Mathematical Formalization Specialist (Lean / Formal Proof Systems)

About The Role

What if your deep mathematical training could directly shape the future of AI reasoning? We're looking for mathematicians with hands-on experience in formal proof systems — especially Lean — to help push the boundaries of what machine-verifiable mathematics can express.

This is a fully remote, flexible contract role working alongside leading AI research labs. You'll tackle proofs that automated tools can't yet handle, helping map the true frontier of formal verification.

- Organization: Alignerr

- Type: Hourly Contract

- Location: Remote

- Commitment: Versátil

What You'll Do

- Translate informal mathematical proofs into Lean (and related proof systems) with a focus on clarity, structure, and machine-verifiable correctness

- Analyze proofs across domains — identifying hidden assumptions, gaps, and formalizable sub-structures

- Build formalizations that probe the limits of current proof assistants, especially where automation breaks down

- Collaborate with AI researchers to design and refine formal verification strategies

- Develop clean, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms

- Advise on proof decomposition, lemma selection, and structuring techniques for formal models

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 a comparable system — Lean strongly preferred

- Deep enthusiasm for formal verification, proof assistants, and the future of mechanized mathematics

- Ability to translate dense, informal arguments into clean, structured formal proofs

- Comfortable working independently on technically demanding, open-ended problems

Nice to Have

- Familiarity with type theory, the Curry–Howard correspondence, and proof automation tooling

- Experience contributing to large-scale formalization projects (e.g., mathlib)

- Exposure to theorem provers in contexts where automated reasoning frequently fails or requires manual scaffolding

- Strong communication skills for documenting formalization decisions, edge cases, and reasoning strategies

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, library gaps, etc.)

- Construct Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics

Why Join Us

- Work on some of the most intellectually demanding problems at the intersection of mathematics and AI

- Fully remote and flexible — work when and where it suits you

- Freelance autonomy with meaningful, well-defined task-based work

- Contribute directly to advancing the reliability and reasoning capability of frontier AI systems

- Potential for ongoing work and contract extension as new projects launch

📌 Mathematical Formalization Specialist (Buenos Aires)
🏢 Alignerr
📍 Buenos Aires