The Undergraduate Seminar in Mathematics is a weekly, hour long talk. There you can hear about some of the many deep and interesting areas of mathematics beyond what you would see in the classroom of most math classes. The talks are designed to be accessible to any college student; little to no math background is required. The seminar occurs most weeks on Tuesday from 6-7pm, in Stevenson 1206. Come by and enjoy some pizza and soda before the talk, and hear about something new. We hope to see you there!
This semester’s talks: (This list will be updated as talks are scheduled.)
February 21: Zach Gaslowitz
Title: Playing with Math
Abstract: We will discuss a few pencil-and-paper games that you can play with your friends, and we’ll see how we can use logic and mathematics to understand them on a deeper level. Does one player have an advantage over the other? Is there a ‘best’ way to play, and if so, how can we figure out what it is? You’ll come away with some sneaky moves to trick, and perhaps even amaze, you friends.
February 28: Gili Golan
Title: The Banach-Tarski Paradox
Abstract: The Banach-Tarski Paradox says that it is possible to cut a ball into 5 disjoint pieces and rearrange the pieces to get two balls of the same size. We would talk about the Axiom of Choice which implies the Banach-Tarski Paradox and discuss some Group Theory results which form the basis for the paradox.
March 14: Ryan Solava
Title: Is pi overrated?
Abstract: Yes, it is.
To celebrate this Pi Day, we will discuss the reasons that pi is not as great as everyone seems to think. I will propose an alternative to pi and examine its many benefits.
March 21: Hayden Jananthan
Title: Computability and the Church-Turing Thesis
Abstract: In the 1930s, Alonzo Church, Alan Turing, and Kurt Godel independently created their own definitions of what it meant for a function to be computable. Although extremely different, it was shown they all defined the same class of functions, and this observation lead to the Church-Turing Thesis:
“Every effectively calculable function (effectively decidable predicate) is general recursive.”
We will formally define what it means to be general recursive (now known as Partial Recursive), introduce another model of computation, and illustrate the Church-Turing Thesis for these two models.
March 28: José Gil-Férez
Title: The Hero and the Hydra: A Journey to Infinity and Beyond (and Back Again)
Abstract: The Hydra, with its many, many heads, poisonous breath, and so venomous blood that even its scent is lethal, is guarding the entrance to the Underworld. The hero needs to slain the monster, but with each head that is severed, the rage of the beast grows and many more heads spring up.
We realize that, for the task to be accomplished, all that is needed is to know the number of the beast. But its number is not part of this finite world of ours, and the search is going to lead us up the ordinal stairs, to the infinity and beyond. With good fortune on our side, we shall return, descending from the hinterlands of infinity in only a finite number of steps, just on time to defeat our foe.
From this journey, we will learn about our limitations, as finite beings, and how the multiple powers of our imagination would prove necessary to overcome them.
April 4: Blake Dunshee
April 11: Matthieu Jacquemet
April 18: Derek Bruff
Check out all of the awesome talks we have had in the past!