About The Role

What if your deep mathematical training could directly shape how AI reasons, proves, and understands the most complex ideas in human knowledge? We're looking for Applied Formal Methods Researchers to formalize advanced mathematical proofs in Lean 4 — helping map the frontier of what machines can verify, and building the foundation for the next generation of AI reasoning systems.

This is a fully remote, adaptable contract role for mathematicians who are passionate about formal verification and want their expertise to matter beyond the page.

Organization: Alignerr
Type: Hourly Contract
Location: Remote
Commitment: 10–40 hours/week

What You'll Do

Translate informal mathematical proofs into precise, machine-verifiable formalizations in Lean 4
Analyze proofs across domains — identifying gaps, hidden assumptions, and formalizable substructures
Construct formalizations that test the limits of existing proof assistants, especially where automated tools struggle or fail




Collaborate with researchers to design and refine strategies for improving formal verification pipelines
Develop highly readable, reproducible proof scripts aligned with mathematical best practices
Provide guidance on proof decomposition, lemma selection, and structuring techniques for formal models
Formalize classical proofs and compare machine-verifiable structures against textbook arguments
Investigate where automated provers break down and articulate exactly 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
Possess 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 proof systems — Lean strongly preferred
Deeply enthusiastic about formal verification, proof assistants, and the

📌 Applied Formal Methods Researcher (India)
🏢 Alignerr
📍 India