Job Overview
Remote Non-Commutative Financial Geometry Lead – Saudi Arabia
Location: Remote (Saudi Arabia-focused)
Employment Type: Full-time
Role Overview:
We are looking for an architect of non-commutative financial geometries, capable of modeling liquidity, risk, and asset flow as operator algebras on non-commutative manifolds. This position blends high-dimensional stochastic analysis, algebraic topology, and ontological financial modeling to encode regulatory compliance, market microstructure, and tokenized asset interactions into mathematically rigorous frameworks.
Key Responsibilities:
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Model multi-asset markets and cross-border transactions using C-algebras*, von Neumann algebras, and non-commutative probability spaces. 
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Develop quantum-inspired derivative pricing and risk models based on spectral triples and non-commutative metrics. 
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Implement predictive simulations of market shocks using operator-valued stochastic differential equations and non-commutative Monte Carlo methods. 
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Encode financial governance, liquidity flows, and compliance constraints in algebraic structures, ensuring mathematically provable consistency and invariance under network transformations. 
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Collaborate with blockchain engineers to translate abstract geometrical constructs into smart contract logic and digital asset frameworks. 
Qualifications & Experience:
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PhD in Non-Commutative Geometry, Mathematical Finance, Theoretical Physics, or a related field. 
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Proficiency in operator algebras, functional analysis, and stochastic processes on non-commutative spaces. 
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Experience with high-dimensional simulations and large-scale numerical methods for financial networks. 
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Knowledge of distributed ledger technologies, tokenomics, and AI-driven predictive finance. 
Why This Role Matters:
By encoding financial flows in non-commutative geometric structures, you create an unprecedented level of mathematical rigor, predictive stability, and systemic insight, enabling Saudi Arabia’s fintech networks to operate with provable coherence and resilience.
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