Active nematic defects on a deforming manifold

Gait cycle tracked by bivectors

Kuramoto model on $S^2$

Prediction-Market Book Freshness from Wire to Parser ◆Surgery in membrane fusion Semantic Segmentation as Domain Resolution and Piece Typing ◆Chaos-generating periodic orbits of topological defects in confined active nematics Introduction to Physics for High School Students ◆Configuration-Space Curvature and the Navier–Stokes Singular Set Linear Algebra I: Vector Spaces and Linear Maps Quaternions Are the Rotors of Space Mathematical Pharmacology Classical Mechanics from Zero in Two Languages Configuration-Space Curvature and the Navier–Stokes Singular Set Causal Models of Concurrency FFTs on Every GPU with ferrum-gpu and gpufft Active k-atic Fluids on Riemannian 3-Manifolds Brane-Bulk Reading of Interstellar RVE-to-Mesh Pipeline for Heterogeneous Continua Analysis on Manifolds V: Stokes’ Theorem Analysis on Manifolds IV: Integration Analysis on Manifolds III: Differential Forms Analysis on Manifolds II: Exterior Algebra Probability and Statistics: A Geometric Foundation Numerical Analysis via Discrete Exterior Calculus Accounting in Quantitative Finance and Algorithmic Trading Analysis on Manifolds I: Analysis on ℝⁿ Performance Measurement Under Uncertainty Kelly Criterion from Shannon Information Theory Reservoir Geometry: Riemannian Manifolds in Oil and Gas Rust from First Principles Maxwell's Equations and Gauge Theory Navier–Stokes Equations in ℝ³ and on a Riemannian Manifold Price as Geometry Diffusion on Curved Spaces Manifolds and Modern Geometry Emergence of Order from Chaos in the Kuramoto Model Resolution-Dependent Direction Reversal in BTC/ETH Lead-Lag on Binance Spot

Prediction-Market Book Freshness from Wire to Parser ◆Surgery in membrane fusion Semantic Segmentation as Domain Resolution and Piece Typing ◆Chaos-generating periodic orbits of topological defects in confined active nematics Introduction to Physics for High School Students ◆Configuration-Space Curvature and the Navier–Stokes Singular Set Linear Algebra I: Vector Spaces and Linear Maps Quaternions Are the Rotors of Space Mathematical Pharmacology Classical Mechanics from Zero in Two Languages Configuration-Space Curvature and the Navier–Stokes Singular Set Causal Models of Concurrency FFTs on Every GPU with ferrum-gpu and gpufft Active k-atic Fluids on Riemannian 3-Manifolds Brane-Bulk Reading of Interstellar RVE-to-Mesh Pipeline for Heterogeneous Continua Analysis on Manifolds V: Stokes’ Theorem Analysis on Manifolds IV: Integration Analysis on Manifolds III: Differential Forms Analysis on Manifolds II: Exterior Algebra Probability and Statistics: A Geometric Foundation Numerical Analysis via Discrete Exterior Calculus Accounting in Quantitative Finance and Algorithmic Trading Analysis on Manifolds I: Analysis on ℝⁿ Performance Measurement Under Uncertainty Kelly Criterion from Shannon Information Theory Reservoir Geometry: Riemannian Manifolds in Oil and Gas Rust from First Principles Maxwell's Equations and Gauge Theory Navier–Stokes Equations in ℝ³ and on a Riemannian Manifold Price as Geometry Diffusion on Curved Spaces Manifolds and Modern Geometry Emergence of Order from Chaos in the Kuramoto Model Resolution-Dependent Direction Reversal in BTC/ETH Lead-Lag on Binance Spot

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Alejandro Soto Franco

MathsRustCUDAQuant

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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