Researcher — Lean 4 & Formal Proof Systems (AI Training)

About The Role

What if your deep mathematical training could directly shape how AI understands and reasons about formal proof? We're looking for mathematicians and formal verification specialists to translate sophisticated human-written proofs into machine-verifiable Lean 4 formalizations — pushing the boundary of what proof assistants can express, capture, and automate.

This is a fully remote, adaptable contract role built for researchers who love rigor, structural precision, and working at the frontier of mathematics and computer science.

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

What You'll Do

Translate informal mathematical proofs into clean, well-structured Lean 4 formalizations with an emphasis on clarity and correctness
Analyze domain-specific and general proofs to identify gaps, hidden assumptions, and formalizable sub-structures
Construct formalizations that test the limits of existing proof assistants — especially where automated tools struggle or fail




Investigate breakdown points in automated provers and articulate precisely why they occur (complexity, missing lemmas, library gaps, etc.)
Develop highly readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms
Collaborate with researchers to design and refine strategies for improving formal verification pipelines
Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models
Formalize classical proofs and surface deeper patterns or generalizations implicit in the original mathematics

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,

📌 Researcher - Lean 4 & Formal Proof Systems (India)
🏢 Alignerr
📍 India