Mathematical Formalization Specialist

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 to help push the boundaries of what machines can verify, understand, and reason about.

This is a fully remote, flexible contract role working at the intersection of advanced mathematics and cutting-edge AI research. If you find satisfaction in translating elegant human arguments into precise, machine-verifiable structures - and you thrive at the frontier where automated tools still fail - this role was built for you.

• Organization:
  Alignerr
• Type:
  Hourly Contract
• Location:
  
  Remote
• Commitment:
  Flexible

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

• 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 - with Lean strongly preferred
• Genuinely passionate about formal verification, proof assistants, and the future of mechanized mathematics
• Able to translate dense informal arguments into clean, structured, machine-verifiable proofs
• Self-directed and comfortable working independently on complex, open-ended tasks

• 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 proof strategies

• Work on genuinely frontier problems in AI and formal mathematics alongside leading research labs
• Fully remote and asynchronous - work when and where it suits you
• Freelance autonomy with the structure of meaningful, expert-level work
• Contribute directly to advancing AI reliability, mathematical reasoning, and high-integrity dataset creation
• Potential for ongoing work and contract extension as new projects launch