Theorem Proving Expert - Fully Remote | Up to $130/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: Formal Mathematics Specialist (Lean / Coq / Isabelle)
Type: Contract
Compensation: $80–$130/hour
Location: Remote

Role Responsibilities

• Guide research and engineering teams to close knowledge gaps and improve AI model performance in formal mathematics and theorem proving.
• Design challenging, domain-relevant tasks, and write accurate and well-structured solutions to formal mathematics and theorem proving problems.
• Evaluate formal mathematics and theorem proving tasks and solutions, providing clear, written technical feedback.
• Write, check, and repair formal proofs and statements in Lean, Coq, or Isabelle, and translate informal mathematics into formal statements.
• Develop rubrics to assess the correctness, faithfulness, and elegance of formalized statements and proofs.
• Collaborate with other subject matter experts to ensure consistency and accuracy in training data.

Qualifications

Must-Have

• Graduate-level training in mathematics, computer science, or logic (MS, PhD, or PhD candidate), or equivalent professional experience in formal verification.
• Hands-on experience writing proofs in Lean 4 (Mathlib), Coq (Rocq), Isabelle/HOL, or a comparable proof assistant, evidenced by contributions, projects, or publications.
• Strong background in proof-based mathematics (algebra, analysis, number theory, combinatorics, or logic).
• Demonstrable track record of mathematical or formal verification work.
• Ability to engage reliably for at least 20 hours/week during weekdays.
• Strong written communication skills and the ability to explain complex technical decisions clearly.

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.