The Mathematics Of Spot-It!

In my talk next week I will be discussing the mathematics behind the popular children’s Card game Spot It!. This game has a fascinating trick where any pair of cards will only have one matching symbol between them. At first glance this seems impossible, or...

The Gambler’s Ruin Problem

When going to a casino, most people plan on one of two outcomes being true when they leave; either they have more money than they started with, or they are leaving with their pockets empty. But did you know that there is a way to calculate the odds of these outcomes?...

The Fibonacci Word

I’m sure you’ve heard about Fibonacci numbers, but what about the Fibonacci word? Like how Fibonacci numbers are created by repeated addition, the Fibonacci word is created by the repeated concatenation of the previous numbers in the sequence. Next...

Continuity and the Popcorn Function

I will be discussing continuity and the popcorn function.  First the basic definition from pre-calc, a function you can draw smoothly without lifting up your pen. You can all picture these kinds of functions. There exists a function that breaks this intuition. It is...

VC Theory in CNN

We have at some point used AI, whether it is to get some ideas or help us understand a topic, it is a potent tool. Sometimes you will get spot-on answers, other times you will miss. But have you ever wondered what goes on behind the scenes? Come to my Math 480...

Group Theory in Chemistry

My presentation will explore the application of group theory to understand the symmetry of chemical molecules by associating them to appropriate point groups. We can then look at the character tables of these point groups and see how they encode important symmetrical...

Hypergeometric Distribution

Within statistics, the Hypergeometric Distribution represents the number of successful outcomes when sampling from a given set, without replacement. While this has many applications in data analysis, my presentation will focus on Magic: The Gathering, which is played...