Mercor
MercorVerified listing

Formal Mathematics Specialist (Lean / Coq / Isabelle)

80–130/hr
Remote · United States
part-time
15 openings
Posted November 10, 2026
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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

Formal MathematicsLean 4MathlibCoqRocqIsabelle/holTheorem ProvingFormal VerificationProof AssistantsFormal ProofsFormalized ProofsAlgebraAnalysisNumber TheoryCombinatoricsLogicMathematicsComputer ScienceRubric Design

How applying works

  1. 1. Pre-screen on NearSkill

    A quick application on NearSkill checks your fit against this role.

  2. 2. Finish on the employer’s site

    We hand you to Mercor’s official application page to complete the form.

  3. 3. Wait for a response

    The employer’s hiring team reviews applications and gets back to you.

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