PhD:
I completed my PhD in 2022 under the supervision of Prof Anthony Henderson at The University of Sydney.
My thesis was titled: 'Sylow classes of reflection subgroups and pseudo-Levi subgroups'
Employment:
Jul 2025 - Sep 2025 ~ Postdoctoral Research Associate at the University of Technology Sydney
Mar 2025 - Jul 2025 ~ Casual Senior Academic Tutor at St Andrew's College
Feb 2025 - Jul 2025 ~ Casual Sessional Academic at The Australian National University
Apr 2024 - Dec 2024 ~ Postdoctoral Fellow at The Australian National University
Jan 2022 - Mar 2024 ~ Postdoctoral Research Associate at the University of Technology Sydney
Aug 2019 - Dec 2021 ~ Postgraduate Teaching Fellow at The University of Sydney
Aug 2018 - Jul 2019 ~ Casual Academic Staff at The University of Sydney
Publications:
[5] K. D. Townsend. Normalisers of Sylow subgroups in reflection groups. Comm. Algebra, 53(5) (2025):1841-1855.
[4] M. Elder, A. Piggott, K. Townsend, On k-geodetic graphs and groups. Internat. J. Algebra Comput. 33 (2023), no. 06, 1169–1182.
[3] K. D. Townsend. Sylow classes of reflection subgroups and pseudo-Levi subgroups. Bulletin of the Australian Mathematical Society, 106(3) (2022):508-510. (PhD Thesis Abstract).
[2] K. D. Townsend. Classification of Sylow classes of parabolic and reflection subgroups in unitary reflection groups. Comm. Algebra, 48(9) (2020):3989-4001.
[1] K. D. Townsend. Classification of reflection subgroups minimally containing p-Sylow subgroups. Bull. Aust. Math. Soc., 97(1) (2018):57-68.
Conferences Attended:
2024 ~ Joint Meeting of the NZMS, AustMS and AMS
2024 ~ The 8th Australian Algebra Conference (Organiser)
2024 ~ World of GroupCraft IV (Organiser: UTC+10)
2023 ~ AustMS Meeting
2023 ~ Computational Algebra and MAGMA
2023 ~ World of GroupCraft III (Organiser: UTC+10)
2022 ~ AustMS Meeting (Session Organiser: Groups and their actions, Talk: Normalisers of Sylow subgroups in reflection groups)
2022 ~ World of GroupCraft II (Talk: Hyperbolic groups with k-geodetic Cayley graph)
2022 ~ Week at Infinity: Spring workshop on boundaries of groups
2021 ~ 5th Australian Algebra Conference (Talk: Levi subgroups minimally containing Sylow subgroups in finite groups of Lie type)
2020 ~ AustMS Meeting - Representation Theory (Talk: Minimal reflection subgroups containing Sylow subgroups in Reflection groups)
2020 ~ New Connections in Representation Theory (Poster: Sylow classes of Levi subgroups)
Other Talks:
2023 ~ Seminar: Quasi-transitive geodetic graphs given at UTS Groups Analysis Geometry
2023 ~ Seminar: Finite reflection groups and normalisers of their Sylow subgroups given at UTS Groups Analysis Geometry
2022 ~ Seminar: Hyperbolic groups with k-geodetic Cayley graphs given at Symmetry in Newcastle
2022 ~ Seminar: Groups with geodetic Cayley graphs given at UTS Groups Analysis Geometry
Miscellaneous:
2023 ~ Poster: Geodetic graphs and when they are tree-like presented at the Faculty of Science Transdisciplinary ECR Retreat hosted by University of Technology Sydney