Alignerr
Formal Verification Scientist (Lean 4 & Mathlib)
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Formal Verification Scientist (Lean 4 & Mathlib)
About The Role
What if your deepest mathematical knowledge could directly shape how AI reasons about truth, proof, and logic? We're looking for Formal Verification Scientists to translate advanced, human-written mathematics into machine-verifiable Lean proofs — helping map the frontier of what AI can understand, verify, and automate.
This is a fully remote, flexible contract role for mathematicians who live and breathe rigorous proof and wish to work at the cutting edge of formal verification and AI research.
Organization: Alignerr Type: Hourly Contract Location: Remote Commitment: 10–40 hours/week
What You'll Do
- Translate informal mathematical proofs into clean, structured Lean 4 formalizations, prioritising clarity, correctness, and mathematical elegance
- Analyse proofs across domains like algebra, analysis, topology, logic, and beyond, identifying:
- Gaps
- Hidden assumptions
- Formalizable sub-structures
- Push the boundaries of existing proof assistants by constructing formalizations where automated tools struggle or fail
- Investigate pitfalls of automated provers, articulating:
- Missing lemmas
- Library gaps
- Complexity barriers that hinder verification
- Develop highly readable, reproducible proof scripts, aligned with Mathlib conventions and best practices
- Collaborate with AI researchers to design and refine formal verification pipelines
- Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics
- Provide expert guidance on:
- Proof decomposition
- Lemma selection
- Structuring strategies for formal models
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Who You Are
Requirements
- Hold a Master's degree or higher in:
- Mathematics
- Logic
- Theoretical Computer Science
- A closely related field
- Proven ability in rigorous proof writing, including:
- Algebra
- Analysis
- Topology
- Logic
- Discrete mathematics
- Hands-on, practical experience with proof assistants, preferably:
- Lean (Lean 3 or Lean 4) [preferred]
- Coq
- Isabelle/HOL
- Agda
- Deep passion for formal verification, proof assistants, and mechanised mathematics
- Strong aptitude for bridging informal mathematical intuition and precise formal structure
- Ability to thrive autonomously on deep, intellectually demanding problems
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Nice to Have
- Experience with large-scale formalisation projects, e.g., Mathlib
- Proficiency in type theory, Curry-Howard correspondence, and proof automation tools
- Exposure to theorem provers where automated reasoning frequently requires manual scaffolding
- Prior involvement in:
- Data annotation
- Evaluation systems
- Proof quality assessment
- Strong skills in communicating formalisation decisions, edge cases, and reasoning strategies
Why This Role
This isn’t routine annotation work: you’ll be operating at the frontier, converting dense, elegant mathematical arguments into machine-verifiable forms. Every proof formalized directly influences how future AI systems comprehend and reason about mathematics.
Key Benefits:
- Work on research-grade, high-impact problems at the intersection of mathematics and AI
- Full remote flexibility— tailor schedules to your deep-work rhythm
- Freelance autonomy paired with intellectual depth of a collaborative research environment
- Collaboration with world-class AI research teams and labs
- Ongoing project potential with opportunities for contract extension
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Jessica, London
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