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About The Role
What if your mathematical expertise could directly shape how AI reasons about the hardest problems in mathematics? We're looking for Applied Formal Methods Researchers to translate complex human-written proofs into machine-verifiable formalizations — working at the very frontier of what automated reasoning can do.
This is a fully remote, flexible contract role designed for mathematicians who live and breathe rigorous proof construction and want to apply that expertise to one of the most exciting challenges in modern AI.
Organization: Alignerr
Type: Hourly Contract
Location: Remote
Commitment: 10–40 hours/week
What You'll Do
Translate informal mathematical proofs into precise, machine-verifiable formalizations in Lean 4 (and related proof systems)
Analyze proofs across domains — identifying hidden assumptions, logical gaps, and formalizable sub-structures
Construct formalizations that test and expose the limits of existing proof assistants
Collaborate with AI researchers to design and refine strategies for improving formal verification pipelines
Develop clean, readable, and reproducible proof scripts aligned with mathematical best practices
Guide proof decomposition strategies — including lemma selection, structuring techniques, and formal modeling decisions
Investigate where automated provers break down and articulate why — whether due to complexity, missing lemmas, or library gaps
Create Lean proofs that surface deeper patterns and generalizations implicit in the original mathematics
Who You Are
Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
Have a strong foundation 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), Coq, Isabelle/HOL, Agda, or comparable formal systems — Lean strongly preferred
Deeply enthusiastic about formal verification, proof assistants, and the long-term potential of mechanized mathematics
Able to translate dense, informal mathematical arguments into clean, structured formal proofs
Mathematically mature — you find genuine satisfaction in resolving gaps that automated tools cannot yet bridge
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 provers where automated reasoning frequently fails or requires extensive manual scaffolding
Prior experience with data annotation, data quality evaluation, or AI training workflows
Strong written communication skills for explaining formalization decisions, edge cases, and reasoning strategies
Why Join Us
Work on cutting-edge AI projects alongside world-leading research labs
Fully remote and flexible — work when and where it suits you
Freelance autonomy with the structure of meaningful, intellectually challenging work
Contribute directly to advancing the frontier of AI mathematical reasoning
Potential for ongoing work and contract extension as new projects launch
Global collaboration with a team at the intersection of mathematics and AI
Work arrangement
No
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