About The Role What if your deepest mathematical expertise could directly shape how AI understands and reasons about rigorous proof? We're looking for Formal Verification Scientists to translate advanced human mathematics into machine-verifiable Lean 4 formalizations — working at the exact boundary of what proof assistants can currently express and automate. This is a fully remote, versátil contract role for mathematicians who thrive on precision, structural elegance, and pushing the limits of what formal systems can do.

If you find genuine satisfaction in taking a dense, beautiful argument and expressing it in a form a machine can verify — this role was built for you.

Organization: Alignerr

Type: Hourly Contract

Location: Remote

Commitment: 10–40 hours/week What You'll Do Translate informal mathematical proofs into Lean 4 with an emphasis on clarity, correctness, and structural integrity

Analyze domain-specific and general proofs to identify gaps, hidden assumptions, and formalizable sub-structures

Construct formalizations that test the frontier of existing proof assistants — especially where automated tools struggle or fail

Collaborate with AI researchers to design, refine, and evaluate formal verification strategies and 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

Formalize classical proofs and compare machine-verifiable structures against textbook arguments

Investigate and articulate precisely where automated provers break down — and why





Create Lean proofs that reveal deeper patterns or 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

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 comparable proof systems — Lean strongly preferred

Deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics

Able to translate informal arguments into clean, structured formal proofs with precision

Naturally detail-oriented and methodical — you notice exactly where an argument breaks down Nice to Have Prior experience with data annotation, data quality, or evaluation systems

Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools

Experience with large-scale formalization projects such as Mathlib

Exposure to theorem provers where automated reasoning frequently requires manual scaffolding

Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies Why Join Us Work on cutting-edge AI projects alongside leading research labs and AI teams

Fully remote and flexible — work when and where it suits you

Freelance autonomy with the structure of meaningful, intellectually rigorous work

Contribute to the frontier of formal verification and mechanized mathematics in AI

Potential for ongoing work and contract extension as new projects launch

Direct exposure to how advanced LLMs are trained and evaluated on mathematical reasoning

📌 Formal Verification Scientist (Lean 4 & Mathlib) (Ciudad de México)
🏢 Alignerr
📍 Ciudad de México