A presentation I gave to my high school during spring break of college covering how the birthday paradox can be applied to a nice competitive programming problem

How to derive close-formed expressions for all kinds of linear recurrences with constant coefficients

How to take inverses in modular arithmetic by hand through the extended Euclidean algorithm

How you can calculate 7^39 mod 1000 by hand.

A reflection on my experience with the American Math Competitions throughout high school

The final part of a three part series about roots of unity filter. We go over the roots of unity filter, which is a technique used for summing a subset of the coefficients of a polynomial.

The second part of a three-part series about the roots of unity filter. Covers the basics of roots of unities and goes over some algebra and geometry problems using them.

The first part of a three-part series about the roots of unity filter. Covers the basic operations associated with complex numbers.