I really love writing about math. Here you can find a bunch of notes, articles and solutions that I have written throughout the years.

MMO Solutions

These are the exams that were organized by the Mathematical Society of Myanmar from 2015 to 2019 to select members for the Myanmar IMO team. As of 2023, they have been replaced by the Myanmar Open Mathematics Competition (MOMC).

Currently, there is only one entry for Grade-11 (Tenth Standard) level exams which you can download here. In the future I might write these for other levels as well.

Lecture Notes

These are some of the lecture notes that I took live during mathematics courses that I have taken in CUHK. I have edited them lightly afterwards, but inevitably some typos and errors might be still there and they are solely my fault.

MATH5051 (Abstract Algebra I), Fall 2023, taught by Prof. Jiu-Kang Yu [pdf]

MATH3040 (Fields and Galois Theory), Spring 2023, taught by Prof. Michael Mcbreen [pdf]

Geometry Handouts

Here are a bunch of handouts and notes on Euclidean geometry that I wrote mostly during the Myanmar team trainings for IMO2020 and IMO2021. They were written primarily for internal use, so most of them are very informal and the quality varies a lot.

Moving Points and Linearity [pdf] - This is about a point moving lemma which is folklore in olympiad geometry. Not to be confused with moving points from projective geometry.

Some Properties of the Feuerbach Point [pdf] - The existence of the Feuerbach point is usually proven by invoking Casey’s theorem. Here, I describe a synthetic proof of this result and one of its interesting properties.

Spiral Similarities and Miquel Points [pdf] - This is a fairly standard exposition on the spiral similarity lemma and its applications. A lot of it is taken from Yufei Zhao’s Cyclic Quadrilaterals - The Big Picture.

Homotheties [pdf] - A very short introduction to homotheties, and a quick synthetic proof of Monge’s theorem.