Lean Engineer, Formal Mathematics, Lean 4, Mathlib, Theorem Proving

This is a fully remote position, open to applicants in United States.

📋 Description

• Compose accurate and idiomatic Lean 4 statements and proofs that compile with the current version of mathlib.

• Engage in various fields including algebra, analysis, number theory, combinatorics, and logic.

• Formalize mathematical concepts presented in natural language, such as competition problems, textbook results, and advanced research lemmas.

• Evaluate AI-generated Lean statements and proofs for accuracy.

• Detect errors or instances where proofs may incorrectly substantiate a claim.

• Provide clear and detailed written feedback.

• Assist in establishing guidelines and rubrics to assess proof quality, statement accuracy, and adherence to mathlib standards.

• Collaborate with Lean engineers and research lab personnel to uphold consistent standards and enhance quality.

• Contribute to projects focused on training and refining AI systems.

⛳️ Requirements

• Practical experience in crafting formal proofs using Lean 4.

• Familiarity with mathlib and Lean 4 tactics, including the ability to locate and apply suitable lemmas.

• A solid foundation in proof-oriented mathematics, theoretical computer science, or logic, evidenced by a degree or research experience.

• Capability to convert written statements and proofs into accurate formal representations and verify proofs.

• Availability to commit at least 20 hours per week on weekdays consistently.

• Proficient written communication skills with the ability to articulate proof strategies and formalization decisions clearly.

• Preferred: Experience with tools such as Coq/Rocq, Isabelle, Agda, Haskell, Lean metaprogramming, or AI applications in mathematics.

• Candidates must not be H1-B or STEM OPT holders, as sponsorship or support is not available.

🏝️ Benefits

• Flexible part-time schedule requiring a minimum of 20 hours per week, with the potential to expand to 40 hours per week.

• Opportunity to work fully remotely with a self-determined schedule.

• W-2 employment with payroll, benefits, and compliance facilitated through Cincinnatus LLC or a suitable international entity.

• Weekly compensation via Stripe or Wise based on services provided.

• Competitive salary.

• Chance to collaborate with top-tier researchers.

• Opportunity to influence the development of the next generation of AI systems.

• Referral bonuses of up to $1,760 for each successful referral.