About The RoleWhat if your deep mathematical training could directly shape how AI understands and reasons about formal proof?
We're looking for mathematicians and formal verification specialists to translate advanced mathematical arguments into machine-verifiable Lean 4 proofs — working at the very edge of what modern proof assistants can express and automate.This is a fully remote, flexible contract role built for people who find genuine satisfaction in the precision and structural elegance of formal mathematics.
No AI background needed — just mastery of rigorous proof and hands-on experience with proof assistants.Organization: AlignerrType: Hourly ContractLocation: RemoteCommitment: ***** hours/weekWhat You'll DoTranslate informal mathematical proofs into clean, structured Lean 4 formalizations with an emphasis on correctness and clarityAnalyze proofs across domains — identifying gaps, hidden assumptions, and formalizable sub-structuresConstruct formalizations that test and push the boundaries of existing proof assistants, especially where automation failsCollaborate with AI researchers to design, evaluate, and refine formal verification strategiesDevelop readable, reproducible proof scripts aligned with mathematical best practices and Lean/Mathlib idiomsProvide guidance on proof decomposition, lemma selection, and structuring techniquesInvestigate where automated provers break down and clearly articulate the underlying reasonsFormalize classical results and uncover deeper patterns or generalizations implicit in the original mathematicsWho 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 systems — Lean 4 strongly preferredDeep enthusiasm for formal verification, proof assistants, and mechanized mathematicsAble to translate dense, informal mathematical arguments into precise, machine-checkable formalizationsSelf-motivated and comfortable working independently in an asynchronous environmentNice to HaveExperience with large-scale formalization projects such as MathlibFamiliarity with type theory, the Curry-Howard correspondence, and proof automation toolsExposure to theorem provers in settings where automated reasoning frequently fails or requires manual scaffoldingPrior experience with data annotation, data quality, or evaluation workflowsStrong communication skills for articulating formalization decisions, edge cases, and proof strategiesWhy Join UsWork alongside world-leading AI research teams on genuinely frontier problemsFully remote and flexible — work on your own schedule, from anywhereFreelance autonomy with the depth and structure of meaningful, intellectually demanding workGain direct exposure to how advanced LLMs are trained and evaluated on formal reasoning tasksContribute to a field where your expertise is rare, valued, and has lasting impactPotential for ongoing work and contract extension as recent projects launch
#J-*****-Ljbffr

📌 Formal Verification Scientist (Lean 4 & Mathlib) (New South Wales)
🏢 Alignerr
📍 New South Wales