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Hubris & Humility: Tales at the Interface

Random thoughts + Detailed Notes

Hello! I an aspiring scientist working in Cambridge MA.

Below, you'll find an assortment of notes and presentation slides that I made over the course of my independent study and work. Most of them are about foundational ideas that lie at the intersection of the life and the mathematical sciences. I write these notes in order to deeply understand the core ideas that animate these two areas of knowledge. I am distilling them here for future reference.

While I have every intention of completing each set of notes, most of what you'll see here will remain incomplete for a very long time. If you find any bugs (errors, or hard to understand sections) feel free to open a PR with the intended fix, or shoot me an e-mail. Finally, If it isn't obvious by now, this blog format was heavily inspired by Frank McSherry's awesome blog

Mathematical Sciences [WIP]

A distillation of some of the most elegant ideas in computer science and mathematics. The collection is currently skewed towards ideas that showcase cool ways to design algorithms and data structures. Some of the links are to notes hosted on notion. Such links have been marked with an asterisk. Finally, notes that evolved into full fledged libraries or binaries have the appropriate badges next to them.

Mechanistic Interpretation of Neural Networks

Is it possible to use ideas, tools, and techniques developed to understand the structure and function of biological black boxes to develop a general framework for understanding and interpreting trained Neural Networks (aka computational black boxes)?

In Search of an Algebra of Biological Systems

Biological Systems are compositional. They are made up of components that combine to form new components. This compositionality exists at multiple levels — proteins are composed of amino acids, tissues are composed of individual cells, e.t.c. Given this observation, one wonders if there exist rules that govern biological compositionality. That is, if there exists a grammar, or, an algebra, of biological systems.

System Level Diseases

Rough Notes [WIP]

A distillation of various techniques that I've found quite useful when learning new things.

  • Snippets
  • Sketchpad
  • At the Interface of Algebra and Statistics
  • Systems, Generativity, and Interactional Effects
  • An Algebra of Open and Interconnected Systems