Remote Lean 4 Formal Methods Researcher (Contract)

Alignerr Corp.

Wellington

Remote

NZD 83,000 - 165,000

Full time

21 hours ago

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Job summary

Alignerr is seeking Applied Formal Methods Researchers to translate advanced mathematical arguments into machine-verifiable Lean 4 formalizations — pushing the boundaries of what proof assistants can do. This is a fully remote, hourly contract role for mathematicians who love formal verification and enjoy turning rigorous human reasoning into machine-checkable form.

You will translate informal proofs, analyze gaps, stress-test proof systems, and collaborate to improve verification pipelines.

Qualifications

Master's degree or higher in Mathematics, Logic, or related field.
Strong background in formal reasoning and proof writing across algebra, analysis, topology, logic.
Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable proof assistant—Lean 4 strongly preferred.

Responsibilities

Translate informal mathematical proofs into precise, machine-verifiable Lean scripts and formalizations.
Analyze proofs across domains to identify gaps, assumptions, and formalizable sub-structures.
Construct formalizations that stress-test existing proof assistants where automation breaks down.
Investigate why automated provers fail—due to complexity, missing lemmas, or library limitations.
Develop clean, readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms.
Collaborate with researchers to design and refine strategies for improving formal verification pipelines.
Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models.
Formalize classical proofs and compare machine-verifiable structures against standard textbook arguments.
Uncover deeper patterns or generalizations in the original mathematics through the formalization process.