Applied Math Jobs in Irvine, CA (NOW HIRING)

Job Summary:
Anduril Industries is a defense technology company aiming to enhance military capabilities with advanced technology. The Tracking Software Engineer will develop 2D and 3D tracking algorithms for space situational awareness, collaborating closely with software teams to implement these algorithms into operational systems.
Responsibilities:
• Perform systems engineering and algorithm development tasks supporting space and missile defense tracking missions
• Design and implement advanced object tracking and state estimation algorithms, including track initiation, maintenance, correlation, and termination
• Develop and evaluate multi-target tracking and multi-sensor fusion approaches for EO/IR, RF, or hybrid sensor architectures
• Implement advanced data association techniques including JPDA (Joint Probabilistic Data Association), MHT (Multiple Hypothesis Tracking), nearest neighbor, and track-to-track fusion methods
• Apply and refine data association techniques, such as: nearest neighbor and probabilistic association; Joint Probabilistic Data Association (JPDA); Multiple Hypothesis Tracking (MHT); and track-to-track fusion methods
• Build physics-based models and conduct modeling and simulation including Monte Carlo analysis, recorded sensor playback, and hardware-in-the-loop testing to validate tracking performance
• Conduct performance analysis, trade studies, and simulation-based assessments of tracking robustness under challenging conditions (maneuvering targets, clutter, countermeasures, degraded sensing)
• Collaborate with software engineers to transition tracking algorithms from MATLAB/Python prototypes to production C/C++ code optimized for real-time operational systems
• Support the systems engineering lifecycle including requirements decomposition, trade studies on tracking approaches, verification and validation planning, and design reviews (SRR, PDR, CDR)
• Prepare technical documentation and briefings for design reviews (SRR, PDR, CDR) and customer engagements
Qualifications:
Required:
• Currently possesses and is able to maintain an active U.S. Secret security clearance
• Bachelor's degree or higher in Electrical Engineering, Computer Engineering, Aerospace Engineering, Applied Mathematics, Physics, Computer Science, or related technical field
• 5+ years of experience designing, implementing, and testing multi-target tracking algorithms for aerospace, defense, or autonomous systems
• Strong theoretical and practical experience with state estimation techniques, including Kalman Filters (EKF, UKF), multi-target tracking concepts, and Interacting Multiple Model (IMM) filters
• Experience developing tracking algorithms that handle track initiation, maintenance, correlation, and termination in operational systems
• Proficiency in algorithm development using MATLAB and/or Python with demonstrated experience transitioning algorithms to C++ for production deployment
• Experience with modeling, simulation, and testing workflows including Monte Carlo analysis, sensor data playback, or hardware-in-the-loop environments
• Ability to work collaboratively with software engineers, systems engineers, and test teams to integrate tracking algorithms into operational systems
Preferred:
• Advanced degree (MS or PhD) in Engineering, Physics, Applied Mathematics, or related technical field
• Experience in one or more of the following domains: missile defense or space systems; EO/IR or RF sensors; kill vehicles, interceptors, or countermeasures
• Experience handling challenging tracking scenarios including track fragmentation, ghost tracks, sensor outages, and high-clutter environments
• Familiarity with real-time system constraints, embedded systems, or edge compute optimization
• Demonstrated experience working within the systems engineering design cycle, including requirements decomposition and traceability, algorithm design and trade studies, verification and validation (V&V;), and documentation and design reviews (SRR, PDR, CDR)
• Experience with MBSE tools (Cameo, Rhapsody, DOORS)
Company:
Anduril Industries is a defense technology company that specializes in developing advanced autonomous systems to enhance national security. Founded in 2017, the company is headquartered in Costa Mesa, USA, with a team of 1001-5000 employees. The company is currently Late Stage.