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 advanced mathematical arguments into machine-verifiable Lean 4 proofs — working at the very edge of what modern proof assistants can express and automate. This is a fully remote, flexible contract role built for people who find genuine satisfaction in the precision and structural elegance of formal mathematics.

No AI background needed — just mastery of rigorous proof and hands-on experience with proof assistants.

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 correctness and clarity

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

Construct formalizations that test and push the boundaries of existing proof assistants, especially where automation fails

Collaborate with AI researchers to design, evaluate, and refine formal verification strategies

Develop readable, reproducible proof scripts aligned with mathematical best practices and Lean/Mathlib idioms

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

Investigate where automated provers break down and clearly articulate the underlying reasons





Formalize classical results and uncover deeper patterns or generalizations implicit in the original mathematics Who You Are Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field

Strong 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 4 strongly preferred

Deep enthusiasm for formal verification, proof assistants, and mechanized mathematics

Able to translate dense, informal mathematical arguments into precise, machine-checkable formalizations

Self-motivated and comfortable working independently in an asynchronous workplace Nice to Have Experience with large-scale formalization projects such as Mathlib

Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools

Exposure to theorem provers in settings where automated reasoning frequently fails or requires manual scaffolding

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

Strong communication skills for articulating formalization decisions, edge cases, and proof strategies Why Join Us Work alongside world-leading AI research teams on genuinely frontier problems

Fully remote and flexible — work on your own schedule, from anywhere

Freelance autonomy with the depth and structure of meaningful, intellectually demanding work

Gain direct exposure to how advanced LLMs are trained and evaluated on formal reasoning tasks

Contribute to a field where your expertise is rare, valued, and has lasting impact

Potential for ongoing work and contract extension as new projects launch

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