Job Title

About the Role What if your deep mathematical training could directly shape how AI understands and reasons about formal proof? Were looking for Formal Verification Scientists to translate sophisticated mathematical arguments into machine-verifiable Lean 4 proofspushing the boundaries of what automated reasoning can express, capture, and verify. This is a fully remote, flexible contract role built for mathematicians who thrive at the intersection of rigorous proof construction and cuttingedge AI research. If you find satisfaction in taking a dense, elegant argument and expressing it with precision a machine can verify, this role was made for you. Organization: Alignerr Type: Hourly Contract Location: Remote Commitment: 1040 hours/week What Youll Do Translate informal mathematical proofs into Lean 4 (and related proof systems) with a focus on clarity, correctness, and structural elegance Analyze domainspecific and general proofs to identify gaps, hidden assumptions, and formalizable substructures Construct formalizations that test the limits of existing proof assistantsespecially where tools struggle or fail entirely Collaborate with AI researchers to design, refine, and evaluate strategies for improving formal verification pipelines Develop readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms Provide expert guidance on proof decomposition, lemma selection, and structuring strategies for formal models Investigate where automated provers break down and articulate precisely whywhether due to complexity, missing lemmas, or insufficient library support Create Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics Who You Are Hold a Masters degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field Possess a strong foundation in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematics Have handson experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable systemsLean 4 strongly preferred Deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics Able to translate informal mathematical arguments into clean, structured, machineverifiable formal proofs Mathematically mature and comfortable working at the frontier of what proof assistants can currently handle Nice to Have Familiarity with type theory, the CurryHoward correspondence, and proof automation tools Experience contributing to largescale formalization projects such as Mathlib Exposure to theorem provers where automated reasoning frequently fails or requires substantial manual scaffolding Prior experience with data annotation, data quality evaluation, or AI training workflows Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies to crossdisciplinary collaborators Why Join Us Work on cuttingedge AI projects alongside worldleading research labs Fully remote and flexiblework when and where it suits you Freelance autonomy with the intellectual depth of meaningful, frontierlevel mathematical work Direct exposure to how advanced AI systems are trained and evaluated on formal reasoning Contribute to expanding the frontier of what machines can understand and verify Potential for ongoing work and contract extension as new projects launch #J-18808-Ljbffr