Incidence geometry and polynomial expansion over finite fields
Abstract
We use spectral theory and algebraic geometry to establish a higher-degree analogue of a Szemerédi–Trotter-type theorem over finite fields, with an application to polynomial expansion.
Fields of Study & Subjects
Computability
Logic
AI Algorithms
Coding theory and cryptography
Advanced Topology and Set Theory
Publication details
- Journal / source
- Proceedings of the Royal Society of Edinburgh Section A Mathematics
- Pages
- 1–12
- Publication date
- 23 February 2026
- Language
- EN