Associate Professor Daniel Delbourgo
Chairperson, Associate Professor (Mathematics)
Qualifications: PhD, Cambridge
Phone: +64 7 838 4425
Daniel grew up in Tasmania, and then moved to England to do his PhD.
He subsequently undertook postdocs in Paris and Strasbourg, before obtaining a permanent position at the University of Nottingham.
Daniel later moved to Melbourne for a four year period, and started at the University of Waikato in 2012.
Number theory is as relevant today as it was two millennia ago, with the advent of high-powered computing and cryptography.
Daniel'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.
PhD students: Hamish Gilmore (Waikato), Chao Qin (Waikato); Lloyd Peters (Monash); David Sim (Nottingham, 2nd Supervisor); Thomas Ward (Nottingham); Paul Smith (Nottingham)
Delbourgo, D., & Gilmore, H. J. (2021). Computing L-invariants for the symmetric square of an elliptic curve. Experimental Mathematics, 30(1), 32-55. doi:10.1080/10586458.2018.1490936 Open Access version: https://hdl.handle.net/10289/12559
Delbourgo, D. (2021). Variation of the algebraic λ-invariant over a solvable extension. Mathematical Proceedings of the Cambridge Philosophical Society, 170(3), 499-521. doi:10.1017/S0305004119000495
Delbourgo, D. (2020). Variation of the analytic λ-invariant over a solvable extension. Proceedings of the London Mathematical Society, 120(6), 918-960. doi:10.1112/plms.12306
Delbourgo, D., & Lei, A. (2020). Heegner cycles and congruences between anticyclotomic p-adic L-functions over CM-extensions. The New York Journal of Mathematics, 26, 496-525. Open Access version: https://hdl.handle.net/10289/13861