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 mathematicians with hands-on experience in formal proof systems to translate rigorous human arguments into machine-verifiable Lean 4 formalizations — pushing the boundary of what automated reasoning can express and verify.This is a fully remote, flexible contract role for mathematicians who love precision, structural elegance, and working at the cutting edge of mechanized mathematics.Organization: AlignerrType: Hourly ContractLocation: RemoteCommitment: 10–40 hours/weekWhat You'll DoTranslate informal mathematical proofs into clean, structured Lean 4 formalizations with an emphasis on clarity, correctness, and reproducibilityAnalyze proofs across domains — identifying hidden assumptions, logical gaps, and formalizable sub-structuresConstruct formalizations that test and extend the limits of existing proof assistants, especially where automated tools struggle or failInvestigate and articulate where and why automated provers break down — whether due to complexity, missing lemmas, or library gapsDevelop Lean proof scripts that reveal deeper patterns and generalizations implicit in the original mathematicsCollaborate with AI researchers to design and refine strategies for improving formal verification pipelinesProvide expert guidance on proof decomposition, lemma selection, and structuring techniques 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 (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable proof systems — Lean 4 strongly preferredAre deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematicsCan translate dense, informal mathematical arguments into precise, machine-verifiable formal structuresWork independently with strong self-direction and attention to detailNice to HaveExperience with large-scale formalization projects such as MathlibFamiliarity with type theory, the Curry-Howard correspondence, and proof automation toolsExposure to theorem provers where automated reasoning frequently requires manual scaffoldingPrior experience with data annotation, evaluation, or quality assessment workflowsStrong communication skills for documenting formalization decisions, edge cases, and reasoning strategiesWhy Join UsWork directly with world-leading AI research teams on genuinely frontier problems in formal mathematicsFully remote and flexible — structure your hours around your life, with 10–40 hours per weekFreelance autonomy with the intellectual depth of serious mathematical researchGain exposure to how advanced LLMs are trained and evaluated on formal reasoning tasksContribute to work that expands the boundary of what machines can understand and verifyPotential for ongoing work and contract extension as projects evolve