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Mathematical Formalization Specialist

Alignerr

General Contractor
Remote (Global) $50 – $150/hr June 26, 2026

Job description

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 the most complex proofs in existence? We're looking for mathematicians with hands-on experience in formal proof systems — especially Lean — to help push the boundaries of what machine-verifiable mathematics can express.

This is a fully remote, flexible contract role working alongside leading AI research labs. You'll be tackling problems that automated tools can't yet solve, operating at the true frontier of formal verification.

  • Organization: Alignerr
  • Type: Hourly Contract
  • Location: Remote
  • Commitment: Flexible — work on your own schedule

What You'll Do

  • Translate informal mathematical proofs into Lean (and related proof systems) with an emphasis on clarity, structure, and machine-verifiability
  • Analyze domain-specific proofs to identify gaps, hidden assumptions, and formalizable sub-structures
  • Construct formalizations that test and extend the limits of existing proof assistants — especially where tools struggle or fail
  • Collaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines
  • Develop readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms
  • Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models
  • Investigate where automated provers break down and articulate the underlying reasons — complexity, missing lemmas, insufficient libraries, and more

Who You Are

  • Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
  • Possess 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 a comparable formal proof system — Lean strongly preferred
  • Genuinely passionate about formal verification, proof assistants, and the future of mechanized mathematics
  • Able to take a dense, elegant human argument and express it in a form a machine can verify
  • Detail-oriented and precise — you find satisfaction in resolving the gaps that automated tools cannot 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 where automated reasoning frequently requires manual scaffolding
  • Strong written communication skills for explaining formalization decisions, edge cases, and reasoning strategies

Why Join Us

  • Work on genuinely cutting-edge AI and mathematics research alongside leading research labs
  • Fully remote and flexible — structure your work around your life, not the other way around
  • Freelance autonomy with the substance of meaningful, high-impact technical work
  • Contribute directly to advancing the frontier of formal verification and AI reasoning capabilities
  • 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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