ORMC Meetings • 2024-2025 Academic Year

Students will use the game to study finite projective geometry.

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

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.

Students will learn various ways of checking whether an integer is prime.

Students will continue studying number theory and primality tests.

Students will solve problems from International Linguistics Olympiad (IOL) and North American Computational Linguistics Open Competition (NACLO), arranged in approximate order of difficulty.

The lesson will prepare students for the 3/9 guest lecture by Prof. Lara Dolecek.

Deletion-error correcting codes, construction and modern applications.