This repository is my public commitment:

By December 2026, I will deeply understand and apply:

• Quantitative Finance (stochastic processes, risk, modeling)
• Zero-Knowledge Proofs (zk-SNARKs, zk-STARKs, cryptographic systems)

My goal is to fuse both domains into real-world systems at the intersection of:

State • Uncertainty • Verification

1. Deterministic Financial State Engine
   A backend where every state transition is provable and replayable.

2. Real-Time Stability Model
   A system that stabilizes noisy inputs using feedback control.

3. Verifiable Computation
   Prove computations occurred without revealing inputs.

4. Unified System (Quant + ZK + Backend)
   Combine:

   • State management
   • Uncertainty modeling
   • Cryptographic verification

Understand state, instability, and control — in code.

• Simulate unstable variable (angle / drift)
• Implement PID controller
• Add noise (IMU-style simulation)

• Accounts + transfers
• Transaction hashing (block chaining)
• Enforce invariants (no invalid states)

• Expose ledger via REST API
• Logging + validation
• Rate limiting

“Stability + Ledger System”

• C++ → control simulation
• Rust → state engine
• Go → system interface

Shift from reactive control → predictive systems

• Simulate noisy sensor data
• Implement:
  • Complementary filter OR
  • Basic Kalman filter

• Event sourcing in ledger
• Replay system state from logs

• WebSocket or streaming layer
• Live state updates

“State Estimation Engine”

System that:

• Reconstructs true state from noise
• Logs and replays full system history

Treat markets as unstable dynamic systems

Inputs:

• Trades

Outputs:

• Drawdown
• Exposure
• Risk violations

• Monte Carlo simulation
• Basic Value-at-Risk (VaR)

• Connect to Rust backend

“Trading Risk Stabilizer”

System that:

• Detects instability (risk)
• Enforces constraints

Understand how to prove without revealing

• Finite fields (from scratch)
• Constraint systems (R1CS basics)

Prove: balance > X

Without revealing:

balance

• Circom or
• Halo2

“First Verifiable Computation”

Combine state + proof

• Backend holds private data
• Generate cryptographic proof
• API verifies proof

• Proof verification endpoint
• Proof logging system

“Verifiable Backend System”

Move beyond PID → optimal control systems

• Linear algebra (applied)
• State-space models

Replace:

• PID controller

With:

• LQR (Linear Quadratic Regulator)

“Optimal Control System”

Build something rare and defensible

System proves:

• Trades followed risk rules

Without revealing:

• Actual trades

• Risk engine (July)
• ZK system (Aug–Sept)

“Private Risk Engine”

Package everything into a flagship artifact

Examples:

• Verifiable Trading Engine
• Trustless Risk System
• Proof-Based Financial State Machine

• Full GitHub repository
• Architecture diagram
• Technical blog write-up

Some Flagship System

This roadmap is not about tutorials.

It is about building:

• Systems thinking
• Mathematical maturity
• Verifiable infrastructure

By the end of this roadmap, I will be able to say:

“I don’t just model systems.
I control them, verify them, and prove their correctness.”