, topological groupoids and C*-algebras. These diverse topics are linked by a non-commutative generalization of Stone duality.


I was an undergraduate and graduate student at York University with a one year spell at Sidney Sussex College, Cambridge where I read the Part III in mathematics. After my DPhil, I spent three years at Lincoln College Oxford as a JRF followed by a year at the T.H. Darmstadt supported by the Royal Society. I was subsequently lecturer and then senior lecturer in mathematics at CPGC before moving to Heriot-Watt in 2004.

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Monoids Mathematics
Inverse Semigroup Mathematics
Thompson's Group Mathematics
Groupoids Mathematics
Duality Mathematics
Monoid Mathematics
Semigroup Theory Mathematics
Correspondence Mathematics

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Research Output 2006 2019

A tribute to John B. Fountain

Gould, V. A. R. & Lawson, M. V., Aug 2019, In : Semigroup Forum. 99, 1, p. 1-8 8 p.

Research output: Contribution to journalArticle

Open Access
Semigroup Theory

The Booleanization of an inverse semigroup

Lawson, M., 8 Oct 2019, (Accepted/In press) In : Semigroup Forum.

Research output: Contribution to journalArticle

The universal Boolean inverse semigroup presented by the abstract Cuntz-Krieger relations

Lawson, M. & Vdovina, A., 4 Oct 2019, (Accepted/In press) In : Journal of Noncommutative Geometry.

Research output: Contribution to journalArticle

Open Access

AF inverse monoids and the structure of countable MV-algebras

Lawson, M. & Scott, P., Jan 2017, In : Journal of Pure and Applied Algebra.

Research output: Contribution to journalArticle

Open Access

A perspective on non-commutative frame theory

Kudryavtseva, G. & Lawson, M., 30 Apr 2017, In : Advances in Mathematics. 311, p. 378-468 91 p.

Research output: Contribution to journalArticle

Open Access
Topological Category


Mahoney-Room-Neumann Prize

Mark Lawson (Recipient), 12 Dec 2017

Prize: National/international honour

honors and awards