Associate Professor Daniel Delbourgo
Qualifications: PhD (Cambridge)
Administrative Roles: Graduate Advisor (Maths/Stats); Open Day Organisor (Maths/Stats); Maths Fees Scholarship Organisor; Postgraduate Research Committee Representative (FCMS)
Number theory is as relevant today as it was two millennia ago, with the advent of high-powered computing and cryptography.
Dr Delbourgo's research interests lie in the area of elliptic curves and modular forms.
His work applies ideas from classical Iwasawa theory and Galois representations, to study the arithmetic behaviour of invariants arising from these objects.
He is also interested in the special values of L-functions, and there is a rich vein of conjectures connecting these L-values with elements in K-groups.
Current PhD students: Hamish Gilmore (Waikato);
Previous PhD students: Chao Qin (Waikato); Lloyd Peters (Monash); David Sim (Nottingham, 2nd Supervisor); Thomas Ward (Nottingham); Paul Smith (Nottingham)
Delbourgo, D., & Lei, A. (2018). Congruences modulo p between p-twisted Hasse-Weil L-values. Transactions of the American Mathematical Society, 370, 8047-8080. doi:10.1090/tran/7240 Open Access version: https://hdl.handle.net/10289/12155
Delbourgo, D., & Morgan, K. (2018). An algorithm which outputs a graph with a specified chromatic factor. Discrete Applied Mathematics, In press, 23 pages. doi:10.1016/j.dam.2018.10.033
Delbourgo, D., & Qin, C. (2018). K1-congruences for three-dimensional Lie groups. Annales Mathématiques du Québec, Online First, 51 pages. doi:10.1007/s40316-018-0100-y
Broughan, K., & Delbourgo, D. (2017). Corrigendum: A conjecture of De Koninck regarding particular values of the sum of divisors function. Journal of Number Theory, 180, 790-792. doi:10.1016/j.jnt.2017.04.010 Open Access version: https://hdl.handle.net/10289/11161