Job Description & How to Apply Below
This is a fully remote, flexible contract role built for mathematicians who are passionate about rigorous proof construction and formal verification. If you find satisfaction in taking a dense, elegant argument and expressing it with the precision a machine can verify, this role was made for you.
About
The Role Organization:
Alignerr
Type:
Hourly Contract
Location:
Remote
Commitment:
Flexible
What You'll Do Translate informal mathematical proofs into Lean (and related proof systems) with a focus on clarity, structure, and correctness
Analyze proofs across domains — identifying gaps, hidden assumptions, and formalizable sub-structures
Construct formalizations that push the limits of existing proof assistants, especially where automation breaks down
Collaborate with researchers to design and refine strategies for improving formal verification pipelines
Develop clean, readable, and reproducible proof scripts aligned with mathematical best practices
Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models
Investigate and articulate why automated provers fail on specific problems — complexity, missing lemmas, insufficient libraries, or otherwise
Who You Are Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
Deeply fluent in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematics
Have hands-on experience with Lean (Lean 3 or Lean
4) — or comparable systems like Coq, Isabelle/HOL, or Agda — with Lean strongly preferred
Genuinely enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics
Able to translate informal arguments into well-structured, machine-verifiable proofs with minimal scaffolding
Nice to Have Familiarity with type theory, the Curry–Howard correspondence, and proof automation tools
Experience contributing to large-scale formalization projects such as mathlib
Exposure to theorem proving contexts where automated reasoning frequently requires manual intervention
Strong communication skills for explaining formalization decisions, edge cases, and proof strategies to collaborators
Sample Tasks Formalize classical proofs and compare machine-verifiable structures against textbook arguments
Identify where automated provers break down and document why — feeding directly into AI research
Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics
Why Join Us Work at the frontier of AI research alongside leading labs advancing model reasoning and reliability
Fully remote and asynchronous — work when and where it suits you
Freelance autonomy with the structure of meaningful, high-impact technical work
Your expertise directly shapes the next generation of AI formal reasoning capabilities
Potential for ongoing work and contract extension as new projects launch
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