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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.

Biography

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
Correspondence Mathematics
Morita Equivalence Mathematics

Co Author Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Research Output 2006 2017

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
File
Adjunction
Topological Category
Quantale
Restriction
Semigroup

Levi categories and graphs of groups

Lawson, M. & Wallis, A., 27 Jul 2017, In : Theory and Applications of Categories. 32, 23, p. 780-802 23 p.

Research output: Contribution to journalArticle

Open Access
Graph of Groups
Groupoid
Theorem
Categorical
Functor

Tarski monoids: Matui’s spatial realization theorem

Lawson, M. V., 21 Jun 2017, In : Semigroup Forum. p. 1-26 26 p.

Research output: Contribution to journalArticle

Open Access
File
Monoids
Theorem
Group of Units
Groupoids
Isomorphic

Wagner’s Theory of Generalised Heaps

Hollings, C. D. & Lawson, M. V., 2017, Springer International Publishing. 189 p.

Research output: Book/ReportBook

Heap
Differential Geometry
Binary relation
Precursor
Semigroup

AF inverse monoids and the structure of countable MV-algebras

Lawson, M. & Scott, P., 31 May 2016, In : Journal of Pure and Applied Algebra.

Research output: Contribution to journalArticle

Open Access
File

Prizes

Mahoney-Room-Neumann Prize

Mark Lawson (Recipient), 12 Dec 2017

Prize: National/international honour

honors and awards