These are recordings of lectures from Spring 2025 in the Vanderbilt University course Math 1300
These are recordings of lectures from Spring 2023 in the Brown University course Abstract Algebra
These are recordings of lectures from Spring 2024 in the Brown University course Graph Theory
These are recordings of lectures from Fall 2023 in the Brown University course Linear Algebra with Theory
Over the past few days, climbing made its olympic debut, and it featured a mathematically perplexing scoring system. While the climbers compete, I have enjoyed puzzling over this scoring system and computing various outcomes.
The scoring system has some strange features. I'm going to show an example of how with this scoring system, the placements of three athletes can completely change depending on the performance of a fourth.
Let's explore some real world applications of quadratic equations! Quadratic equations appear in all sorts of scenarios in math and beyond. In this video, I analyze the fall of a climber during a climbing competition to determine the hight and location of the fall using quadratic equations.
With the recent surge of coronavirus cases across the globe, I thought I would share a surprising calculation related to Covid-19. In this video, I'll show you how to answer this question: at a gathering, how likely is it that someone present has Covid-19?
Do math with me! Moduli spaces are often studied in algebraic geometry. They give us treasure maps for organizing our favorite objects! In this video, I talk about moduli spaces through two examples: line segments and triangles.
I wrote my PhD thesis about tropical geometry! This is a new, exciting, and rapidly developing area of math. In this video, I will teach you a bit of tropical geometry through examples.
This is a video about my PhD research and the field Algebraic Geometry.
Mathematicians Maddie W. and Maddie B. use the results of their math research to find ice cream and the beach.