Mathematical Formalization Specialist (Lean / Formal Proof Systems) About The Role What if your mathematical expertise could directly shape the future of AI reasoning? We're looking for mathematicians with hands-on experience in formal proof systems to translate rigorous human-written arguments into machine-verifiable proofs — working at the very edge of what automated tools can do today. This is a fully remote, versátil contract role built for mathematicians who find beauty in precision and satisfaction in solving problems that automated systems simply cannot handle alone.

Organization: Alignerr

Type: Hourly Contract

Location: Remote

Commitment: Flexible — work on your own schedule What You'll Do Translate informal mathematical proofs into Lean (and related proof assistants) with a focus on clarity, structure, and correctness

Analyze domain-specific and general 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 and refine formal verification strategies and pipelines

Develop clean, readable, and reproducible proof scripts aligned with mathematical best practices

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

Investigate where automated provers break down and articulate why — complexity, missing lemmas, insufficient libraries, and beyond Who You Are Hold a Master's degree or higher in Mathematics, Logic,



Theoretical Computer Science, or a closely related field

Have a strong foundation in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematics

Have hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable formal systems — Lean strongly preferred

Are deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics

Can reliably translate dense informal arguments into clean, structured, machine-verifiable formalizations

Work independently with precision and consistency 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 in contexts where automated reasoning requires significant manual scaffolding

Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies to collaborators Why This Role Work on cutting-edge AI research projects alongside leading AI labs and researchers

Fully remote and flexible — structure your work around your life, not the other way around

Apply your deepest mathematical skills to problems that genuinely matter and that automated tools cannot yet solve

Contribute to the advancement of formal verification and AI reliability at the frontier of modern mathematics

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

📌 Mathematical Formalization Specialist (México)
🏢 Alignerr
📍 México