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Lean 4 Proof Engineer - Mathematical Formalization

Alignerr

AI & Data Training Contractor
Remote (Global) $170 – $200/hr May 25, 2026

Job description

Lean 4 Proof Engineer — Mathematical Formalization

About the Role

What if your deep mathematical training could directly shape how the world's most advanced AI systems reason about proofs? We're looking for Lean 4 Proof Engineers to translate rigorous mathematical arguments into machine-verifiable formalizations — working at the very edge of what modern proof assistants can express and automate.

This is a fully remote, flexible contract role designed for mathematicians who care about precision, structure, and the future of mechanized mathematics.

  • 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 a focus on correctness, clarity, and reproducibility
  • Analyze proofs across domains to identify hidden assumptions, logical gaps, and formalizable substructures
  • Construct formalizations that probe and stress-test the limits of existing proof assistants
  • Investigate where automated provers break down — and articulate precisely why (complexity, missing lemmas, insufficient libraries, etc.)
  • Collaborate with AI researchers to design and refine formal verification pipelines
  • Apply expert judgment in proof decomposition, lemma selection, and structuring strategies
  • Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics
  • Compare machine-verifiable structures against classical textbook arguments

Who You Are

  • Holder of a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
  • Rigorous proof writer with deep experience across areas such as algebra, analysis, topology, logic, or discrete mathematics
  • Hands-on practitioner with Lean (Lean 3 or Lean 4), with strong preference for Lean 4 experience
  • Genuinely excited about formal verification, proof assistants, and the frontier of mechanized mathematics
  • Able to take dense, informal mathematical arguments and render them into precise, structured formal proofs
  • Self-directed and comfortable working independently in an asynchronous environment

Nice to Have

  • Familiarity with Coq, Isabelle/HOL, Agda, or other interactive theorem provers
  • Knowledge of type theory, the Curry-Howard correspondence, and proof automation tools
  • Experience contributing to large-scale formalization projects such as Mathlib
  • Exposure to contexts where automated reasoning regularly fails or requires significant manual scaffolding
  • Prior experience with data annotation, evaluation systems, or AI training pipelines
  • Strong written communication skills for documenting formalization decisions, edge cases, and proof strategies

Why Join Us

  • Work directly with leading AI research labs on some of the most technically demanding problems in formal mathematics
  • Fully remote and flexible — structure your hours to fit your life
  • Freelance autonomy with the depth and purpose of meaningful, frontier-level work
  • Rare opportunity to work where mathematics, computer science, and AI training genuinely intersect
  • Potential for ongoing work and contract extension as new projects launch
Apply now

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Frequently asked questions

Is Alignerr legitimate?
Yes, Alignerr is a legitimate company listed on RemoWork. We verify all companies on our platform. However, we always recommend doing your own research before sharing personal information or starting work. Check reviews from other users and visit the company's official website for the most up-to-date information.
How do I get started with Alignerr?
To get started, visit Alignerr's official website and look for their careers or sign-up page. Create an account, complete your profile with relevant skills and experience, and apply for available positions or projects. Some companies may require you to pass a qualification test or assessment before you can start working.
Does Alignerr offer remote work?
Yes, Alignerr offers remote work opportunities. Most tasks and positions can be completed from anywhere with a reliable internet connection and a computer or smartphone. Specific location requirements may vary by project or role, so check individual listings for details.
How does Alignerr pay its workers?
Payment methods and schedules vary. Common payment options include PayPal, bank transfers, Payoneer, and other digital payment platforms. Visit Alignerr's official website or check their payment/FAQ section for specific details about payment methods, minimum thresholds, and payout schedules.
What skills do I need to work with Alignerr?
Required skills vary by role and project. Generally, you'll need a reliable internet connection, basic computer literacy, strong attention to detail, and good communication skills. Some positions may require specialized expertise, language proficiency, or technical qualifications. Check individual job listings for specific requirements.
What type of AI work does Alignerr focus on?
Alignerr specializes in AI alignment and model evaluation tasks. Contributors help ensure AI models produce safe, accurate, and helpful outputs by evaluating model responses, identifying errors or biases, and providing human feedback that improves AI behavior and alignment with human values.
Do I need technical AI knowledge to work with Alignerr?
While technical AI knowledge is a plus, many Alignerr tasks are designed for non-technical contributors with strong critical thinking, writing, and analytical skills. The ability to evaluate content quality, identify factual errors, and provide clear feedback is more important than programming expertise for most roles.
How does Alignerr ensure quality in its work?
Alignerr implements multi-layered quality assurance including calibration tasks, consensus scoring between annotators, regular quality audits, and feedback loops. Contributors are expected to maintain high accuracy scores, and ongoing training helps maintain consistent quality standards.
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