Lean 4 Proof Engineer — Mathematical Formalization About The Role What if your deep mathematical training could directly shape the future of AI — by pushing the boundaries of what machines can understand, verify, and reason about? We're looking for mathematicians and formal verification specialists to translate rigorous mathematical arguments into machine-verifiable Lean 4 proofs for cutting-edge AI research. This role sits at the frontier of mathematics and computer science, where human intuition meets the precision of formal proof systems.

This is a fully remote, flexible contract role — ideal for someone who finds genuine satisfaction in the challenge of expressing elegant mathematical arguments in a form a machine can verify.

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 gaps, hidden assumptions, and formalizable sub-structures

Work at the frontier of formal verification, constructing proofs that test or exceed the current capabilities of automated provers

Investigate where automated provers break down and articulate why — missing lemmas, complexity limits, insufficient libraries

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

Guide proof decomposition, lemma selection, and structuring techniques for formal models

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





Develop 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

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 assistants — Lean 4 strongly preferred

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

Deeply 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, quality evaluation, or AI training workflows

Strong communication skills for articulating formalization decisions, edge cases, and reasoning strategies Why Join Us Work on genuinely frontier problems at the intersection of mathematics and AI

Collaborate with world-leading AI research teams and labs

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

Freelance autonomy with the structure and intellectual depth of meaningful research-adjacent work

Gain exposure to how advanced AI models are trained and evaluated

Potential for ongoing work and contract extension as projects evolve

📌 Lean 4 Proof Engineer - Mathematical Formalization (Vancouver)
🏢 Alignerr
📍 Vancouver