Publications and Preprints

1. Parabolic Induction for Springer Fibres (with L. Topley), Proceedings of the American Mathematical Society, 151 (8): 3331-3345  (2023)

2. Irreducible Components of Exotic Springer Fibres II: The Robinson-Schensted Algorithm (with V. Nandakumar and D. Rosso) Pacific Journal of Mathematics, 310 (2), 447-485 (2021)

3. Exotic Springer Fibres for Orbits Corresponding to one-row Biparitions (with A. Wilbert) to appear in Transformation Groups, 1-37 (2020)

4. Irreducible Components of Exotic Springer Fibres (with V. Nandakumar and D. Rosso) J. Lond. Math. Soc. 98 (3): 609-637 (2018) doi:10.1112/jlms.12152

5. Absorption of Direct Factors With Respect to the Minimal Faithful Permutation Degree of a Finite Group, (with D. Easdown and M. Hendriksen) submitted (2016)

6. The Smallest Degree for a Direct Product Obeying an Inequality Condition, (with D. Easdown) Communications in Algebra, 44, Issue 8, 3518-3537 (2016)

7. On Exceptional Groups of Order p^5, (with J.R. Britnell and T. Skyner)  J. Pure Appl. Algebra 221, no. 11, 2647–2665  (2017)

8. Minimal Faithful Permutation Degrees for Irreducible Coxeter Groups and Binary Polyhedral Groups, J. Group Theory, 17, No. 5, 805-832. MR3259095 (2014)

9. 10 is the Smallest Degree, Research Report for Aust-MS Lift-Off Fellowship, Australian Mathematical Society Gazette, 13, No. 5, 228-230. MR3060169 (2012)

10. The minimal degree for a class of finite complex reflection groups, J. Algebra, 323, 561–573. MR2574852 (2010)

11. Strict inequalities for minimal degrees of direct products, Bulletin of the Australian Mathematical Society, 79, no. 1, 23–30. MR2486877 (2009)

12. Learning and teaching in summer: is it better and why?, Motivating Science Undergraduates: Ideas and Interventions, Motivating Science Undergraduates: Ideas and Interventions, Alexandra Hugman (ed.), UniServe Science Conference Proceedings, UniServe Science, The University of Sydney, (2009), 24–29. ISBN 978-1-74210-149-1, Co- authored with Easdown D, Ancev T, Bishop T, Mansfield S, Ougrinovskaia A, Warren D

13. Magma Proof of Strict Inequalities for Minimal Degrees of Finite Groups(with S.H. Murray) 2009 

14. Minimal Faithful Permutation Degrees of Finite Groups, Australian Mathematical Society Gazette,35 (2008), No. 2, 332–338. MR2473204

Other Writing

1. Maths degrees are becoming less accessible – and this is a problem for business, government and innovation, published in The Conversation UK, May 2024. Also published in Phys.org

2. A review of Kit Yates' How to Expect The Unexpected - The Science of Making Predictions and the Art of Knowing When Not To in LMS Newletter, Issue 510 February 2024, pg 36-37

3. Rishi Sunak wants more maths at school – but finding the teachers will be hard when university departments are closing, originally published in The Conversation UK, December 2023. Also published in The Irish News, The Quint (India)

4. Evolution is making us treat AI like a human, and we need to kick the habit, originally published in The Conversation UK, May 2023. Also published in Metro UK, TheWire.in, The Businnes Stantard (India), SiliconRepublic, Rationale Magazine, CAPX, AsiaTimes, EconoTimes

5. AI is staggeringly competent, but it doesn't comprehend a thing  - as google's Lamda shows, published in Medium, June 2022

6. A review of Kit Yates' The Maths of Life and Death — why maths is (almost) everything in LMS Newsletter, May 2020, pg 41-42