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 mathematics into machine-verifiable Lean 4 proofs — working at the intersection of rigorous mathematics and cutting-edge AI research. This is a fully remote, flexible contract role built for mathematicians who live for precision, structural elegance, and the challenge of pushing proof assistants to their limits.

Organization: Alignerr

Type: Hourly Contract

Location: Remote

Commitment: 10–40 hours/week What You'll Do Translate informal mathematical proofs into clean, correct, and well-structured Lean 4 formalizations

Analyze proofs across domains — algebra, analysis, topology, logic, discrete math — to identify gaps, hidden assumptions, and formalizable sub-structures

Construct formalizations that test and map the frontier of what modern proof assistants can express and automate

Investigate where automated provers break down and articulate the underlying reasons — missing lemmas, complexity barriers, insufficient libraries

Develop reproducible, readable proof scripts aligned with mathematical best practices and Lean/Mathlib idioms

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

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

Possess a strong foundation in rigorous proof construction across areas such as algebra, analysis, topology, logic, or discrete mathematics

Have hands-on experience with Lean (Lean 3 or Lean 4), with Lean 4 strongly preferred;





experience with Coq, Isabelle/HOL, or Agda also welcomed

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

Able to translate dense, informal arguments into structured formal proofs with clarity and precision

Self-motivated, detail-oriented, and comfortable working independently in an asynchronous environment Nice to Have Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools

Experience contributing to or working within 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, evaluation systems, or formal data quality workflows

Strong written communication skills for documenting formalization decisions, edge cases, and reasoning strategies Why This Role You're not just writing proofs — you're helping define the boundary of what machines can know. This work sits at one of the most intellectually demanding and consequential frontiers in AI research: teaching AI systems to reason about mathematics with the same rigor that mathematicians demand of themselves. If you find deep satisfaction in taking an elegant human argument and expressing it in a form a machine can verify — and you're energized by the places where that translation breaks down — this is the role for you.

Why Join Us Work on cutting-edge AI research projects alongside world-leading research labs

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

Freelance autonomy with the structure of meaningful, technically rich work

Direct impact on how next-generation AI systems understand and reason about mathematics

Potential for ongoing work and contract extension as new projects launch

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