Job Title

Help shape the mathematical core of next-generation intelligent systems from strategic vision to edge execution. Location: Remote / Hybrid / On-site (flexible based on candidate profile) Security Clearance: Eligibility Preferred Employment Type: Full-Time / Contract-Based (initial 1218 months, with extension options) About the Role We are looking for an exceptional Applied Mathematician to lead the algorithmic design of a groundbreaking AI system focused on image recognition and intelligent reasoning for military applications. This role is critical to the development of a next-generation AI framework based on successive approximation, heuristics, and computational geometry, enabling real-time decision-making in mission-critical environments. You will work closely with AI/ML engineers, system architects, and infrastructure specialists to convert theoretical models into operational capabilities for perception systems, situational awareness, trajectory modeling, sensor fusion, and autonomous behaviors. Key Responsibilities Design novel algorithms grounded in successive approximation, numerical analysis, and iterative convergence. Apply computational geometry, discrete optimization, and probabilistic reasoning to enhance computer vision and AI reasoning pipelines. Define and formalize convergence strategies, heuristic frameworks, and evaluation metrics tailored to specific military scenarios (e.g., object detection, trajectory generation, RF/thermal fusion). Collaborate with AI/ML engineers to integrate mathematical models into machine learning workflows and inference systems. Develop simulation environments to test and refine mathematical models under uncertainty, noise, and adversarial conditions. Provide mathematical oversight for AI systems operating on edge devices, UAVs, satellite imaging platforms, and real-time targeting systems. Document mathematical theory, modeling assumptions, and architectural blueprints for research continuity and IP protection. Required Qualifications PhD in Mathematics, Applied Mathematics, Computational Mathematics, or equivalent field. 5+ years of experience applying mathematics in AI, defense, simulation, or high-performance computing systems. Deep understanding of: Successive approximation, fixed-point theory, and error convergence Optimization theory and discrete math Computational geometry, matrix algebra, and vector space transformations Probabilistic models (e.g., Bayesian inference, MCMC, statistical learning) Proficiency in mathematical programming tools such as Python (NumPy, SciPy), MATLAB, Mathematica, or Julia. Preferred Qualifications Experience in AI/ML algorithm design (e.g., custom loss functions, optimization kernels). Familiarity with computer vision algorithms and geometric modeling for: Object detection and classification SLAM, spatial segmentation, 3D modeling Exposure to reinforcement learning or heuristic-guided search models. Knowledge of adversarial reasoning, anomaly detection, and signal processing for real-time inference systems. Publications, patents, or peer-reviewed contributions in applied mathematics or AI modeling. Understanding of security-sensitive environments and military-grade system constraints. What We Offer Opportunity to work on cutting-edge national security and defense AI initiatives. A founding-level position with architectural and scientific influence. Competitive compensation and flexible work structure. Collaboration with an elite, multidisciplinary team across AI, defense tech, and R&D. Potential for long-term leadership in building a modular AI platform applicable to defense, aerospace, and critical infrastructure. Application Instructions Please send the following materials to [] : CV or Resume (with publication list if applicable) Statement of interest (12 paragraphs on your mathematical background and how it aligns with defense AI challenges) (Optional) Samples of mathematical models, publications, or code