About The Role What if your deep mathematical training could directly shape how AI reasons about proofs — and push the boundaries of what machines can verify? We're looking for Formal Verification Scientists to translate advanced mathematical arguments into precise, machine-checkable Lean 4 formalizations, working at the very frontier of AI research and mechanized mathematics. This is a fully remote, flexible contract role for mathematicians who love rigorous proof construction and want their expertise to matter beyond the academy.

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 and correctness

Analyze both generic and domain-specific proofs — identifying gaps, hidden assumptions, and formalizable sub-structures

Push the limits of existing proof assistants, especially in areas where automated tools struggle or fail entirely

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

Develop highly 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

Investigate where automated provers break down and articulate why — complexity, missing lemmas, insufficient libraries, or deeper structural issues





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

Have a strong foundation in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematics

Have hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable proof assistants — Lean strongly preferred

Deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics

Able to translate dense, informal arguments into clean, structured formal proofs with precision and care A mathematically mature problem-solver who finds genuine satisfaction in resolving gaps that automated tools cannot yet 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 evaluation, or AI training workflows

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

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

Freelance autonomy with meaningful, intellectually stimulating work

Contribute to some of the most challenging open problems at the intersection of mathematics and AI

Potential for ongoing work and contract extension as recent projects launch

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