Remote Formal Verification Scientist - Lean 4 & Mathlib

Alignerr Corp.; Boston (MA); Remote; USD 96,000 - 165,000; Part time

Job summary

Alignerr Corp. is seeking a Formal Verification Scientist to translate complex mathematical proofs into Lean 4 formalizations, pushing the boundaries of proof automation.

This fully remote hourly contract role invites mathematicians who love rigorous reasoning to work on challenging AI-oriented verification tasks. You'll translate and test proofs, collaborate with AI researchers, and produce readable, reproducible Lean scripts.

Qualifications

• Mastery of rigorous proof writing across algebra, analysis, topology, logic, or discrete math.
• Hands-on experience with Lean 3 or Lean 4, Coq, Isabelle/HOL, Agda, or comparable proof systems.
• Ability to translate informal mathematical arguments into clean, machine-verifiable formal proofs.

Responsibilities

• Translate informal mathematical proofs into Lean 4 (and related proof systems) with a focus on clarity, structure, and correctness
• Analyze generic and domain-specific proofs, identifying gaps, hidden assumptions, and formalizable sub-structures
• Construct formalizations that test and extend the limits of existing proof assistants — especially where tools struggle or fail
• Collaborate with AI researchers to design, refine, and evaluate strategies for improving formal verification pipelines
• Develop highly readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms
• Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models
• Investigate where automated provers break down and articulate why — complexity, missing lemmas, insufficient libraries, and beyond
• Create Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics

Skills

Lean 4

Coq

Isabelle/HOL

Agda

Formal verification

Mathematical reasoning

Education

Master's degree or higher in Mathematics or related field

Job description

Alignerr Corp. is seeking a Formal Verification Scientist to translate complex mathematical proofs into Lean 4 formalizations, pushing the boundaries of proof automation.

This fully remote hourly contract role invites mathematicians who love rigorous reasoning to work on challenging AI-oriented verification tasks. You'll translate and test proofs, collaborate with AI researchers, and produce readable, reproducible Lean scripts.