EssayPhilosophy
The Letter That Would Never Arrive
A systems-level argument for why Ramanujan's genius wasn't just rare—it was uniquely visible. And why the next one won't be.
Essays and reflections on mathematics, science, philosophy, and the nature of inquiry itself. A space for ideas that don't fit neatly into papers.
Two clerks. Two continents. Decades apart. Both changed the world from a desk job. The turn of the 20th century was the best of times to be a clerk with a theory. Einstein was in Bern. Ramanujan was in Madras. One a patent clerk, the other a port trust clerk—two men walk into a bar called “History...” neither was supposed to be there, and yet there they are. Two essays trying to understand how that happened—and whether the door they walked through still exists.
A systems-level argument for why Ramanujan's genius wasn't just rare—it was uniquely visible. And why the next one won't be.
You can't breed black swans by culling white ones. A meditation on genius, madness, and the lottery of circumstance.
Essays written for my doctoral qualifying examination, August 2025. Three responses to my committee's questions, and a fourth essay tracing the eigenvectors of thought that connect them—the invariant structures underlying how I think about neuroscience, physics, and computation.
How evolution programs neural circuits before birth—exploring the computational demands of precocial species and what they reveal about developmental 'machine code' in the brain.
What mechanical tide predictors reveal about the computational differences between cortical and subcortical structures—and the shared oscillatory language of neural information flow.
From party dynamics to power laws—how the mathematics of 'rich-get-richer' networks connects to Hebbian plasticity and the self-organization of synaptic weights.
Reflections on my doctoral qualifying examination—how forty-eight papers, four mentors, and three essays revealed the invariant structures underlying my approach to neuroscience, physics, and computation.