ASF

Brownian motion on a deforming manifold

Kuramoto model on S2S^2

Hopf fibration S3→S2S^3 \to S^2

Reservoir Geometry: Riemannian Manifolds in Oil and Gas◆Chaos-generating periodic orbits of topological defects in confined active nematicsRust, from first principles◆Introduction to Incompressible Fluid MechanicsMaxwell's Equations and Gauge Theory: Electromagnetism as a Principal BundleNavier–Stokes: Derivation in ℝ³ and on a Riemannian ManifoldPrice as Geometry: Resolution, Coarse-Graining, and the Structure of Market NoiseDiffusion on Curved SpacesManifolds: The Language of Modern GeometryKuramoto: How Order Emerges from ChaosBTC/ETH Lead-Lag: Resolution-Dependent Direction Reversal on Binance Spot
Reservoir Geometry: Riemannian Manifolds in Oil and Gas◆Chaos-generating periodic orbits of topological defects in confined active nematicsRust, from first principles◆Introduction to Incompressible Fluid MechanicsMaxwell's Equations and Gauge Theory: Electromagnetism as a Principal BundleNavier–Stokes: Derivation in ℝ³ and on a Riemannian ManifoldPrice as Geometry: Resolution, Coarse-Graining, and the Structure of Market NoiseDiffusion on Curved SpacesManifolds: The Language of Modern GeometryKuramoto: How Order Emerges from ChaosBTC/ETH Lead-Lag: Resolution-Dependent Direction Reversal on Binance Spot
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Alejandro Soto Franco

MathematicianRust EngineerQuant

Working at the intersection of PDE theory, geometric analysis, and high-performance quantitative systems. Research spans fluid mechanics, active matter physics, and non-stationary stochastic models of financial markets.

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