'Filkina' Medal Award (Филькина премия), August 5,
(probably in) December, 2022

Since ancient times, mathematicians have been looking for a universal way to avoid justice. It seemed for a while that the paradox of Achilles and the tortoise would provide such an opportunity. But our continuous reality requires new, more sophisticated solutions.

Given a graph, is it possible to colour it with a certain number of colours so that adjacent vertices do not receive the same colour? The graph colourability problem has many applications in daily life. Maybe one further application has been overlooked so far.

Recent studies have shown that cats can perform arithmetic operations if they choose to do so. We generalize this result and prove that cats can perform any task available to a modern PC.

While doing my research on computational geometry, I have met the same bunny many-many times in various papers. By the time I got the main result, I has been so tired of this bunny that I decided to put it into the algorithm and see if its ears would be torn off...

Magic does exist, and even can be written by mathematics. Between poetry and philosophy, welcome to the topic which will open new dimensions.

Many people use Lock Patterns to secure their devices. In this talk we will discuss if the most complicated pattern exists and find all of them.

We will discuss how to predict the future, to write several books, to become rich and even be invited to the Oprah Winfrey Show.

Many of us have heard the idea of a fractal related to objects in everyday life, such as some vegetables. In this talk we will see what concepts of metric geometry help us to understand the structure that makes these examples so attractive.

For most of us, gossiping is a very frequently performed activity through which we delve into the underworld of interesting things not many would dare say in public. But do we do so in an optimal way?
We will try to bring rigour into gossiping by discussing potential problems a gossiper may encounter and review some ways to solve them.

The main goal of the talk is presenting the most useful application of probability theory. We research an important modern problem, that is the drunk NSU student problem.

Between 25% and 40% of the world's population are introverts. Introverts feel uncomfortable in the company of people, but they can't survive on their own. What can we do?

Have you ever heard about the influence of preferences in alcohol and croaking on grade point average? During the report it will be discussed and not only that.