Some exploration of distributed systems via the fly.io distributed systems challenges. Covers my full solutions with pseudocode + discussion about consistency models.

a conversation i had with my dad about the lottery while he was driving me to the city, and what it made me think about assessing things' value

The final part of a four part series about roots of unity filter. We go over the proof of the roots of unity filter, showing that it works with any cycle length or offset.

Reflections on the ups and downs of my first two years of college, from struggling with writer's block (which is why this post took two years from start to finish) to learning new life skills.

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.

The third part of a four 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 four 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 four part series about the roots of unity filter. Covers the basic operations associated with complex numbers.