# Lina Palm: Belyi's Theorem and Belyi Maps on Hurwitz Curves

BSc thesis presentation

**Time: **
Mon 2020-06-01 13.30 - 14.30

**Location: **
Zoom, meeting ID: 647 0784 5619

**Lecturer: **
Lina Palm

**Supervisor: **
Wushi Goldring

### Abstract

Trough Belyi maps we explore branching on maps between curves. Using only the fundamentals of the theory of ramification we can prove Belyi’s theorem. In an application of the Riemann-Hurwitz formula we find Belyi maps on Hurwitz curves, in particular we look at a map on the Klein quartic.