Mathematics · Code · Delivery

Brigitte Coles

I build at the intersection of systems, intelligence, and value. My work spans consulting operating realism, knowledge architecture, agentic systems design, human and institutional intelligence, and finance-linked value creation.

Explore

Constraint Surface Governance

Patent Pending

The only governance architecture that catches novel agent actions by boundary geometry rather than rule enumeration — making incompleteness a solved problem.

Imperative·published

Restorative Governance

Patent Pending

The only multi-agent governance protocol where nobody decides — topology governs, trajectories reshape, and utility survives enforcement.

Imperative·published

Proof over Inspection

Patent Pending

Agents prove their own compliance cryptographically — verification cost stays constant while inspection cost scales linearly with agent count.

Imperative·published

Failures as Theorems

Patent Pending

Some multi-agent failures are not bugs but cohomological obstructions — mathematical theorems that no amount of debugging resolves.

Imperative·published

10x10 Domain Intelligence

Patent Pending

Ten mathematical operations discover what organizations must become — not inventory what exists, but surface the Becoming layer no EA framework addresses.

Imperative·published

Fractal Design

Patent Pending

Same I/O contract at every scale — single agent, cluster, value stream all expose the Brick Contract, eliminating architectural refactoring at each composition level.

Imperative·published

Void Topology

Patent Pending

Diagnoses what is absent, not what is present — cohomological obstructions in structured absence map deterministically to corrections at t=0.

Imperative·published

Harmonic Alignment

Patent Pending

AI alignment on a substrate where the mathematics itself distinguishes safe from unsafe — syntonic comma bounds replace arbitrary hyperparameters.

Imperative·published

Exploit-Proofing Triad

Patent Pending

Three control architectures that change equilibrium violation rates — not monitoring costs — validated against $5B+ in governance failures.

Imperative·published

AgentOS + Governance Engine

Patent Pending

Constitutional agent OS where governance is structural, not bolted on -- 76 tests, 8 packages, patent-protected.

Build·published·Live Demo

Simiya (Platform + SimiyaID + Discovery Hub)

Patent Pending

Ontological discovery platform that finds what must exist, not what already does -- 264 tests, 3 products, swarm architecture.

Build·published·Live Demo

FORGE

Pipeline app builder that makes AI workflows repeatable, not artisanal -- Glyph Design System, Next.js, Vercel-deployed.

Build·published

Proforma Intelligence

Patent Pending

Hybrid financial diagnostic where deterministic computation constrains what AI can say -- Steps 2-3 zero AI calls.

Build·published·Live Demo

ATLAS

Methodology delivery wizard where consulting IP is the application, not a slide deck -- 6 stages, Fractal Canvas, PDF export.

Build·published

Practice OS

MCP server that makes consulting knowledge compound instead of evaporate -- 38+ tools, 253-entity graph, 112 tests.

Build·working

Self-Learning Agent

Patent Pending

Four-loop autonomous learning architecture where agents grow capabilities without modifying core axioms -- Python, soul seed governance.

Build·working·Live Demo

Companion Daemon

Always-on background agent that detects drift when it happens, not when you ask -- continuous practice intelligence.

Build·planned

Intent Architecture Studio

Memory-native content architecture tool that starts from business structure, not keywords -- 7-step analysis, Supabase-backed.

Build·planned·Live Demo

AgentOS MCP Bridge

Scope multiplexer that presents 13 internal servers as one endpoint -- the architectural prerequisite for AgentOS distribution.

Build·planned

The Revolution Will Not Be Prompted

Cognitive means of production relocated from firm to worker. Process Intelligence Graph is the new defensible asset. SSRN-5851725.

Research·published·Live Demo·Paper

The Cost of Rationality in Agentic Systems

95% AI failure rate is Nash equilibrium, not engineering gap. Three-layer multiplicative model predicts it from game theory first principles.

Research·published·Live Demo·Paper

Trust and Risk Asymmetry

Penalty severity cannot reduce violation rates — only audit frequency. Formal proof: m = 1/(1+x), compliance p = k/b regardless.

Research·published·Live Demo·Paper

Resonant Multi-Graph Agentic System

Enterprise as six interconnected graphs. AI agents as validated graph transformations inside a deterministic structural envelope.

Research·working·Live Demo

Balancing Intelligence

AI paradox formalized as strategic equilibrium. AI Strategic Balance Frontier maps efficiency vs. productivity with contextual moderators.

Research·working·Live Demo

The Financial Impact of Change Climate

Change climate indicators as leading financial signals. Many-to-many causal mapping with 2-3 quarter predictive lead time over P&L.

Research·working·Live Demo

WTP Regression / Computing Intent

1,820 opportunities, R² = 0.850. Engagement type and buyer persona drive pricing; practice ownership does not. Empirical proof.

Research·working·Live Demo

Brachistochrone-Optimal Steering

Patent Pending

Configuration spaces have Riemannian geometry induced by Trust Ledger history. Brachistochrone path beats batch re-optimization. Patent-protected.

