I received my Doctor of Philosophy (PhD) in Mathematics from Penn State University. My official advisor was Dr. Jan Reimann, and I was also unofficially advised by Dr. Linda Westrick.

Area of Research

My area of research touched several mathematical theories: Mathematical Logic, Computability Theory, Algorithmic Information Theory (AIT), and Geometric Measure Theory (GMT). In particular, I studied the applications of AIT to GMT.

Below is a primer document to AIT and its potential application to GMT:

AIT Primer Page

I made this video as a more basic introduction to this connection as well.

Dissertation

This dissertation was submitted in June 2025 in completion of my doctorate in mathematics. I graduated Summer 2025. You can find my dissertation at this page, or read it below.

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Dissertation Defense

I defended my dissertation on June 05, 2025. The defense was held at 10AM in 114 McAllister Building with both in-person and remote attendance. Included below are my slides as well as a recording of my defense.

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