Applied Formal Methods Researcher (Lean 4)

About The RoleWhat if your deep mathematical training could directly shape how AI reasons, proves, and understands the most rigorous ideas in human knowledge? We're looking for Applied Formal Methods Researchers to translate advanced mathematical arguments into machine-verifiable Lean 4 proofs — working at the precise boundary of what automated reasoning can and cannot yet do. This is a fully remote, flexible contract role built for mathematicians who love precision, structural elegance, and the challenge of pushing proof assistants to their limits. Organization: Alignerr Type: Hourly Contract Location: Remote Commitment: 10–40 hours/week What You'll DoTranslate informal mathematical proofs into clean, structured, machine-verifiable Lean 4 formalizations Analyze proofs across domains — identifying gaps, hidden assumptions, and formalizable sub-structures Construct formalizations that deliberately test the boundaries of existing proof assistants, especially where tools struggle or fail Collaborate with AI researchers to design and refine formal verification strategies and pipelines Develop readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms Provide expert guidance on proof decomposition, lemma selection, and structuring techniques Investigate where automated provers break down and clearly articulate why — complexity, missing lemmas, library gaps, and beyond Formalize classical proofs and compare machine-verifiable structures against standard textbook arguments Who You AreMaster's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field Strong foundation in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematics Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or a comparable proof assistant — Lean 4 strongly preferred Able to translate dense, informal mathematical arguments into clean, structured formal proofs Genuinely enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics Nice to HaveFamiliarity with type theory, the Curry-Howard correspondence, and proof automation tools Experience contributing to large-scale formalization projects such as Mathlib Exposure to theorem provers where automated reasoning frequently fails or requires significant manual scaffolding Prior experience with data annotation, data quality evaluation, or AI training workflows Strong communication skills for explaining formalization decisions, edge cases, and proof strategies The Ideal CandidateYou're a mathematically mature problem-solver who finds deep satisfaction in taking a dense, elegant human argument and expressing it in a form a machine can verify. You appreciate precision, structural beauty, and the intellectual challenge of resolving gaps that automated tools cannot yet bridge. You're excited to work on problems that sit at the very frontier of what formal mathematics can express and automate. Why Join UsWork directly on cutting-edge AI research projects alongside world-leading research labs Fully remote and flexible — work when and where it suits you, on your own schedule Freelance autonomy with meaningful, intellectually stimulating work Contribute to a field that is actively redefining the boundaries of mathematical knowledge and AI capability Potential for ongoing work and contract extension as new projects launch#J-18808-Ljbffr