Research

Publications

1. Nils Bruin, Daniel Lewis, Two-cover descent on plane quartics with rational bitangents, ANTS XIV: Proceedings of the Fourteenth Algebraic Number Theory Symposium, The Open Book Series 4-1 (2020), 73-89. Or see ArXiv preprint arXiv:2003.00666. See also electronic resources, a video presentation (also on YouTube) and Nils's slides

In preparation

2. Daniel Lewis, Newton Slopes of Specializations (est. 2025)

Theses

PhD thesis: Newton Slopes of Specializations (University of Arizona, 2024)

Supervisor: Professor Bryden Cais

MSc thesis: An implementation of two-cover descent methods on plane quartic curves (Simon Fraser University, 2019)

Accompanying electronic data

Supervisor: Professor Nils Bruin

MMath thesis:  Elliptic curves with complex multiplication; the Coates--Wiles theorem (University of Warwick, 2014)

Supervisor: Professor David Loeffler