Software Engineer, Computational Geometry (Autonomy)

We are looking for a Software Engineer with deep expertise in computational geometry to join our Motion Planning team. In this role, you’ll design and implement the geometric foundations that power mission-critical systems across our stack. You’ll be building a high-performance geometry library that is robust, mathematically rigorous, and optimized for modern hardware, enabling advanced applications in autonomy, simulation, and beyond.

What you’ll do:

• Build the core library: Design, implement, and maintain a library of computational geometry algorithms in modern C++.
• Develop primitives: Create and optimize fundamental operations, such as distances, intersections, projections, polygon operations, and convex hulls, for complex geometries.
• Maximize performance: Profile and optimize code for CPU architectures (especially x86), leveraging cache-efficient data layouts, and instruction-level parallelism.
• Ensure reliability: Establish a testing framework to guarantee numerical stability, robustness, and correctness at scale.
• Enable visibility: Develop tools for visualizing, debugging, and validating geometric computations.
• Collaborate & integrate: Partner with other engineering teams to design clean APIs and integrate the geometry library into larger systems.
• Innovate: Research and apply state-of-the-art methods from academia and industry to tackle novel geometric challenges.

What you’ll bring:

• Strong background in computational geometry, linear algebra, and applied mathematics (MS, PhD, or equivalent experience).
• 4+ years of software engineering experience, including meaningful experience in production C++.
• Deep grasp of CPU/GPU architecture, cache/memory layouts, SIMD, and parallel algorithms.
• A rigorous, test-driven mindset with high standards for software quality and mathematical correctness.
• Excellent collaboration and communication skills, able to work across teams and explain complex ideas clearly.
• Hands-on, proactive approach to problem-solving and performance tuning.

Bonus Points:

• GPU programming experience with CUDA or OpenCL.
• Experience with motion planning, trajectory optimization, prediction, or controls for autonomous systems.
• Proficiency in Python or TypeScript for prototyping, tooling, or bindings.
• Familiarity with SIMD instruction sets (AVX, SSE).
• Experience with libraries like Clipper or Boost.Geometry.
• Robotics/AV background (planning, mapping, SLAM, 3D graphics/CAD/physics sim).

What we offer:

• Competitive compensation package including equity and annual bonuses
• Excellent Medical, Dental, and Vision plans through Kaiser Permanente, Cigna, and  MetLife (including a medical plan with infertility benefits)
• MetLife Legal Services, Identity & Fraud Protection, Hospital Indemnity Insurance, Accident Insurance, & Critical Illness Insurance
• Flexible PTO, 10 paid holidays, and generous parental leave policies
• Our office is centrally located in Mountain View, CA
• Office perks: dog-friendly, free catered lunch, a fully stocked kitchen, and free EV charging
• Long Term Disability, Short Term Disability, Life Insurance
• Wellbeing Benefits - Headspace through Cigna, Calm through Kaiser, One Medical, Gympass, Spring Health through Cigna, Rula (mental health navigation) 
• Fidelity 401(k)
• Commuter, FSA, Dependent Care FSA, HSA
• Various incentive programs (referral bonuses, patent bonuses, etc.)