Mathematician – Foundations & Formal Proof (AI Training)

About the role

We are seeking mathematicians with a passion for rigorous proof and formal systems to help build the mathematical foundations that frontier AI depends on. This fully remote, flexible contract role sits at the intersection of pure mathematics, logic, and cutting‑edge AI research. If you live and breathe formal proof—especially with Lean 4—this is a rare opportunity to do deeply meaningful technical work on your own schedule.

Organization: Alignerr | Type: Hourly contract | Location: Remote | Commitment: 10–40 hours/week

Responsibilities

• Formalize advanced mathematical arguments and theorems in Lean 4 across a wide range of 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 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.

Qualifications

• Master’s degree or PhD in Mathematics or a closely related field.
• Strong background in rigorous mathematical proof writing and logical reasoning.
• Hands‑on experience with formal proof assistants; Lean 4 strongly preferred.
• Ability to translate informal mathematical ideas into structured, machine‑verifiable formal proofs.
• Self‑motivated and comfortable working independently in a remote, asynchronous environment.

Preferred qualifications

• 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.

Benefits

• Work on frontier AI research alongside leading AI labs and research teams.
• Fully remote and flexible schedule—structure your work around your life.
• Freelance autonomy with the intellectual depth of 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.

Schedule

Commitment of 10–40 hours per week, with fully remote, flexible hours.