I am Professor of Mathematics in the Department of Mathematics and Statistics and the Associate Dean (Research) in the Faculty of Science. I also serve as the Head of the Mathematical and Stochastic Analysis Group, the co-Head of the Applied and Discrete Analysis Group, and the Head of the Strathclyde Combinatorics Group. I am an editor of Journal of Combinatorial Theory, Series A (JCTA), Proceedings of the Edinburgh Mathematical Society (PEMS), and Enumerative Combinatorics and Applications (ECA). My research interests include, but are not limited to, Combinatorics, Graph Theory, Discrete Analysis, Formal Languages and Optimisation.

Recent research has included studies in the theory of patterns in combinatorial structures and the theory of word-representable graphs. My book Patterns in Permutations and Words, published by Springer (EATCS monographs in Theoretical Computer Science book series) in 2011, is the first comprehensive source over results and trends in the fast-growing field of patterns in permutations and words. My other book Words and Graphs, published by Springer (EATCS monographs in Theoretical Computer Science book series) in 2015, is a comprehansive introduction to the theory of word-representable graphs that I pioneered alone, a field enjoying ever greater attention by other researchers, and with the ultimate goal of finding applications for analysis of algorithms on graphs and robot scheduling. Also, I'm involved in a project on optimal distribution of resources across a city or a region.  

See my personal page for more information.

• Combinatorics
• Graph Theory
• Discrete Analysis
• Formal Languages 

• Discrete Mathematics
• Enumerative, Bijective and Algebraic Combinatorics
• Graph Theory
• Discrete Analysis
• Formal Languages

• Combinatorics
• Graph Theory
• Discrete Mathematics
• Computability and Complexity
• Algorithms
• Business Analytics