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Associate Professor Daniel Delbourgo

Daniel Delbourgo

Chairperson, Associate Professor (Mathematics)

Qualifications: PhD, Cambridge

About Daniel

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.

Papers Taught

Research Supervised

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)

Research Interests

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.

Recent Publications

  • Delbourgo, D., & Lei, A. (2020). Heegner cycles and congruences between anticyclotomic p-adic L-functions over CM-extensions [Accepted]. The New York Journal of Mathematics, 24 pages.

  • 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. (2019). 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., & 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

Find more research publications by Daniel Delbourgo

Keywords

Mathematics


Contact Details

Email: daniel.delbourgo@waikato.ac.nz
Room: G.3.04
Phone: +64 7 838 4425