Formal Mathematician - Fully Remote | Up to $110/hr Part-time

About the job Mercor connects elite creative and technical talent with leading AI research labs. Headquartered in San Francisco, our investors include Benchmark , General Catalyst , Peter Thiel , Adam D'Angelo , Larry Summers , and Jack Dorsey . Position: Lean Engineer, Formal Mathematics (Lean 4, Mathlib, Theorem Proving) Type: Contract Compensation: $90–$110/hour Location: Remote Commitment: 20–40 hours/week Role Responsibilities • Write correct, idiomatic Lean 4 statements and proofs that compile against current mathlib . Cover areas such as algebra, analysis, number theory, combinatorics, and logic. • Formalize natural-language mathematics from competition problems and textbook results to research-level lemmas. Ensure the formal statement matches the original. • Review AI-generated Lean statements and proofs. Identify failures or incorrect proofs and provide clear, specific written feedback. • Help define guidelines and rubrics for proof quality, statement fidelity, and mathlib conventions. • Collaborate with other Lean engineers and the lab's researchers to maintain consistent standards and elevate quality. Qualifications Must-Have • Hands-on experience writing formal proofs in Lean 4 . Examples include mathlib contributions, a formalization project, or a Lean library or tool. • Comfort with mathlib and Lean 4 tactics. Ability to find and use the right lemmas. • Strong background in proof-based mathematics, theoretical computer science, or logic through a degree or research record. • Ability to turn a written statement and proof into a correct formal statement and a proof that checks. • Engage reliably for at least 20 hours/week during weekdays. • Clear written communication and ability to explain proof strategy and formalization choices precisely. Preferred • Experience with other proof assistants or dependently typed languages ( Coq/Rocq , Isabelle , Agda , Haskell ). • Experience with Lean metaprogramming or AI-for-math work such as LLM provers , Lean agent environments, or benchmarks like miniF2F , ProofNet , or PutnamBench . Compensation & Legal • W-2 employment with Cincinnatus LLC . • Equal Employment Opportunity employer. Application Process (Takes 20–30 mins to complete) • Upload resume • AI interview based on your resume • Submit form Resources & Support • For details about the interview process and platform information, please check: • For any help or support, reach out to: PS: Our team reviews applications daily. Please complete your AI interview and application steps to be considered for this opportunity. Originally posted on Himalayas