While math competitions are a great entryway into mathematics, most of mathematics is concerned with proving theorems. The prolific problem solver and mathematician Erdos once said, “a mathematician is a machine that turns coffee into theorems.”

In these pages, I provide a glimpse of some of the math you may see further in your studies should you choose to pursue mathematics further.

Branches of Mathematics

Graph Theory

Pattern Avoidance

Linear Algebra

Ramsey Theory

Complex Analysis

Representation Theory