Neil Saunders

Dr Neil Saunders

Senior Lecturer

Neil gained his PhD in pure mathematics at The University of Sydney. After working for a brief time at Sydney as an Associate Lecturer, he had a series of postdoctoral fellowships working at the Heilbronn Institute for Mathematical Research at Bristol University, the École Polytechnique Fédérale de Lausanne, and finally at City University of London before joining Greenwich University in September 2017. He was nominated for a Student Let Teaching Award in 2019.

Responsibilities within the university

Course Leader 2019-2020

MATH1148 Foundations in Mathematics A

MATH1167 Techniques of Calculus and Linear Algebra

MATH1135 Graph Theory and Applications

Awards

Shortlisted for a Student Led Teaching Award 2019

Focused Research Week, £7000, Heilbronn Institute for Mathematical Research, 2019

Celebrating New Appointments, £573 London Mathematical Society, Scheme 9, 2018

Lift-Off Fellowship $4500 AUD from the Australian Mathematical Society, 2011

Dean's Award for Citizenship, Faculty of Science, University of Sydney, 2009

B.H. Neumann Prize for the Best Student Talk, Meeting of the AustMS 2007

G.B Preston Prize for the Best Student Talk, Victorian Algebra Conference, 2006 & 2008

Recognition

Fellow of the Higher Education Academy

Member of the London Mathematical Society

Member of the Australian Mathematical Society

Research / Scholarly interests

Group Theory, Geometric Representation Theory

Publications

  1. Exotic Springer Fibres for Orbits Corresponding to one-row Biparitions (with A. Wilbert) preprint 2018, arXiv:1810.03731
  2. Irreducible Components of Exotic Springer Fibres II: The Robinson-Schensted Algorithm (with V. Nandakumar and D. Rosso) submitted. 
  3. 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
  4. Absorption of Direct Factors With Respect to the Minimal Faithful Permutation Degree of a Finite Group, (with D. Easdown and M. Hendriksen) submitted (2016)
  5. The Smallest Degree for a Direct Product Obeying an Inequality Condition, (with D. Easdown) Communications in Algebra, 44, Issue 8, 3518-3537 (2016)
  6. On Exceptional Groups of Order p^5, (with J.R. Britnell and T. Skyner)  J. Pure Appl. Algebra 221, no. 11, 2647–2665  (2017)
  7. Minimal Faithful Permutation Degrees for Irreducible Coxeter Groups and Binary Polyhedral Groups, J. Group Theory, 17, No. 5, 805-832. MR3259095 (2014)
  8. 10 is the Smallest Degree, Research Report for Aust-MS Lift-Off Fellowship, Australian Mathematical Society Gazette, 13, No. 5, 228-230. MR3060169 (2012)
  9. The minimal degree for a class of finite complex reflection groups, J. Algebra, 323, 561–573. MR2574852 (2010)
  10. Strict inequalities for minimal degrees of direct products, Bulletin of the Australian Mathematical Society, 79, no. 1, 23–30. MR2486877 (2009)
  11. 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
  12. Magma Proof of Strict Inequalities for Minimal Degrees of Finite Groups(with S.H. Murray) 2009 
  13. Minimal Faithful Permutation Degrees of Finite Groups, Australian Mathematical Society Gazette,35 (2008), No. 2, 332–338. MR2473204