Buss, A., Gillespie, M., Hall, L. Partial Corepresentations of Quantum Groups. In progress
Gillespie, M., Jones, B., Kaliszewski, S., Quigg, J. -- Comparing Two Notions of Coaction Invariance of Ideals in C∗-Algebras. Journal of Operator Theory, in review, 2026
Gillespie, M. -- The Ladder Technique - Quantum Groups. New York Journal of Mathematics, accepted, 2026
Gillespie, M., Hall, L., Jones, B., Tobolski, M. -- Principal Actions on Topological Quivers and Associated Operator Dynamics. arXiv preprint, 2025
Gillespie, M., Kaliszewski, S., Williams P., D., Quigg, J. Bijections Between Sets of Invariant Ideals, Via the Ladder Technique. New York Journal of Mathematics, accepted, 2025.