Summer 2025 β Notes, Structure, and Ongoing Questions
This notebook is where Iβm keeping track of the ideas and problems Iβm exploring this summer β across graph theory, quantitative methods, and the deeper philosophical structures that underlie them.
Right now, my main focus is:
- Studying the graph isomorphism problem in detail β reading this paper, taking notes, and thinking toward possible research directions.
- Building a stronger foundation in probability, algorithms, and C++ β preparing for future work in quant, but also sharpening the tools I need to think clearly and build things that matter.
Alongside that, I return often to questions in mathematical logic, category theory, and the philosophy of mathematics β the kinds of questions that shape how we understand structure, truth, and meaning.
π Notes
- graph-isomorphism β research log and notes on the GI problem
- quant β probability, stats, coding problems, technical fluency
- category-theory β notes on abstraction, functors, Yoneda, etc.
- topology β foundational tools and occasional reflections
- proofs-and-refutations-lakatos β thoughts while reading Lakatos
- poems β fragments, impressions, images along the way
_βstructure"
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