About The Role What if your deepest mathematical instincts could directly shape how AI understands and reasons about formal proof? We're looking for Formal Verification Scientists to translate complex, human-written mathematics into precise, machine-verifiable Lean proofs — working at the very edge of what proof assistants can express and automate. This is a fully remote, flexible contract role for mathematicians who love rigorous thinking and want their expertise to matter at the frontier of AI research.

Organization: Alignerr

Type: Hourly Contract

Location: Remote

Commitment: 10–40 hours/week What You'll Do Translate informal mathematical proofs into clean, structured Lean 4 formalizations with an emphasis on clarity, correctness, and reproducibility

Analyze proofs across domains — identifying hidden assumptions, gaps, and formalizable sub-structures

Push the boundaries of existing proof assistants by working on problems where automated tools struggle or fail

Collaborate with AI researchers to design and refine formal verification strategies and pipelines

Develop readable, well-structured proof scripts aligned with mathematical best practices and Lean idioms

Provide expert guidance on proof decomposition, lemma selection, and structuring techniques

Investigate where automated provers break down — and articulate precisely why

Create Lean proofs that surface deeper patterns or generalizations hidden in the original mathematics Who You Are Holds a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field





Robust foundation in rigorous proof writing 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 systems — Lean strongly preferred

Deeply enthusiastic 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

Mathematically mature — you find satisfaction in precision, structural beauty, and resolving gaps that automated tools cannot bridge Nice to Have 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 in settings where automated reasoning frequently fails or requires manual scaffolding

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

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

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

Freelance autonomy with the structure of meaningful, technically challenging work

Contribute to defining the frontier of what formal verification can express and automate

Exposure to advanced AI systems and how they're trained on mathematical reasoning

Potential for ongoing work and contract extension as new projects launch

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