Mathematician – Foundations & Formal Proof (AI Training)
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? 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.
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.
What You'll Do
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
Who You Are
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
Can fluently translate informal mathematical ideas into structured, machine-verifiable formal proofs
Self-motivated and comfortable working independently in a remote, asynchronous environment
Nice to Have
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
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