Researcher — Lean 4 & Formal Proof Systems (AI Training)
About The Role
What if your deep mathematical training could directly shape how AI reasons about formal proofs — pushing the boundaries of what machines can verify, understand, and learn?
We're looking for mathematicians and formal verification specialists to translate sophisticated mathematical arguments into Lean 4, working on problems that sit beyond the current reach of automated provers. This isn't routine annotation work — it's frontier research at the intersection of mathematics and computer science, contributing directly to the development of cutting-edge AI systems.
This is a fully remote, versatile contract role. If you find beauty in rigorous proof structure and satisfaction in making a machine understand what only a human mathematician could express, this role was built for you.
Translate informal mathematical proofs into precise, machine-verifiable Lean 4 formalizations with an emphasis on clarity,
correctness, and structure
Analyze proofs across domains — identifying hidden assumptions, logical gaps, and formalizable sub-structures
Construct formalizations that stress-test the limits of existing proof assistants, especially where automated tools struggle or fail entirely
Investigate and articulate why automated provers break down — whether due to complexity, missing lemmas, or insufficient library coverage
Develop readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms
Collaborate with AI researchers to refine strategies for improving formal verification pipelines
Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models
Formalize classical proofs and compare machine-verifiable structures against standard textbook arguments
Surface deeper patterns or generalizations implicit in the origi