Luke Morgan

Dr. Luke Morgan is a Researcher in the Department of Mathematics and Statistics within the School of Physics, Maths and Computing at The University of Western Australia. His research focuses on advanced topics in group theory and combinatorial structures.

His primary research interests include Algebraic combinatorics, Group theory, and Group actions, with significant contributions to permutation group theory. His work forms a unique fingerprint where Permutation Group Mathematics (100%), Simple Group Mathematics (62%), and Edge Mathematics (56%) dominate his research profile.

Morgan's recent publications demonstrate consistent contributions to high-impact journals such as the Pacific Journal of Mathematics and Journal of Algebra, with research trends emphasizing finite simple groups, primitive permutation groups, and combinatorial properties of algebraic structures. His work frequently intersects with graph theory and representation theory.

He has secured significant research funding through two Australian Research Council (ARC) grants:

• Graph symmetry and simple groups (2019-2023) as Investigator 02 with Michael Giudici
• Structure theory for permutation groups and local graph theory conjectures (2016-2019) as lead Investigator 01

Morgan actively supervises research work with three documented supervised projects and maintains strong international collaborations, particularly evident in his network of co-authors across permutation group theory research.