**Role & seniority: ** Formal Verification Scientist (mathematician-focused); senior level implied by Master’s+ requirement (10–40 hrs/week contract)

**Stack/tools: ** Lean 4 (strongly preferred); also acceptable Lean 3, Coq, Isabelle/HOL, Agda; proof automation/provers; collaboration with AI researchers

**Top 3 responsibilities: **

Translate informal proofs into correct, readable Lean 4 formalizations
Identify hidden assumptions/gaps and formalize key sub-structures across math domains
Improve/formalize workflows where automated provers struggle; develop verification strategies/pipelines
Must-have skills:
- Master’s (or higher) in Mathematics/Logic/TCS or related field
- Strong rigorous proof-writing across areas (e.g., algebra, analysis, topology, logic, discrete math)
- Hands-on theorem proving experience (Lean strongly preferred)
- Ability to decompose arguments and express machine-verifiable proofs with correct Lean idioms/structure
Nice-to-haves:
- Type theory, Curry–Howard, proof automation tooling familiarity
- Contributions to large formalization efforts (e.g., Mathlib)
- Experience with manual scaffolding in automation-unfriendly settings
- Experience with data annotation/quality or AI evaluation; strong communication for edge cases/decisions
Location & work type: Fully remote, flexible hourly contract, 10–40 hrs/week (Alignerr)

Full Description

About The Role

What if your deepest mathematical instincts could directly shape how AI understands and reasons about formal proof? We're looking for Formal Verification Scientists to translate complex, human-written mathematics into precise, machine-verifiable Lean proofs — working at the very edge of what proof assistants can express and automate.

This is a fully remote, flexible contract role for mathematicians who love rigorous thinking and want their expertise to matter at the frontier of 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 with an emphasis on clarity, correctness, and reproducibility Analyze proofs across domains — identifying hidden assumptions, gaps, and formalizable sub-structures Push the boundaries of existing proof assistants by working on problems where automated tools struggle or fail Collaborate with AI researchers to design and refine formal verification strategies and pipelines Develop readable, well-structured proof scripts aligned with mathematical best practices and Lean idioms Provide expert guidance on proof decomposition, lemma selection, and structuring techniques Investigate where automated provers break down — and articulate precisely why Create Lean proofs that surface deeper patterns or generalizations hidden in the original mathematics

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 comparable systems — Lean strongly preferred Deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics Able to take a dense, elegant human argument and express it in a form a machine can verify Mathematically mature — you find satisfaction in precision, structural beauty, and resolving gaps that automated tools cannot 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 in settings where automated reasoning frequently fails or requires manual scaffolding Prior experience with data annotation, data quality, or AI evaluation systems 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 Fully remote and flexible — work when and where it suits you Freelance autonomy with the structure of meaningful, technically challenging work Contribute to defining the frontier of what formal verification can express and automate Exposure to advanced AI systems and how they're trained on mathematical reasoning Potential for ongoing work and contract extension as new projects launch

Formal Verification Scientist (Lean 4 & Mathlib)

Full Description