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., & Qin, C. (2019). K₁-congruences for three-dimensional Lie groups. Annales Mathématiques du Québec, 43(1), 161-211. doi:10.1007/s40316-018-0100-y
Delbourgo, D., & Gilmore, H. J. (2019). Computing L-invariants for the symmetric square of an elliptic curve. Experimental Mathematics, 24 pages. doi:10.1080/10586458.2018.1490936 Open Access version: https://hdl.handle.net/10289/12559
Delbourgo, D., & Morgan, K. (2019). An algorithm which outputs a graph with a specified chromatic factor. Discrete Applied Mathematics, 257, 128-150. doi:10.1016/j.dam.2018.10.033
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