Invitation to Integral and Rational points on curves and surfaces

TL;DR

This survey introduces Diophantine Geometry to undergraduates, focusing on equations and the nature of their solutions without delving into complex proofs.

Contribution

It provides an accessible overview of integral and rational points on curves and surfaces for beginners in the field.

Findings

Simplifies complex concepts for undergraduate learners

Highlights key problems in Diophantine Geometry

Provides foundational understanding of rational points

Abstract

This survey article is an introduction to Diophantine Geometry at a basic undergraduate level. It focuses on Diophantine Equations and the qualitative description of their solutions rather than detailed proofs.