ESP Biography
GRANT POSNER, UC Berkeley Freshman
Major: Computer Science College/Employer: UC Berkeley Year of Graduation: 2019 

Brief Biographical Sketch:
I'm a freshman at UC Berkeley with an intended major in Computer Science and minor in Astrophysics, with a possible Mathematics minor added on. Lately I've come to love mathematics more than I ever have before, so I want to share some of my interest and knowledge of math with people who want to learn. I don't know how relevant my personal hobbies are, but I really like programming (clearly) and rocketry and aeronautics and space, and I'm also a licensed private pilot! I also play the violin, but I'm not very good at it. Past Classes(Look at the class archive for more.)Cantor's Transfinite Realm: The mathematics of infinity in Splash Spring 16
An introduction to infinities, mostly related to the work of Georg Cantor. We'll cover the notion of cardinality of a set and the counterintuitive ways that cardinality behaves when you have infinite sets. We'll also look at related topics, such as:
 Hilbert's paradox of the Grand Hotel
 the Continuum Hypothesis
 history and philosophy surrounding Cantor's work, if time permits
Students should have basic knowledge of sets and maps between sets (injections, surjections, and bijections), and also of proof by contradiction. We'll use common examples of sets, including finite sets, the integers, the real numbers, and power sets. I'll briefly review any of these topics if there are any questions, though!
Classifying the Continuum in Splash Spring 16
In this class we'll look at different types of real numbers: rational vs. irrational and algebraic vs. transcendental. There will be some fun problems and proofs to think about  it won't be all definitions!
