Lean Formalization Specialist for AI Reasoning (Remote)

Alignerr; United States; On-site; USD 83,000 - 165,000; Part time

Job summary

Alignerr is seeking mathematicians with hands-on experience in formal proof systems, especially Lean, to tackle challenging problems at the frontier of AI reasoning. This is a fully remote hourly contract role translating rigorous human arguments into machine-verifiable formalizations that extend what proof assistants can express.

You will translate proofs, analyze formalizable sub-structures, and collaborate with AI researchers to advance verification pipelines using Lean scripts and related

Qualifications

• Master's degree in Mathematics, Logic, or Theoretical CS.
• Strong proof-writing across algebra, analysis, topology, logic, or discrete math.
• Hands-on Lean (Lean 3/4) experience and familiarity with Coq/Isabelle/Agda.
• Ability to translate dense informal arguments into clean formal proofs.
• Genuine enthusiasm for formal verification and mechanized mathematics.

Responsibilities

• Translate informal proofs into Lean with emphasis on clarity and correctness.
• Analyze proofs across domains to identify gaps and formalizable sub-structures.
• Construct formalizations that test the limits of proof assistants, especially where automation struggles.
• Collaborate with AI researchers to improve formal verification pipelines.
• Develop reproducible Lean scripts aligned with best practices and proof idioms.
• Provide guidance on proof decomposition, lemma selection, and structuring techniques.

Skills

Lean

Formal proof systems

Mathematics

Proof writing

Discrete mathematics

Education

Master's or higher in Mathematics/Logic/Theoretical CS

Tools

Lean 3/4

Coq

Isabelle/HOL

Agda

Job description

Alignerr is seeking mathematicians with hands-on experience in formal proof systems, especially Lean, to tackle challenging problems at the frontier of AI reasoning. This is a fully remote hourly contract role translating rigorous human arguments into machine-verifiable formalizations that extend what proof assistants can express.

You will translate proofs, analyze formalizable sub-structures, and collaborate with AI researchers to advance verification pipelines using Lean scripts and related