Mathematical Formalization Specialist (Lean / Formal Proof Systems)

* Translate informal mathematical proofs into Lean (and related proof systems) with an emphasis on clarity, structure, and correctness * Analyze proofs across mathematical domains — identifying gaps, hidden assumptions, and formalizable sub-structures * Construct formalizations that test the limits of existing proof assistants, especially where automated tools struggle or fail * Collaborate with AI researchers to design, refine, and evaluate strategies for improving formal verification pipelines * Develop clean, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms * Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models

Sample Work You Might Do

* 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.) * Write Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics

Who You Are

Required:

* 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 formal proof systems — Lean strongly preferred * Genuine enthusiasm for formal verification, proof assistants, and the future of mechanized mathematics * Ability to translate dense, informal mathematical arguments into clean, structured formal proofs

Nice to Have:

* Familiarity 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 manual scaffolding * Strong communication skills for articulating formalization decisions, edge cases, and reasoning strategies

The Ideal Candidate

You're a mathematically mature problem-solver who finds genuine satisfaction in taking a dense, elegant argument and expressing it in a form a machine can understand. You appreciate precision, structural beauty, and the intellectual challenge of resolving gaps that automated tools cannot yet bridge. You don't just do mathematics — you think carefully about how mathematics is done.

Why Join Us

* Work on cutting-edge AI research projects alongside leading research labs * Fully remote and flexible — work when and where it suits you * Freelance autonomy with the structure of meaningful, intellectually stimulating work * Contribute directly to advancing the reliability and reasoning capabilities of next-generation AI * Potential for ongoing work and contract extension as new projects launch