Formal Verification Scientist (Lean 4 & Mathlib)

About The RoleWhat if your deep mathematical training could directly shape how AI understands and reasons about formal proof? We're looking for Formal Verification Scientists to translate advanced mathematical arguments into machine-verifiable Lean 4 proofs — working at the very edge of what proof assistants can express, capture, and automate.This is a fully remote, flexible contract role for mathematicians who are passionate about formal verification and want their expertise to matter in cutting-edge AI research.Organization: AlignerrType: Hourly ContractLocation: RemoteCommitment: 10–40 hours/weekWhat You'll DoTranslate informal mathematical proofs into precise, machine-verifiable formalizations in Lean 4Analyze proofs across domains — identifying gaps, hidden assumptions, and formalizable sub-structuresPush the boundaries of existing proof assistants, especially where automated tools struggle or failDevelop highly readable, reproducible proof scripts aligned with mathematical best practices and Lean idiomsCollaborate with researchers to design and refine formal verification strategies for AI training pipelinesProvide expert guidance on proof decomposition, lemma selection, and structuring techniquesInvestigate where and why automated provers break down — articulating failure modes clearly and constructivelyCreate Lean proofs that surface deeper patterns or generalizations implicit in the original mathematicsWho You AreHold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related fieldPossess a strong foundation in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematicsHave hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or a comparable formal proof system — Lean 4 strongly preferredGenuinely enthusiastic about formal verification, proof assistants, and the future of mechanized mathematicsAble to translate dense, informal arguments into clean, structured, and correct formal proofsComfortable working independently on complex, open-ended problemsNice to HaveFamiliarity with type theory, the Curry-Howard correspondence, and proof automation techniquesExperience contributing to or working within large-scale formalization projects such as MathlibExposure to theorem provers in settings where automated reasoning frequently requires manual scaffoldingPrior experience with data annotation, evaluation systems, or AI training workflowsStrong communication skills for documenting formalization decisions, edge cases, and reasoning strategiesThe Ideal CandidateYou're a mathematically mature problem-solver who finds genuine satisfaction in taking a dense, elegant human argument and expressing it in a form a machine can verify. You appreciate precision and structural beauty, and you're energized — not frustrated — by the gaps that automated tools cannot yet bridge. You want your mathematical expertise to contribute to something that matters.Why Join UsWork at the frontier of formal verification and AI research alongside world-leading research labsFully remote and flexible — work when and where it suits youFreelance autonomy with the structure of meaningful, technically demanding workGain direct exposure to how advanced LLMs are trained and evaluated on mathematical reasoningContribute to a rapidly evolving field where your work has lasting impactPotential for ongoing work and contract extension as new projects launch