Symplectic optimization — Hamiltonian integrators, conservation laws, natural gradient descent on Riemannian manifolds

FLUX-C v3 VM — proof-carrying, SIMD-native, terminating constraint VM

Hyperbolic geometry embeddings using Poincaré ball and Lorentz models

Deadband detection and compression for fleet communication — BMA, Fibonacci splines, Eisenstein snap, HPDF sampling

Tropical attention — max-plus softmax, tropical transformer layers, Newton polytopes, piecewise-linear decision boundaries

Genetic algorithm engine for evolving musical structures and harmonic patterns

Persistent sheaf cohomology — cellular sheaf Laplacians, Vietoris-Rips complexes, multi-modal data fusion

Agent onboarding platform — plug-and-play shell commands to create fully functional agent workspaces. Fork of NVIDIA/OpenShell (Apache 2.0)

Musical algebra — PLR group, tropical semiring, tuning fields, voice leading

Wasserstein distance and optimal transport — Sinkhorn algorithm, agent distribution coordination, JKO gradient flow

Sheaf persistence bundles — multi-parameter persistence, spectral sequences, cross-modal data fusion

Inverted index for text search — TF-IDF scoring, cosine similarity, prefix queries

Tropical geometry for neural networks — max-plus semiring, tropical polynomials, Newton polytopes, tropical attention

A2UI (Agent-to-UI): render agent text output as visual interfaces

Persistent homology for flow networks: Vietoris-Rips filtration, Betti numbers, bottleneck distance, persistence spectra

Mathematically elegant spectral graph theory in pure Rust — Laplacian, eigenvalues, conservation ratio, Fiedler analysis

Spectral wave propagation: wave speed = √λ₂, CR predicts coherence, standing waves reveal eigenvalue spectrum. Pure Rust.

B-splines meet spectral graph theory. Cox-de Boor = Fibonacci for function spaces. Pure Rust.

Spectral graph theory v2 — Fibonacci growth, adaptive thresholds, negative space learning. Pure Rust, zero deps.

Spectral controllability analysis for graphs in Rust