About this opportunity
Alignerr Corp. lists this Mathematical Formalization Specialist opportunity in seattle, Washington. Review the employer’s description below for duties, qualifications and application requirements.
Job description
Mathematical Formalization Specialist (Lean / Formal Proof Systems)
About The Role
What if your deep mathematical expertise could directly shape how AI reasons, proves, and understands the world's most complex ideas? We're looking for mathematicians with hands-on experience in formal proof systems to help us map the frontier of machine-verifiable mathematics — working on problems that automated tools simply cannot yet solve on their own.
This is a fully remote, flexible contract role built for mathematicians who are passionate about precision, formal verification, and the future of mechanized reasoning.
Organization: Alignerr
Type: Hourly Contract
Location: Remote
Commitment: Flexible, task-based
What You'll Do
Translate informal mathematical proofs into Lean (and related proof systems) with an emphasis on clarity, structure, and correctness
Analyze generic and domain-specific proofs — identifying gaps, hidden assumptions, and formalizable sub-structures
Construct formalizations that test the limits of existing proof assistants, especially where automated tools struggle or fail
Collaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines
Develop highly readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms
Provide guidance on proof decomposition, lemma selection, and structuring techniques for formal models
Investigate where automated provers break down and articulate why — complexity, missing lemmas, library gaps, and more
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 areas such as algebra, analysis, topology, logic, or discrete mathematics
Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable proof systems — Lean strongly preferred
Genuine enthusiasm for formal verification, proof assistants, and mechanized mathematics
Ability to translate dense, informal mathematical arguments into clean, structured formal proofs
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
Strong communication skills for explaining formalization decisions, edge cases, and proof strategies
Sample Work You Might Do
Formalize classical proofs and compare machine-verifiable structures against standard textbook arguments
Build Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics
Document where and why existing proof assistants fall short — and help advance the tools that will bridge those gaps
Why Join Us
Work at the frontier of AI research alongside leading AI labs and research teams
Fully remote and flexible — work on your own schedule, from anywhere
Freelance autonomy with the structure of meaningful, intellectually stimulating tasks
Contribute to high-integrity AI datasets that advance the reliability and reasoning capability of frontier models
Potential for ongoing work and contract extension as new projects launch
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Who can apply
Review the original listing for work authorization, qualifications and employer requirements.