About The Role What if your deep mathematical training could directly shape how AI understands and reasons about formal proof? We're looking for Formal Verification Scientists to translate advanced human-written mathematics into precise, machine-verifiable Lean 4 formalizations — helping map the very frontier of what modern proof assistants can express, capture, and automate. This is a fully remote, flexible contract role built for mathematicians who are passionate about formal verification and eager to push the limits of mechanized mathematics.

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 a focus on clarity, correctness, and mathematical rigor

Analyze proofs across domains — identifying hidden assumptions, gaps, and formalizable sub-structures

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

Investigate where automated provers break down and articulate why — complexity, missing lemmas, library gaps, and beyond

Develop highly readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms

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

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

Create Lean proofs that surface 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

Possess 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 a comparable proof assistant — Lean 4 strongly preferred

Able to translate dense, informal arguments into precise, structured formal proofs

Genuinely enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics 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 manual scaffolding

Prior experience with data annotation, data quality, or AI evaluation workflows

Robust communication skills for explaining formalization decisions, edge cases, and proof strategies Why This Role You're not just writing proofs — you're working at the intersection of mathematics and artificial intelligence, helping determine what formal reasoning can and cannot yet do. This is rare, meaningful work that only a small number of people in the world are positioned to do well.

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, high-impact work

Contribute directly to how AI systems learn to reason about mathematics

Potential for ongoing work and contract extension as new projects launch

📌 Formal Verification Scientist (Lean 4 & Mathlib) (Brisbane)
🏢 Alignerr
📍 Brisbane