Mathematical Formalization Specialist

Mathematical Formalization Specialist (Lean / Formal Proof Systems)About The RoleWhat if your deep mathematical training could directly shape the future of AI reasoning? We're looking for mathematicians with hands-on experience in formal proof systems — particularly Lean — to work on some of the most intellectually demanding problems in AI development today.This is a fully remote, flexible contract role working alongside leading AI research labs. You'll be translating rigorous human-written mathematics into machine-verifiable formal proofs, operating at the very edge of what proof assistants can currently express and automate.Organization: AlignerrType: Hourly ContractLocation: RemoteCommitment: FlexibleWhat You'll DoTranslate informal mathematical proofs into Lean (and related proof systems) with precision, clarity, and structural rigorAnalyze domain-specific proofs to identify gaps, hidden assumptions, and formalizable sub-structuresConstruct formalizations that probe the limits of existing proof assistants — especially where automation failsCollaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelinesDevelop readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idiomsProvide expert guidance on proof decomposition, lemma selection, and formal modeling strategiesInvestigate and articulate the reasons automated provers break down — whether due to complexity, missing lemmas, or library gapsMust-HaveWho 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 a comparable formal proof system — Lean strongly preferredDeep enthusiasm for formal verification, proof assistants, and the mechanization of mathematicsAbility to translate dense, informal arguments into clean, structured, machine-verifiable proofsNice 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 manual scaffoldingStrong communication skills for articulating formalization decisions, edge cases, and reasoning strategiesSample Work You Might DoFormalize classical proofs and compare machine-verifiable structures against textbook argumentsInvestigate where automated provers break down and document the underlying causesCreate Lean proofs that surface deeper patterns or generalizations implicit in the original mathematicsHelp map the frontier of what formal verification can express, capture, and eventually automateWhy Join UsWork on cutting-edge AI research projects alongside leading labs pushing the limits of machine reasoningFully remote and flexible — work on your own schedule, from anywhereFreelance autonomy with the depth and challenge of genuinely frontier-level mathematical workContribute to a field that is reshaping the reliability and rigor of AI at its corePotential for ongoing work and contract extension as new projects launch