Mathematical Formalization Specialist

Mathematical Formalization Specialist (Lean / Formal Proof Systems)About The RoleWhat if your deep mathematical expertise could directly shape how AI reasons, proves, and understands the world's most complex ideas? We're looking for mathematicians with hands-on experience in formal proof systems to help us map the frontier of machine-verifiable mathematics — working on problems that automated tools simply cannot yet solve on their own.This is a fully remote, flexible contract role built for mathematicians who are passionate about precision, formal verification, and the future of mechanized reasoning.Organization: AlignerrType: Hourly ContractLocation: RemoteCommitment: Flexible, task-basedWhat You'll DoTranslate informal mathematical proofs into Lean (and related proof systems) with an emphasis on clarity, structure, and correctnessAnalyze generic and domain-specific proofs — identifying gaps, hidden assumptions, and formalizable sub-structuresConstruct formalizations that test the limits of existing proof assistants, especially where automated tools struggle or failCollaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelinesDevelop highly readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idiomsProvide guidance on proof decomposition, lemma selection, and structuring techniques for formal modelsInvestigate where automated provers break down and articulate why — complexity, missing lemmas, library gaps, and moreMust-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 comparable proof systems — Lean strongly preferredGenuine enthusiasm for formal verification, proof assistants, and mechanized mathematicsAbility to translate dense, informal mathematical arguments into clean, structured formal 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 requires manual scaffoldingStrong communication skills for explaining formalization decisions, edge cases, and proof strategiesSample Work You Might DoFormalize classical proofs and compare machine-verifiable structures against standard textbook argumentsBuild Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematicsDocument where and why existing proof assistants fall short — and help advance the tools that will bridge those gapsWhy Join UsWork at the frontier of AI research alongside leading AI labs and research teamsFully remote and flexible — work on your own schedule, from anywhereFreelance autonomy with the structure of meaningful, intellectually stimulating tasksContribute to high-integrity AI datasets that advance the reliability and reasoning capability of frontier modelsPotential for ongoing work and contract extension as new projects launch