Lean 4 Proof Engineer — Mathematical FormalizationAbout The RoleWhat if your deep mathematical training could directly shape the future of AI?
We're looking for expert mathematicians to formalize advanced proofs in Lean 4 — working at the exact boundary of what modern proof assistants can express, verify, and automate.This is a fully remote, flexible contract role built for mathematicians who find beauty in precision and satisfaction in making a machine understand a human argument.
No AI background required — just responsible mathematical depth and hands‐on experience with formal proof systems.Organization: AlignerrType: Hourly ContractLocation: RemoteCommitment: ***** hours/weekWhat You'll DoTranslate informal mathematical proofs into clean, structured, machine-verifiable Lean 4 formalizationsAnalyze proofs across domains — identifying hidden assumptions, gaps, and formalizable sub-structuresWork on problems that push beyond the current capabilities of automated provers, mapping the frontier of formal verificationCollaborate with researchers to design and refine strategies for improving formal verification pipelinesDevelop highly readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idiomsProvide expert guidance on proof decomposition, lemma selection, and structuring techniquesInvestigate where automated provers break down and articulate precisely why — complexity, missing lemmas, insufficient libraries,



and beyondFormalize classical proofs and compare machine-verifiable structures against their textbook counterpartsWho You AreMaster's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related fieldStrong foundation in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematicsHands‐on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable systems — Lean 4 strongly preferredDeep enthusiasm for formal verification, proof assistants, and mechanized mathematicsAble to translate informal arguments into clean, structured formal proofs with clarity and precisionNice to HaveFamiliarity with type theory, the Curry-Howard correspondence, and proof automation toolsExperience contributing to large-scale formalization projects such as MathlibExposure to theorem provers where automated reasoning frequently fails or requires extensive manual scaffoldingPrior experience with data annotation, evaluation systems, or AI training workflowsStrong communication skills for documenting formalization decisions, edge cases, and reasoning strategiesWhy Join UsWork at the cutting edge of AI research alongside leading labs and researchersFully remote and flexible — work when and where it suits youFreelance autonomy: set your own pace, own your schedule, and collaborate globallyContribute directly to how AI reasons about and understands advanced mathematicsPotential for contract extension as new projects launch
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📌 Lean 4 Proof Engineer - Mathematical Formalization (Adelaide)
🏢 Alignerr
📍 Adelaide