About The Role What if your deep mathematical training could directly shape how AI understands and reasons about formal proof? We're looking for Formal Verification Scientists to translate advanced mathematical arguments 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 live and breathe rigorous proof construction and are passionate about pushing the limits of formal verification.

Organization: Alignerr

Type: Hourly Contract

Location: Remote

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

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 automation breaks down or fails

Collaborate with researchers to design and refine strategies for improving formal verification pipelines

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

Provide expert guidance 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 automated provers fail — whether due to complexity, missing lemmas, or insufficient libraries





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

Deeply fluent in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematics

Experienced with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable systems — Lean is strongly preferred

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

Able to translate informal, human-written arguments into clean, precise, structured formal proofs A mathematically mature problem-solver who finds deep satisfaction in expressing elegant arguments in forms a machine can verify 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 requires manual scaffolding

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

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

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

Freelance autonomy with intellectually stimulating, high-impact work

Contribute directly to expanding the frontier of what formal verification can capture and automate

Potential for ongoing work and contract extension as current projects launch

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