Hello!
My name is Roman, I currently attend Miami University (Ohio) as a graduate student pursing a masters degree. I attended Ohio University for my undergraduate degree.
I love learning, and I love studying math. I have a particular interest in the field of set theory. Currently I study under Dr. Paul Larson. We are working on applications of forcing during the spring semester. During my undergrad I worked under Dr. Todd Eisworth.
This semester I am an instructor for MTH151, Calculus I.
Outside of school and work I enjoy gaming, speed cubing, and I attempt to keep a gym schedule, though many of my hobbies go on the back burner during my busy semesters.
I hope you enjoy!
-Roman
Demonstrating Independence: Forcing for Beginners
After Georg Cantor proved that the cardinality of the real numbers is greater than the natural numbers, he was left with a deeper question: just how large is the real line? Cantor didn’t know it yet, but our basic assumptions about the workings of mathematics are not strong enough to answer this question. This talk will explore how set theory builds up our foundation of mathematics, and how the combined work of mathematicians Kurt Gödel and Paul Cohen led to the conclusion that the Continuum Hypothesis is a statement independent of the axioms of set theory.
Ordinals and Slot Machines: Betting on Infinity
A talk I gave to the OU Math Club. This talk explores how a counter-intuitive game involving infinite return from a slot machine can still make you go bankrupt.
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