Lean 4 Proof Engineer - Mathematical Formalization

Miami

**Lean 4 Proof Engineer --- Mathematical Formalization (AI Training)** **About The Role** What if your deep mathematical training could directly shape the future of AI reasoning? We're looking for Lean 4 Proof Engineers to formalize advanced mathematical proofs for cutting-edge AI research --- working at the precise intersection where rigorous mathematics meets machine-verifiable logic. This is a fully remote, flexible contract role built for mathematicians who find genuine satisfaction in translating elegant human arguments into structures a machine can understand and verify. If you live for precision and thrive at the frontier of what formal proof assistants can do, this role was made for you. * Organization: Alignerr * Type: Hourly Contract * Location: Remote * Commitment: 10--40 hours/week **What You'll Do** * Translate informal mathematical proofs into Lean 4 (and related proof systems) with a focus on clarity, structure, and correctness * Analyze generic and domain-specific proofs --- identifying gaps, hidden assumptions, and formalizable sub-structures * Construct formalizations that push the limits of existing proof assistants, especially where tools struggle or fail * Collaborate with AI researchers to design, refine, and evaluate strategies for improving formal verification pipelines * Develop highly readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms * Guide proof decomposition, lemma selection, and structuring strategies for formal models * Formalize classical proofs and compare machine-verifiable structures against textbook arguments * Investigate where automated provers break down --- and articulate precisely why (complexity, missing lemmas, insufficient libraries, etc.) * Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics **Who You Are** * Master'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 comparable systems --- Lean strongly preferred * Deep enthusiasm for formal verification, proof assistants, and the future of mechanized mathematics * Ability to translate informal mathematical arguments into clean, well-structured formal proofs * Self-motivated and capable of working independently in an asynchronous, remote environment **Nice to Have** * Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools * Experience contributing to large-scale formalization projects (e.g., Mathlib) * Exposure to theorem provers where automated reasoning frequently fails or requires manual scaffolding * Prior experience with data annotation, data quality, or evaluation systems * Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies **Why Join Us** * Work directly on cutting-edge AI projects alongside world-leading research labs * Fully remote and async-friendly --- work when and where it suits you * Freelance autonomy with the structure of meaningful, intellectually stimulating work * Contribute to mapping the frontier of what formal verification can express, capture, and automate * Gain rare exposure to how advanced AI models are trained and evaluated at the highest level * Potential for ongoing work and contract extension as new projects launch