Math Olympiads

I got started with math contests all the way back in high school. I competed in the International Mathematical Olympiad in 2016, 2017, and 2018, learned a lot about the joy of solving problems and being part of a team of peers who I could share that joy with. I liked it so much, that I kept being involved with the Olympiad community for a lot longer than high school, running trainings and preparing talks and problem sets and creating new Olympiad problems.

This page serves as a repository of a selection of materials I've made in the process. My math communication skills have evolved a lot over all those years —  as a result, these represent varying levels of maturity, mathematical or otherwise. I'll put them here in hopes that a non-zero number of people will find a non-zero amount of them useful. 

Problem Sets and Notes

• Problem sets from the Karnataka training camp for the INMO 2019: Interger Polynomials, Bases.

• Problem set on number theory for the Indian IMO team in 2019.

• Problem set on functional equations from IMOTC 2020.

• Collection of problems with remarkably anti-climactic solutions.

• Note based on a lecture I gave at MOOC 2021 on a striking solution to a tiling problem. 

• Problem set on functional equations with unusual solution sets.

  • Recording of a training session I led based on (a version of) this problem set.

• Recordings of a series of talks I gave about the Hadwiger-Nelson problem: Part 1, Part 2, Part 3, Part 4. Large parts of this are based on The Mathematical Coloring Book: Mathematics of Coloring and the Colorful Life of Its Creators by Alexander Soifer.

Original Problems

The following is a collection of various original Olympiad problems I have ever made/co-made.