Mathematical Formalization Specialist (Lean / Formal Proof Systems) About The Role What if your deep mathematical training could directly shape how AI reasons, verifies, and understands formal logic? We're looking for expert mathematicians to translate advanced human-written proofs into machine-verifiable formalizations — working at the exact boundary of what up-to-date proof assistants can and cannot yet do. This is a fully remote, flexible contract role built for mathematicians who are passionate about rigorous proof construction and formal verification.

If you find satisfaction in taking a dense, elegant argument and expressing it with the precision a machine can verify, this role was made for you.

Organization: Alignerr

Type: Hourly Contract

Location: Remote

Commitment: Flexible What You'll Do Translate informal mathematical proofs into Lean (and related proof systems) with a focus on clarity, structure, and correctness

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

Construct formalizations that push the limits of existing proof assistants, especially where automation breaks down

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

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

Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models

Investigate and articulate why automated provers fail on specific problems — complexity, missing lemmas, insufficient libraries, or otherwise Who You Are Hold 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

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

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

Able to translate informal arguments into well-structured, machine-verifiable proofs with minimal scaffolding 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 proving contexts where automated reasoning frequently requires manual intervention

Strong communication skills for explaining formalization decisions, edge cases, and proof strategies to collaborators Sample Tasks Formalize classical proofs and compare machine-verifiable structures against textbook arguments

Identify where automated provers break down and document why — feeding directly into AI research

Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics Why Join Us Work at the frontier of AI research alongside leading labs advancing model reasoning and reliability

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

Freelance autonomy with the structure of meaningful, high-impact technical work

Your expertise directly shapes the next generation of AI formal reasoning capabilities

Potential for ongoing work and contract extension as new projects launch

📌 Mathematical Formalization Specialist (Vancouver)
🏢 Alignerr
📍 Vancouver