The Quantitative Finance Roadmap

From instruments and symbology to stochastic calculus, risk, volatility surfaces, and AI agents — a community learning path for quants.

Foundations Instruments Symbologies Quant Core Risk Optimization Vol Surfaces Data & Tools AI & Agents✓ completed

Tracks

The mathematics and tooling every quant builds on.

Cash, derivatives, and the plumbing they trade on.

ISIN, FIGI, CUSIP, SEDOL, LEI, MIC — the IDs behind every tick.

Stochastic calculus, pricing models, and the Greeks.

VaR, expected shortfall, stress tests, and model governance.

From Markowitz to robust, cost-aware, validated construction.

The smile, the skew, and the models that fit them.

Market data, vendors, APIs, and the open-source quant stack.

Machine learning, LLMs, and agent systems on a quant desk.

Explore the ranked directory of open-source fintech and quant tools that feeds this roadmap's Data & Tools track.