At a Glance
- Tasks: Translate advanced mathematical proofs into machine-verifiable Lean proofs and collaborate on innovative AI projects.
- Company: Join Alignerr, a leader in formal verification and AI research.
- Benefits: Fully remote, flexible hours, and the chance to work on cutting-edge technology.
- Other info: Enjoy freelance autonomy and opportunities for ongoing projects.
- Why this job: Shape the future of AI with your mathematical expertise and make a real impact.
- Qualifications: Master's degree in Mathematics or related field; experience with Lean preferred.
The predicted salary is between 10 - 40 $ per hour.
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.
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 new projects launch.
Formal Verification Scientist in Montréal employer: Alignerr Corp.
Alignerr is an exceptional employer for electrical engineering professionals, offering the unique opportunity to work on groundbreaking AI projects from the comfort of your own home. With a fully remote and asynchronous work culture, you can enjoy the flexibility to design challenging problems and author gold-standard solutions while collaborating with a global team. The potential for ongoing work and contract extensions, combined with the chance to gain insider exposure to advanced AI model training, makes Alignerr a rewarding place to advance your career.