Research·working·Live Demo

Put-Call Parity as Knowledge Consistency

Patent Pending

Parity invariant R_A(f) - R_B(f) = S(f) - K(f)·δ(t) replaces consensus rounds with continuous violation monitoring. Patent-protected.

Research·pipeline·Live Demo

Coordination Failure in Multi-Agent AI

5-10% AI success rate is predicted Nash equilibrium. Three mechanism design interventions with formal parameter thresholds shift it.

Research·pipeline·Live Demo

The Private Equity AI Thesis

Patent Pending

CoG methodology for PE mid-market ($50M-$500M). EBITDA attribution at decision-density nodes within 100-day operating review. Patent-protected.

Research·pipeline·Live Demo

The Leadership Imperative in the Age of AI

Davis's inquiry-ensemble model extended with three structural layers for AI-era leadership. Operating system, not disposition.

Research·pipeline·Live Demo

Knowledge Architecture & Ontology

Patent Pending

Full-stack knowledge systems: formal ontology + computable entity graph + mathematical discovery + research pipeline — 253 entities, 248 links, 3 deployed products.

Capability·published·Live Demo

Agentic System of Systems

Patent Pending

9 imperatives, 9 papers, 17 products — the only enterprise AI architecture with mathematical formalization for governance, composition, verification, and alignment.

Capability·published

Intelligent Operating Models

Patent Pending

Operating models where AI agents are structural participants, not tools — CoG-level EBITDA attribution within 100-day PE review windows. 12 client engagements.

Capability·published

Financial Value Creation & Capture

Patent Pending

AI value attributed at CoG level with causal mechanism chains, not aggregate ROI — R²=0.850 WTP regression, $5B+ failure analysis, PE-grade financial modeling.

Capability·published·Live Demo

Ma'at Gate Protocol

Patent Pending

Fractal governance operator: identical at every scale, restorative not punitive, ZK-attested at each evaluation.

Framework·published

Constitutional Governance Engine

Patent Pending

Runtime enforcement of 8 axioms, boot state machine, manifold, and cryptographic seal. Governance as structure, not policy.

Framework·published

Trajectory Reshaping Architecture

Patent Pending

Restorative correction mechanism: computes corrections from obstructions and curves trajectories back within bounds.

Framework·published

Fractal Attestation Network

Patent Pending

Recursive ZK proof aggregation via Merkle tree structure. O(1) verification regardless of agent count.

Framework·published

ZK Trust Ledger

Patent Pending

Distributed proof chain carrying ZK attestations. No central registry, no single point of compromise. Dual-role: verification and geometric optimization.

Framework·published

Operadic Configuration Analysis

Patent Pending

Operad theory + sheaf cohomology to detect permanent, non-patchable failure modes in composed agent systems.

Framework·published

Simiya Methodology (Being/Doing/Becoming)

Patent Pending

10 operations x 10 invariants x Being/Doing/Becoming. Generative ontological discovery, not inventory mapping.

Framework·published·Live Demo

Brick Contract

Patent Pending

Flat, semantically typed, scale-invariant interface contract. Same I/O at single agent, cluster, and value stream.

Framework·published·Live Demo

CoG Hierarchy Pattern

Patent Pending

Computational identification of decision density nodes. 6-10 CoGs in mid-market vs 20+ in enterprise. PE-native scope.

Framework·published

Void Topology Heartbeat Protocol

Patent Pending

Structured absence detection via void geometry. The shape of what is missing encodes causal information positive-space tools cannot.

Framework·published

Negative Observability Framework

Patent Pending

Sheaf-theoretic observability for structured absence. Instruments what is not happening with the rigor applied to what is.

Framework·published·Live Demo

Harmonic Soul Architecture

Patent Pending

12 governance dimensions on musical frequency ratios. Syntonic comma (21.5 cents) formalizes irreducible misalignment bounds.

Framework·published·Live Demo

Runtime Temperament Engine

Patent Pending

Dynamic tuning across 12 governance dimensions. Distributes comma budgets, detects wolf intervals, adapts to operational conditions.

Framework·published

Exploit-Proofing Frameworks

Patent Pending

Three control architectures replacing penalty-based governance. Stochastic enforcement, commitment crystallization, safety predicates.

Framework·published·Live Demo

Proforma Engine

7-tab PE financial diagnostic workbook. Compute-first-write-values discipline eliminates formula fragility in AI-generated models.

Framework·published·Live Demo

Agentic Operating Model

Organizational redesign around AI agents. Agent PODs at Centers of Gravity, 23 canon schemas, task contracts, lifecycle registries.

Framework·published·Live Demo

Content Engine Pipeline

5-stage research-to-distribution pipeline with stage-gate governance, velocity metrics, and bottleneck detection via 12 MCP tools.

Framework·published·Live Demo
Imperatives
The mathematical commitments
Builds
Production software
Research
Formal contributions
Frameworks
Delivery mechanisms