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Posted 17 Sept 2026

Mathematician – Foundations & Formal Proof (AI Training)

We're looking for mathematicians with a passion for rigorous proof and formal systems to help build the mathematical foundations that frontier AI depends on.

United States$170–$200 per hour
Hiring companyAlignerr
Application processN/ANo approved reviews yet
Work experienceN/A1 of 3 reviews needed

About the role

What if your deep knowledge of formal mathematics could directly shape how the most advanced AI systems in the world reason, prove, and think?

This is a fully remote, flexible contract role working at the intersection of pure mathematics, logic, and cutting-edge AI research. If you live and breathe formal proof — and especially if you know your way around Lean 4 — this is a rare opportunity to do deeply meaningful technical work on your own schedule.

Why Join Us

  • Work on frontier AI research alongside the world's leading AI labs and research teams.
  • Fully remote and flexible — structure your work around your life, not the other way around.
  • Freelance autonomy with the intellectual depth of meaningful, high-stakes technical work.
  • Contribute directly to formal mathematical libraries that will outlast any single project.
  • Gain rare exposure to how cutting-edge large language models are built and trained.
  • Potential for ongoing work and contract extension as new projects launch.

Responsibilities

  • Formalize advanced mathematical arguments and theorems in Lean 4, spanning a wide range of mathematical disciplines.
  • Contribute to the growth and quality of large-scale formal mathematical libraries, including mathlib.
  • Construct clean, readable, and well-structured formal proofs that translate informal mathematical reasoning into rigorous machine-checkable form.
  • Audit and verify existing formal proofs for correctness, completeness, and logical integrity.
  • Work at the frontier of AI research, helping train the next generation of mathematically capable language models.

Required skills

  • Can fluently translate informal mathematical ideas into structured, machine-verifiable formal proofs.
  • Self-motivated and comfortable working independently in a remote, asynchronous environment.

Preferred skills

  • Prior experience with proof verification, theorem proving, or mathematical formalization projects.
  • Familiarity with mathlib or other large-scale formal mathematical libraries.
  • Background in data annotation, data quality evaluation, or AI training workflows.
  • Experience across multiple mathematical domains — topology, algebra, analysis, logic, and beyond.

Experience and education

  • Hold a Master's degree or PhD in Mathematics or a closely related field.
  • Possess a strong background in rigorous mathematical proof writing and logical reasoning.
  • Have hands-on experience with formal proof assistants — Lean 4 strongly preferred.

Schedule details

10–40 hours per week.

Eligibility

Work arrangement: Fully remote

Eligible countries: United States

Compensation details

$170–$200 per hour.

More about the hiring companyAlignerr
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