I am interested in Kac-Moody Algebras, Quantum Groups, and other such representation theoretic objects. I am supervised in this by Prof. Adrian Ocneanu. Publications and talks:

• A Combinatorial Language for Kac-Moody Algebras and Quivers (in prep) which is a later, improved container for the information in this presentation

• The Triangles of Ocneanu and Berenstein-Zelevinsky (joint with A. Ocneanu, in prep)p)

I also do research in computability theory and algorithmic information theory, publications below:

• Bellman's Forest Problem and Computability (Submitted 2025, preprint)

• A Randomness Test Formalism for Neutral Measures and Beyond (Submitted 2026, preprint)

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Largely as part of mentoring undergraduates (all joint with S. Pack), I have been involved with a few projects using different notions of fractal dimension to analyze data. So far this is in the biomedical context, but I am open to pursuing new types of data to analyze. This has been done with the:

• EULER Center Summer Research Program 2026

• StemForAll 2026

Occasionally a colleague will ask me (or I will offer) to write them a reference for some unfamiliar thing they are bumping up against. This has resulted in a small collection of expository works and talks, many of which are fairly rough:

• Forcing for Analysts (Notes)

• Determinacy and Forcing (Talk notes)

• Non-Linear Sigma Models (Talk slides)

• Computable Metric Spaces (Talk notes)

• Pedagogical Introduction to Measures and Multifractals (Notes, joint with S. Pack)

• O -Minimality (Talk slides)

• p-Adic Lie groups (Talk slides)

• Mirror Symmetry (Talk slides)

These were all made on a fairly accelerated timeline, and so contain errors. I am sharing them here in the hope that they may be useful to someone. If sources are not included in the document itself, they are listed on the page.