Alignerr
Applied Formal Methods Researcher (Lean 4)
How your CV stacks up
Upload your CV to see how well it fits this job role
?%
Applied Formal Methods Researcher (Lean 4)
About The Role
What if your deep mathematical expertise could directly shape the future of AI reasoning? We're looking for Applied Formal Methods Researchers to translate rigorous mathematical arguments into machine-verifiable proofs in Lean 4 — working at the very edge of what automated reasoning can do today.
This is a fully remote, flexible contract role built for mathematicians who live and breathe formal verification. You'll work on proofs that push proof assistants to their limits, helping map the frontier of mechanized mathematics and contributing to some of the most technically demanding AI research happening right now.
Organization: Alignerr Type: Hourly Contract Location: Remote Commitment: 10–40 hours/week
What You'll Do
- Translate informal mathematical proofs into clean, structured, machine-verifiable formalizations in Lean 4
- Analyze proofs across domains — identifying gaps, hidden assumptions, and formalizable sub-structures
- Construct formalizations that test the boundaries of existing proof assistants, especially where automation breaks down
- Investigate and articulate why automated provers struggle or fail — complexity, missing lemmas, library gaps, and beyond
- Collaborate with researchers to design and refine strategies that improve 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 strategies for formal models
- Formalize classical proofs and compare machine-verifiable structures against standard textbook arguments
- Surface deeper patterns and generalizations that become visible only through formalization
Reasons to use Rodeo
Start with a chat, not a search bar
Grad scheme, placement, apprenticeship? Not sure what you want yet — that's fine. Your agent talks it through with you and turns "I have no idea" into a shortlist.
It searches the market for you
Every day your agent scans the market matching roles against what actually matters to you, not just keywords on a CV.
Only hits
No noise. No "maybe this fits." Just roles with a clear explanation of why they're right — and where to focus when applying.
Who You Are
- Holds a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
- Strong foundation in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematics
- Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or a comparable proof assistant — Lean strongly preferred
- Able to translate dense, informal mathematical arguments into precise, structured formal proofs
- Genuinely enthusiastic about formal verification, proof assistants, and the trajectory of mechanized mathematics
- Mathematically mature and comfortable working at the frontier — where automated tools fall short and human insight is essential
Get help with your application
Your very own career expert that helps elevate your application to the next level.
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 in settings where manual scaffolding is frequently required
- Prior experience with data annotation, evaluation systems, or data quality workflows
- Strong written communication skills for documenting formalization decisions, edge cases, and reasoning strategies
Why Join Us
- Work on cutting-edge AI projects alongside leading research labs
- Fully remote and flexible — work when and where it suits you
- Freelance autonomy with the structure of meaningful, technically demanding work
- Contribute directly to advancing the state of mechanized mathematics and AI reasoning
- Potential for ongoing work and contract extension as new projects launch
“It took my CV and asked me questions relevant to understanding what kind of jobs to suggest for me. Suggestions were almost perfect. Jobs were exactly what I’ve been looking for.”
Jessica, London
Skills