Formally verified mathematical finance in Lean 4. Black–Scholes/Greeks/PDE, Itô calculus, FTAP/Girsanov, CRR→BS convergence, Merton jump-diffusion.
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Updated
Sep 19, 2026 - Lean
Formally verified mathematical finance in Lean 4. Black–Scholes/Greeks/PDE, Itô calculus, FTAP/Girsanov, CRR→BS convergence, Merton jump-diffusion.
Stochastic differential equation engine built from scratch in Python: Euler-Maruyama, Milstein scheme, empirical convergence verification, Ito's lemma, exact GBM and Ornstein-Uhlenbeck simulation. 55 tests.
Brownian motion, Ornstein-Uhlenbeck and coupled SDE numerical simulation; quadratic variation and mixed covariation verified numerically
intro to financial mathematics; spring 26
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