Software Development Engineering

APPLE INC has the following available in Cupertino, California and various unanticipated locations throughout the USA. Design and develop global-scale navigation systems utilizing advanced graph theory and computational geometry to optimize route planning for various modes of transportation, including driving, walking, cycling, and public transit; Implement efficient mathematical models, such as geometric algorithms and data structures, to optimize route computation and ensure seamless scalability across millions of users worldwide; Lead the design and deployment of high-fidelity path construction systems that replicate real-world driving scenarios, requiring advanced geometric analysis to address intersections, tunnels, multi-lane roads, and other complex navigation challenges; Innovate scalable big-data solutions for processing and storing geospatial data, ensuring reliability and efficiency in global routing operations; Conduct performance optimization and validation of production-level algorithms to meet Apple's rigorous standards for accuracy, efficiency, and user experience; Engage in high-level code and design reviews to maintain quality standards, ensure system reliability, and promote innovation within the team; Drive the creation of patentable technologies, contributing to intellectual property that advances the state of routing and navigation technology; and Mentor team members and supporting ongoing research-focused initiatives to solve emerging challenges in navigation, transportation systems, and computational geometry. 40 hours/week. At Apple, base pay is one part of our total compensation package and is determined within a range. This provides the opportunity to progress as you grow and develop within a role. The base pay range for this role is between $226,138 - $272,100/yr and your base pay will depend on your skills, qualifications, experience, and location.

PAY & BENEFITS: Apple employees also have the opportunity to become an Apple shareholder through participation in Apple’s discretionary employee stock programs. Apple employees are eligible for discretionary restricted stock unit awards, and can purchase Apple stock at a discount if voluntarily participating in Apple’s Employee Stock Purchase Plan. You’ll also receive benefits including: Comprehensive medical and dental coverage, retirement benefits, a range of discounted products and free services, and for formal education related to advancing your career at Apple, reimbursement for certain educational expenses — including tuition. Additionally, this role might be eligible for discretionary bonuses or commission payments as well as relocation. Learn more about Apple Benefits: https://www.apple.com/careers/us/benefits.html.
Note: Apple benefit, compensation and employee stock programs are subject to eligibility requirements and other terms of the applicable plan or program.

PhD or foreign equivalent in Computer Science or related field.
Experience and/or education must include:

Utilizing graphs and data structures to design performant algorithms.
Making algorithms perform efficiently upon implementation in C++.
Writing complex, highly performant, and reliable solutions for three-dimensional mapping environments using C++.
Utilizing geometric algorithms and computational geometry.
Using Machine Learning principles to address geometric problems.
Implementing highly efficient routing algorithms.
Formalizing and reasoning about complex problems using mathematics.

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Apple accepts applications to this posting on an ongoing basis.