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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: Flexible 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 adaptable — 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

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