About The Role What if your deep mathematical training could directly shape how AI reasons about truth, proof, and knowledge? We're looking for Formal Verification Scientists to translate advanced human mathematics into machine-verifiable Lean proofs — working at the very frontier of what proof assistants can express, capture, and automate. This is a fully remote, flexible contract role designed for mathematicians who love precision, structural elegance, and the challenge of pushing tools to their limits.

Organization: Alignerr

Type: Hourly Contract

Location: Remote

Commitment: 10–40 hours/week What You'll Do Translate informal mathematical proofs into rigorous, machine-verifiable Lean 4 formalizations with an emphasis on clarity, structure, and correctness

Analyze generic and domain-specific 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

Collaborate with AI 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 expert guidance on proof decomposition, lemma selection, and structuring techniques

Investigate where automated provers break down and articulate precisely why — whether due to complexity, missing lemmas, or insufficient libraries





Reveal deeper patterns or generalizations implicit in classical mathematical arguments 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

Genuinely passionate about formal verification, proof assistants, and the future of mechanized mathematics

Able to take a dense, elegant human argument and express it in a form a machine can verify

Thrive working independently in an asynchronous, remote workplace Nice to Have Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools

Experience with large-scale formalization projects such as Mathlib

Exposure to theorem provers where automated reasoning frequently requires manual scaffolding

Prior experience with data annotation, data quality, or evaluation systems

Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies Why Join Us Work on cutting-edge AI projects alongside world-leading research labs

Fully remote and flexible — work when and where it suits you

Freelance autonomy with the structure of meaningful, intellectually rigorous work

Contribute directly to defining the frontier of what formal verification can achieve in AI

Exposure to advanced large language models and how they are trained on mathematical reasoning

Potential for ongoing work and contract extension as new projects launch

📌 Formal Verification Scientist (Lean 4 & Mathlib) (Delhi)
🏢 Alignerr
📍 Delhi