19 Jul Interesting uses of algebraic number theory
In the text we provide a gentle introduction to algebraic number theory and show its applications in solving certain difficult diophantine equations. We begin with a quick summary of the theory of quadratic residues, before diving into a select few areas of algebraic number theory. Our article is accompanied by a worked problem and a list of other problems solved in our original thesis along with the respective main takeaways. All proofs are omitted for simplicity.