
Formal Mathematics Specialist (Lean / Coq / Isabelle)
Listing checked November 11, 2026 · pay as published by Mercor
Key details
- Pay
- $80–130/hr
- Location
- Remote · United StatesUnited States
- Job type
- part-time
- Openings
- 15
- Posted
- November 10, 2026
Overview
Formal Mathematics Specialists with proof-assistant experience join an AI lab's GenAI team through Cincinnatus LLC, which handles W-2 employment and places you inside the client team. Your work centers on Lean 4, Coq (Rocq), and Isabelle/HOL: writing formal proofs, translating informal mathematics into formal statements, and repairing proofs when checks fail. You also review formal math tasks, build rubrics, and give written technical feedback that shapes graduate-level training data. The engagement runs part-time and remote, with at least 20 weekday hours each week.
What You'll Do6
- Guide research and engineering teams as they close gaps in model knowledge of formal mathematics, theorem proving, formalized proofs, and graduate-level math.
- Design difficult, domain-specific tasks and write accurate, well-structured solutions for formal math and theorem-proving problems.
- Evaluate formal math tasks and solutions, then deliver written technical feedback that explains your reasoning.
- Write, check, and repair formal proofs and statements in Lean, Coq, or Isabelle, and turn informal math into formal statements.
- Create rubrics that measure correctness, faithfulness, and elegance in formalized statements and proofs.
- Coordinate with other subject matter experts to keep training data consistent and accurate.
Requirements6
- Graduate-level training in mathematics, computer science, or logic (MS, PhD, or PhD candidate), or comparable professional experience in formal verification.
- Hands-on proof-writing work in Lean 4 (Mathlib), Coq (Rocq), Isabelle/HOL, or another proof assistant, shown through projects, contributions, or publications.
- Solid background in proof-based mathematics such as algebra, analysis, number theory, combinatorics, or logic.
- A record of mathematical or formal verification work.
- Availability for at least 20 hours per week on weekdays.
- Strong written communication and the ability to explain complex technical choices in plain terms.
Who Should Apply
Mathematicians and logicians with graduate training and direct Lean, Coq, or Isabelle proof experience fit this role. The work suits someone who can commit 20 weekday hours, write precise technical feedback, and keep formalization standards consistent across a team.
Salary Insight
Pay runs $80.00 to $130.00 per hour. That range matches specialized theorem-proving and formal verification skills, and the part-time schedule means weekly earnings depend on the hours you agree to work.
Required skills
How applying works
1. Pre-screen on NearSkill
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2. Finish on the employer’s site
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3. Wait for a response
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