ORMC Meetings • 2024-2025 Academic Year

Students will get an introduction to Graph Theory, including the famous Königsberg Bridge problem and outlining what makes a graph planar or not.

Students will use the game to study finite projective geometry.

Students will construct the famous number e and study its properties.

Students will learn about Lambda calculus and derive some basic arithmetic operations.

This class's packet covered the basics of the p-adic number system and how it works. The error regarding values for letters in bases greater than 10 is resolved.

Students will take a deeper than before look at the symmetric group.

We explore how financial markets combine and influence each other, especially through the role of arbitrage - the process of finding and taking advantage of price differences across markets. We describe how markets share striking similarities to thermodynamic systems. This perspective helps us see how the process of combining markets can lead to a "market entropy," a measure of lost liquidity when markets aggregate quantifying price uncertainty. Finally, we examine how this theory unifies two perspectives of a market: one as an exchange mechanism and the other as a venue for interaction among traders. The talk is aimed at a general audience.