Number Theory

Number Theory unveils the hidden patterns and mysterious properties of integers, revealing the elegant structures that underlie all of mathematics. This course explores the theoretical foundations that have fascinated mathematicians for millennia. From the distribution of prime numbers to the secrets of modular arithmetic, we'll journey through concepts that connect pure mathematics to cryptography, computer science, and beyond. Rather than focusing on computational techniques, we'll develop deep insights into the nature of numbers themselves. Each lecture will blend theoretical exploration with problem-solving, emphasizing the development of mathematical reasoning and proof techniques. We'll work through challenging problems together during the lectures, building intuition for number-theoretic thinking.