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Software Engineer, Computational Geometry

United States, Mountain View 150000.00 - 220000.00 USD / Year · Job Posted December 09, 2025
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Job Description

We are looking for a Software Engineer with deep expertise in computational geometry to join our core algorithms 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.

Job Responsibility

  • 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

Requirements

  • Strong background in computational geometry, linear algebra, and applied mathematics (MS, PhD, or equivalent experience)
  • Expert-level modern C++ skills with a track record of production-quality, high-performance libraries
  • 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

Nice to have

  • GPU programming experience with CUDA or OpenCL
  • 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 biannual bonuses
  • Excellent Medical, Dental, and Vision plans through Kaiser Permanente, Anthem, and Guardian (including a medical plan with infertility benefits)
  • Flexible PTO and generous parental leave policies
  • 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, One Medical, Gympass, Spring Health
  • Fidelity 401(k)
  • Commuter, FSA, Dependent Care FSA, HSA
  • Various incentive programs (referral bonuses, patent bonuses, etc.)

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