Mathematical Formalization Specialist

Mathematical Formalization Specialist (Lean / Formal Proof Systems)About The RoleWhat if your deep mathematical expertise could directly shape how AI reasons, verifies, and understands proof — at the frontier of what machines can currently do?We're looking for mathematicians with hands-on experience in formal proof systems to translate rigorous human-written arguments into machine-verifiable Lean proofs. This is rare, high-impact work that sits at the intersection of pure mathematics and cutting-edge AI research — and it's work that automated tools simply cannot do alone.This is a fully remote, flexible contract role. If you're a mathematician who gets excited by precision, structural elegance, and the challenge of making a machine understand a beautiful proof, this is the role for you.Organization: AlignerrType: Hourly ContractLocation: RemoteCommitment: Flexible — work on your own scheduleWhat You'll DoTranslate informal mathematical proofs into Lean (Lean 3 or Lean 4) with an emphasis on clarity, structure, and correctnessAnalyze domain-specific proofs to identify gaps, hidden assumptions, and formalizable sub-structuresConstruct formalizations that probe and test the limits of existing proof assistants — especially where automation breaks downCollaborate 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 structuring strategies for formal modelsWho You AreHold a Master's degree (or higher) in Mathematics, Logic, Theoretical Computer Science, or a closely related fieldHave a strong foundation in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematicsHave hands-on experience with Lean (strongly preferred), Coq, Isabelle/HOL, Agda, or comparable formal proof systemsPassionate about formal verification, proof assistants, and the future of mechanized mathematicsAble to translate informal mathematical arguments into clean, well-structured formal proofs independentlyNaturally precise, detail-oriented, and intellectually curious about the edge cases automated tools can't handleNice to HaveFamiliarity with type theory, the Curry–Howard correspondence, or proof automation techniquesExperience contributing to large-scale formalization projects such as mathlibExposure to theorem provers in contexts where manual scaffolding is requiredStrong ability to articulate formalization decisions, edge cases, and reasoning strategies in writingSample Work You Might DoFormalize classical theorems and compare machine-verifiable structures against standard textbook argumentsInvestigate where automated provers break down — and clearly articulate why (missing lemmas, insufficient libraries, complexity barriers, etc.)Construct Lean proofs that surface deeper patterns or implicit generalizations within the original mathematicsWhy Join UsWork on genuinely frontier problems — tasks where automated tools fail and human mathematical expertise is irreplaceableFully remote and flexible — structure your work around your scheduleContribute directly to AI research that advances the reliability and reasoning capabilities of next-generation modelsFreelance autonomy with the structure of meaningful, intellectually stimulating task-based workPotential for ongoing work and contract extension as new research projects launch