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Associate Professor Daniel Delbourgo

Associate Professor

Contact Details

Email: daniel.delbourgo@waikato.ac.nz
Room: G.3.04
Phone: +64 7 838 4425
Extension: 4425
Fax: +64 7 838 4666
Website: http://www.math.waikato.ac.nz/~delbourg/workshop/

Research Interests

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.

Teaching Commitments

Recent Publications

  • 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

  • Delbourgo, D., & Lei, A. (2017). Estimating the growth in Mordell-Weil ranks and Shafarevich-Tate groups over Lie extensions. The Ramanujan Journal, 43(1), 29-68. doi:10.1007/s11139-016-9785-1

  • Delbourgo, D., & Lei, A. (2017). Congruences modulo p between p-twisted Hasse-Weil L-values. Transactions of the American Mathematical Society, 32 pages.

  • Delbourgo, D., & Lei, A. (2016). Non-commutative Iwasawa theory for elliptic curves with multiplicative reduction. Mathematical Proceedings of the Cambridge Philosophical Society, 160(1), 11-38. doi:10.1017/S0305004115000535

Find more research publications by Daniel Delbourgo