Ryan Carpenter



I am a graduate student pursuing a PhD degree in mathematics and an MA degree in philosophy at The University of Illinois at Chicago.

My research interests include mathematical and philosophical logic, primarily, with particular emphasis on model theory and its applications in math and philosophy. Prior to coming to Chicago, I completed my Bachelor's degree in mathematics and philosophy at The University of Pittsburgh, earning honors distinctions in both areas of study.

My CV (last updated March 2025) can be found here.

One may reach me via email at rcarpe5 [at] uic [dot] edu. Additionally, my office is located at SEO 730, 851 South Morgan Street, Chicago, Il 60607.


Papers




Teaching


Fall 2024:

Spring 2024:

Fall 2023:

Spring 2023:

Fall 2022:

Spring 2021:

Fall 2020:

Spring 2020:

Fall 2019:

Spring 2019:


Selected Talks


"On Relevant Arithmetic"

Given to the Louise Hay Logic Seminar for graduate students in logic at UIC on November 7, 2022

Please email me for notes of the talk.

"Modal Model Theory: A Potential Foundation for Mathematics?"

Given to the Louise Hay Logic Seminar for graduate students in logic at UIC on March 6, 2023

One may find the notes for this talk here .

"1 + 1 = 2: I Read Principia Mathematica So You Don't Have To"

Given at the 23rd annual Graduate Student Conference in Logic on April 16, 2023

One may find the notes for this talk here .

"Paradox, Cardinals, Gödel, and Cantor"

Given to the Louise Hay Logic Seminar for graduate students in logic at UIC on October 5, 2023

One may find the notes for this talk here .

"A Brief Survey of Hyperreal Numbers"

Given to the Louise Hay Logic Seminar for graduate students in logic at UIC on March 7, 2024

One may find the notes for this talk here .

"A Consistency Proof of PA"

Given to the Louise Hay Logic Seminar for graduate students in logic at UIC on September 11, 2024

One may find the notes for this talk here .

"On o-Minimally Definable Groups and Fields"

Given to the Louise Hay Logic Seminar for graduate students in logic at UIC on January 27, 2025

One may find the notes for this talk here .