About The Role

What if your deep mathematical training could directly shape how AI reasons about the hardest problems in mathematics? We're looking for Applied Formal Methods Researchers to formalize advanced mathematical proofs in Lean 4 — working at the exact boundary where human mathematical intuition meets machine-verifiable logic.

This is a fully remote, flexible contract role for mathematicians who are passionate about formal verification and excited to push the limits of what proof assistants can do.

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

What You'll Do

Translate informal mathematical proofs into Lean 4 (and related proof systems) with an emphasis on clarity, structure, and correctness
Analyze domain-specific and general proofs, identifying gaps, hidden assumptions, and formalizable sub-structures
Construct formalizations that test the limits of existing proof assistants — especially where automated tools struggle or fail
Collaborate with researchers to design, refine,



and evaluate strategies for improving formal verification pipelines
Develop highly 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
Investigate where automated provers break down and articulate why — complexity, missing lemmas, insufficient libraries, or otherwise
Reveal deeper patterns and generalizations implicit in the original mathematics through your formalizations

Who You Are

Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
Solid foundation in rigorous proof writing and mathematical reasoning 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 comparable proof systems — Lean 4 strongly preferred
Able to tr

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