Remote Lean 4 Formal Verification Scientist (Mathlib)

Alignerr Corp.; Charlotte (AR); Remote; USD 83,000 - 152,000; Part time

Job summary

Alignerr is seeking a Formal Verification Scientist to translate advanced mathematical arguments into Lean 4 proofs, working with AI research teams on mechanized mathematics. This is a fully remote, hourly contract.

You will collaborate across disciplines, stress-test proof assistants, and produce readable scripts aligned with Mathlib idioms. Ideal candidates have a strong math background and experience with Lean, Coq, Isabelle/HOL, or Agda.

Qualifications

• Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field.
• Strong foundation in rigorous proof writing across algebra, analysis, topology, logic, or discrete mathematics.
• Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable proof assistants — Lean 4 strongly preferred.
• Deep enthusiasm for formal verification and the future of mechanized mathematics.
• Able to translate dense, informal arguments into structured, precise formal proofs.
• Mathematically mature and comfortable working at the boundary of what tools can currently express.

Responsibilities

• Translate informal mathematical proofs into clean, structured, machine-verifiable Lean 4 formalizations.
• Analyze proofs across domains — identifying gaps, hidden assumptions, and formalizable sub-structures.
• Construct formalizations that stress-test the limits of existing proof assistants, especially where automation fails.
• Collaborate with AI researchers to design and refine formal verification strategies and pipelines.
• Develop readable, reproducible proof scripts aligned with mathematical best practices and Mathlib idioms.
• Provide expert guidance on proof decomposition, lemma selection, and structuring techniques.
• Investigate where automated provers break down — and articulate exactly why.
• Create Lean proofs that surface deeper patterns and generalizations implicit in the original mathematics.

Skills

Mathematics

Formal reasoning

Proof writing

Translate informal arguments

Education

Master's degree in Mathematics/Logic/Theoretical CS

Tools

Lean

Coq

Isabelle/HOL

Agda

Job description

Alignerr is seeking a Formal Verification Scientist to translate advanced mathematical arguments into Lean 4 proofs, working with AI research teams on mechanized mathematics. This is a fully remote, hourly contract.

You will collaborate across disciplines, stress-test proof assistants, and produce readable scripts aligned with Mathlib idioms. Ideal candidates have a strong math background and experience with Lean, Coq, Isabelle/HOL, or Agda.