Hello!
My name is Roman, I recently graduated with my degree in Mathematics from Ohio University. I currently reside in Pittsburgh, PA while I wait to start my masters degree at Miami University (Ohio).
I love learning, and I love studying math. I have a particular interest in the fields of set theory and mathematical logic. During my undergrad I worked under Dr. Todd Eisworth studying the basics of mathematical logic and set theory and working my way up to understanding how we show the independence of the continuum hypothesis via forcing. At Miami, I plan to continue my studies in set theory under Dr. Paul Larson.
During my time at OU I worked for the Ohio University Academic Achievement Center as a Peer Assisted Learning Leader. I thoroughly enjoyed the challenge of explaining mathematical concepts in different ways to suit different students’ needs. I cannot wait to continue teaching through a TA position at Miami.
Outside of school and work, I am a huge gamer. I also frequent the gym and participate in speedcubing competitions on occasion.
I made this website as a showcase of what I do, but also just as a place for me to post about what I like. Feel free to check out my résumé and CV if you are interested in hiring me, or explore my subpages and various blog posts if you want to know what I spend my time thinking about.
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.
Photo Gallery
