I do research on mathematical finance, mainly on volatility models. Currently based in Hong Kong, otherwise in Barcelona. Tennis when I can.

Writing

On modeling compute markets

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Why compute should be modeled as term structures rather than a single price, and what that buys for hedging, reservation pricing, and collateral.

Projects

Recursive Discovery

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A compact system for recursive mathematical and empirical scientific discovery.

Compute Market Model

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Stochastic delivery curves for compute pricing, infrastructure financing and portfolio control.

Research

Volterra-Perron Pricing of the Option Manifold

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Formulates option surfaces as the public quotient of a latent Volterra-Perron state, deriving recovery, residual-pricing, native-Greek, synchronization, and finite-benchmark results.

Synchronized Stress Relative Value Public-Neutral Option Books under Latent Stress Compression

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Builds a public-neutral listed-option rule that sells index synchronization convexity against carrier-basket convexity only after an adapted lower-bound sellability gate is positive.

Perron Stress Pricing under Public Compression Residual Price Intervals, Synchronized Stress, and Visible Hedging

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Develops residual pricing, stress-charge selection, synchronized carrier absorption, and visible-hedge decomposition for Perron stress under public compression.

Risk-Neutral Compression and the Geometry of Latent Market Stress

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Formulates risk-neutral compression: public option surfaces observe conditional projections of latent Perron loadings, with SPX/NDX evidence from matched options and realized-volatility data. Companion note: Gaussian Seams for Risk-Neutral Compression: A Volterra Source-Family Companion.

A Rough Theory of Markets Latent Contagion, Market Phases, and Market-Variance Risk

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Derives market roughness, Perron synchronization, jump-like coarse observations, and incomplete visible hedging from directed Gaussian Volterra contagion.

Detecting Latent Volatility Contagion A Projected Score Estimator for Rough Volatility Models

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Constructs a projected covariance-score estimator for source-screened latent contagion; Oxford-Man evidence yields dense directed maps read through intensity and stability.

Dynamic Observability of Latent Contagion Sequential Revelation and Observable Screening

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Distinguishes among finite-resolution evidence, oracle prediction, and observable-history prediction, showing how dynamic contagion can survive path tests while being screened in feasible forecasts.

Latent Volatility Contagion in Rough Volatility Models Spectral Thresholds and Detectability

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Separates option-skew visibility from path-law detectability for directed rough-volatility contagion, identifying the latent regime between the two Gaussian Volterra thresholds.

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