Current Projects

• Empirical Redemption of Marx’s Law of the Tendential Fall in the Rate of Profit Within Dynamic Cross-Dual Disequilibrium Models
• Disproportionality Crises and the Contradictions Between Use-Value and Exchange-Value: An Exegesis on Morishima’s Reproduction Schema

Completed Work

Nothing is ever complete, but this is where you’ll find work that I at some point in my life declared finished.

• YouTube Series on Marx’s Political Economy
• YouTube Series on Computability and Gödel’s Incompleteness Theorems
• My Dissertation
• Borel Complexity and Ramsey Largeness of Sets of Oracles Separating Complexity Classes
  • This is the paper which was published based on the results of my dissertation.
  • Read for free via publisher
  • Direct Download

Slides and Things

Here is where I’ll post things like slides accompanying videos I’ve made or talks I’ve given, smaller documents I’ve made for my classes, and so forth.

• Slides from my SASE-2025 Talk for the INDEP Conference
• A Discussion of Difficulty Slides
  • (Slides were made for this video)
• Slides made for my PhD Defense
• Powerpoint Slides for My Intro to Marxism Youtube Series
• Here are a some expository documents I made for my undergraduate classes as a graduate student:
  • Probabilistic Speedup and the Collision Problem
  • Probabilistic Speedup and Database Counting (Unfinished?)
  • BPP and the Chernoff Bound
  • Euler’s Formula and Domain Colorings
  • Seminar I gave on computability and the incompleteness theorems

Mathematical Notes (Handwritten)

• Topology
  • Basics
  • Basics Continued
  • Filters and Ideals
  • Nets and Sequences
  • Countability and the Sorgenfrey Line
  • Dense and Nowhere Dense
  • Ordinal Spaces
  • Metric Spaces
  • Continuous Functions, Homeomorphisms and Subspaces
  • Product and Quotient Spaces
  • Separability Axioms - T0 through T3$\frac{1}{2}$ Spaces
  • Separability Axioms Continud: T4, T5 and T6
  • Compactness
  • Local Compactness, Compactification, Other Kinds of Compactness
  • Connectedness
  • Metric Spaces, the Baire Category Theorem
  • Stray Missing Page from Baire Category Theorem Notes
  • Github Repo