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: https://talent.docs.mercor.com/welcome
• For any help or support, reach out to: support@mercor.com

PS: Our team reviews applications daily. Please complete your AI interview and application steps to be considered for this opportunity.