Gillis, Conan; Wagner, Francis. "Conjugator Length in Finitely Presented Groups." https://arxiv.org/abs/2601.08053,
Gillis, Conan; Wagner, Francis. "Conjugator Length and Isoperimetric Functions." https://arxiv.org/abs/2608.30879,
Gillis, Conan; Riley, Tim. "Distinguishing Filling Invariants Associated to Conjugacy in Groups." In press, Journal of the Australian Mathematical Society. https://arxiv.org/html/2506.19264v1,
Gillis, Conan. "Conjugator Length in the Baumslag-Gersten Group." https://arxiv.org/html/2507.21505v1,
Gillis, Conan. "Conjugator Length in Iterated Cyclic Amalgams of Free Groups." https://arxiv.org/html/2609.21116,
Gillis, Conan. “Conjugacy in Miller's Groups.” International Journal of Algebra and Computation Vol. 34, No. 07, pp. 961-991 (2024),
Boehnke, Brian; Gillis, Conan; Liu, Hanwen; Xue, Shuhang. “The purely cosmetic surgery conjecture is true for the Kinoshita-Terasaka and Conway knot families.” https://arxiv.org/abs/2009.00522