Research
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Interests Coherent configurations, association schemes, algebraic graph theory, design theory
For a very basic introduction to what I study, look here. It is aimed at non-experts and maybe even non-mathematicians. Some recent work is on making use of an edge weighting, in the graphs of a coherent configuration, to construct a new configuration that I call the covering configuration. The CCs produced have interesting properties -- see the "t-fold covers" preprint below if you are motivated to read more.
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2021
Papers
On strongly regular designs admitting fusion to strongly regular decomposition, Journal of Combinatorial Designs 29 (2021), 703-722
On t-fold covers of coherent configurations, Ars Mathematica Contemporanea 14 (2018), 397-413
Weighted association schemes, fusions, and minimal coherent closures, Journal of Algebraic Combinatorics 41 (2015), 785-815
Type-II matrices in weighted Bose-Mesner algebras of ranks 2 and 3, Journal of Algebraic Combinatorics 32 (2010), 133-153
Quotients of coherent configurations - unpublished manuscript
Regular weights and the Johnson scheme, Israel Journal of Mathematics 97 (1997), 11-28
Regular weights of full rank on strongly regular graphs, Israel Journal of Mathematics 95 (1996), 1-23
Strongly regular fusions of tensor products of strongly regular graphs, Rocky Mountain Journal of Mathematics 24 (1994), 709-718 -
2021
Students supervised
Joshua Gunter, Honour's thesis co-supervisor, 2018
Alex Sharp, Honour's thesis supervisor, 2017
Patrick MacIntyre, Honour's thesis supervisor, 2016
Ayesha Noel, Honour's thesis supervisor, 2015
Ayesha Noel, summer research supervisor, 2014
Michael Freeze, summer research co-supervisor, 2012
Michael Freeze, NSERC summer research co-supervisor, 2011
Eric Webster, NSERC summer research co-supervisor, 2010
Michael Freeze, Master's thesis committee, 2016
Rasha Almohammadi, Master's thesis committee, 2016
Henry Bediako-Asare, Master's thesis committee, 2009