Research output per year
Research output per year
Personal profile
Key Research Interests
I am a third year PhD student working under supervision of Professor Robert Gray. My research interests lie primarily in combinatorial algebra. My thesis explores many different decision problems in groups and inverse monoids.
Teaching Interests
Since beginning my PhD in October 2023, I have worked as an Associate Tutor (AT) for a variety of modules.
- MTHF5035A Cryptography
- MTHA5003A Complex Functions & Linear Algebra
- MTHA4007B Computation and Modelling
- MTHB3001A Basic Mathematics 1
- MTHB3006B Further Mathematics for Scientists
Education/Academic qualification
Master of Mathematics, University of St Andrews
1 Sept 2018 → 1 Jun 2023
Award Date: 13 Jun 2023
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
Research output
- 2 Article
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A characterisation of semigroups with only countably many subdirect products with Z
Clayton, A., Reilly, C. & Ruškuc, N., Apr 2025, In: Bulletin of the Australian Mathematical Society. 111, 2, p. 314-323 10 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile39 Downloads (Pure) -
On the number of subdirect products involving semigroups of integers and natural numbers
Clayton, A., Reilly, C. & Ruškuc, N., 18 Feb 2025, (E-pub ahead of print) In: Journal of Algebra and Its Applications. 2650137.Research output: Contribution to journal › Article › peer-review
Open AccessFile14 Downloads (Pure)
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York Semigroup Seminar
Reilly, C. (Speaker)
12 Nov 2025Activity: Participating in or organising an event › Invited talk
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North British Semigroups and Applications Network (NBSAN) Meeting
Reilly, C. (Speaker)
12 Jun 2025Activity: Participating in or organising an event › Invited talk
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Model Theory in the UK
Reilly, C. (Organiser)
2025Activity: Participating in or organising an event › Participation in conference