Murray Elder

Murray Elder is a Professor at the University of Technology Sydney, affiliated with the School of Mathematical and Physical Sciences. His research focuses on geometric group theory, complexity theory, automata and formal language theory, enumerative combinatorics, and pattern-avoiding permutations. He serves as a Managing Editor for the Journal of Groups, Complexity, Cryptology and has held roles such as member of the Australian Research Council College of Experts (2019–2021) and the Council of the Australian Mathematical Society (2021–2023).

Dr. Elder has led multiple funded research projects, including grants on geodetic groups, computational complexity in algebra, and symmetries in relational structures. His work explores foundational problems at the intersection of algebra and computer science, emphasizing algorithmic and geometric approaches to group theory.

His research outputs highlight advancements in understanding group structures through computational and combinatorial lenses, with recent contributions focusing on EDT0L languages, geodesic properties of Cayley graphs, and isomorphism problems in plain groups. He actively contributes to academic leadership and editorial roles, shaping the direction of theoretical computer science and mathematics.

Dr. Elder supervises postgraduate research in areas aligning with his expertise, fostering innovation in geometric and algorithmic group theory. His interdisciplinary approach bridges pure mathematics and theoretical computer science, addressing challenges in both fields through collaborative and innovative methodologies.