Research Topics

Core areas of investigation that cut across our research programs. These topics represent fundamental challenges in mathematical and computational systems.

Idiom Correspondence

P-morphism preservation across set-theoretic, categorical, and quotient representations.

Fisher Information Geometry

Curvature, transport, and CRLB bounds on statistical manifolds.

Spectral-LDP Methods

Large deviation diagnostics via tilted eigenvalues and occupancy rate functions.

Typed Effect Systems

Contract-indexed graded effects with sub-additive composition.

Modal Fixpoints

µ/ν binders for safety and liveness in probabilistic settings.

Social Field Theory

Path integrals, status quantization, and black hole thermodynamics for attention dynamics.