About
Hello, I’m Henry.
I live in San Diego. Tensorgami brings together mathematical work, essays on understanding and interpretation, and other interests.
I studied mathematics at Harvard with Richard Taylor and now work independently.
Current direction
The current expositions follow questions of transport, descent, and reconstruction through coverings, cohomology, and motives.
A useful starting point is the family w3 − 3w = t. Moving around its branch points permutes its roots, bringing monodromy into contact with Galois theory. Tannakian and motivic Galois theory provide a wider setting for these questions, connecting symmetry with cohomology, periods, and differential equations.
Fourier, Symmetry, and Reconstruction follows one route through this territory, from the classical cubic and quartic formulas to categorical Fourier duality.
What a Boundary Map Can Prove follows another, from a graph’s boundary map to derived gluing, Hodge inequalities, and the motivic Galois symmetries of an elliptic attachment.
What a Derivative Retains begins with rectangle strips and oriented boundaries, then asks what infinitesimal geometry and homotopical calculus retain. The shared reading guide connects the three studies through specific calculations and their prerequisites.
Earlier research
The research archive collects earlier work in group theory, algebra, additive combinatorics, and geometric analysis, with papers, preprints, publication details, and corrections.
Writing and intellectual life
What a New Proof Makes Possible compares what different arguments make available: constructions, quantitative bounds, and routes to further questions.
When a Description Becomes a Verdict asks what a comparison must preserve to support a judgment about a contribution.
Mathematical Life in the Age of AI follows understanding from mathematical examples into the assistance, judgment, credit, and shared work that sustain an inquiry.
When Accountability Stops Being Reciprocal examines what happens when a consequential moral judgment is challenged, and what keeps institutional authority open to correction.
The expositions follow what calculations retain; the essays examine what explanations and judgments warrant, and how people acquire the means to continue an inquiry. The reading paths connect their specific examples and questions.
The essays also extend beyond mathematics. The Authority of a Vision examines the relationship between knowledge, belief, and political allegiance in Villeneuve’s Dune.
Other pursuits
I make patterns on large twisty cubes, working out move sequences with commutators. My Interests page also includes a few notes on playing Overwatch.
Correspondence
If something here connects with your work—or if you spot a point that could be clearer—I’d be glad to hear from you.