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 with hands-on Lean experience to formalize advanced mathematical arguments for cutting-edge AI research — translating human reasoning into precise, machine-verifiable knowledge. This is a fully remote, flexible contract role.

If you find satisfaction in taking a dense, elegant proof and expressing it in a form a machine can verify, this role was built for you.

Organization: Alignerr

Type: Hourly Contract

Location: Remote

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

Analyze generic and domain-specific proofs to identify gaps, hidden assumptions, and formalizable sub-structures

Push the boundaries of existing proof assistants — working precisely where automated tools struggle or fail

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

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

Advise on proof decomposition, lemma selection, and structuring techniques for formal models

Formalize classical proofs and compare machine-verifiable structures against textbook arguments

Investigate and articulate where and why automated provers break down — complexity, missing lemmas, library gaps

Construct Lean proofs that reveal 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 algebra, analysis, topology, logic, or discrete mathematics

Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or a comparable proof assistant — Lean strongly preferred

Deep enthusiasm for formal verification, proof assistants, and the future of mechanized mathematics

Able to translate informal mathematical arguments into clean, structured, machine-checkable formalizations A mathematically mature problem-solver who thrives at the frontier of what formal tools can express 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 where automated reasoning frequently fails or 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 at the frontier of formal verification alongside world-leading AI research teams

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

Freelance autonomy with the structure of meaningful, technically deep work

Gain exposure to advanced LLMs and the processes behind how they are trained

Contribute to research that is actively expanding what machines can understand and verify

Potential for ongoing work and contract extension as recent projects launch

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