Viewing the World Through a Mathematical Lens
The way that numbers interact within the world has fascinated me from an early age. My research path has led me to work on problems that are essentially about viewing the world through a mathematical lens. While discussing my journey to a career in Mathematics, I will share with you some of my favorite mathematical applications, including but not limited to DNA knotting, fighting parasites and Gerrymandering organs.
Shuffle Up and Deal: A Mathematical Journey through Playing Poker with Wild Cards
The setting: Five Card Stud poker
The objectives: To play poker using wild cards in a mathematically satisfying way. Along the way, to think like a mathematician. As a bonus, to learn a little history.
The method: Attend the talk to find out!
Indiana Pols Forced to Eat Humble Pi: The Curious History of an Irrational Number
In 1897, Indiana physician Edwin J. Goodwin believed he had discovered a way to square the circle, and proposed a bill to Indiana Representative Taylor I. Record which would secure Indiana's the claim to fame for his discovery. About the time the debate about the bill concluded, Purdue University professor Clarence A. Waldo serendipitously came across the claimed discovery, and pointed out its mathematical impossibility to the lawmakers. It had only be shown just 15 years before, by the German mathematician Ferdinand von Lindemann, that it was impossible to square the circle because π is a transcendental number. This fodder became ignominiously known as the "Indiana Pi Bill" as Goodwin's result would force π = 3.2.
In this talk, we review this humorous history of the irrationality of π. We introduce a method to compute its digits, present Lindemann's proof of its irrationality (following a simplification by Miklόs Laczkovich), discuss the relationship with the Hermite-Lindemann-Weierstrass theorem, and explain how Edwin J. Goodwin came to his erroneous conclusion in the first place.