Geometry The Hidden Life of Circles Everyone knows that circles are quite simple figures, but from the perspective of number theory they have many secrets inside.

Group Theory The Power of Invariants We can find invariants in many branches of mathematics. Let us try to use the theory of invariants to solve a few popular brainteasers.

Modular Arithmetic Solving Infinite with Finite Mathematics has a lot of hidden gems. Today I will try to give us a glimpse to one of the vast domain — modular arithmetics.

Analysis Pythagorean Triples and Other Beasts I never thought that I would write math stories in English, but I also never thought that I would live in the UK either.