About The Role What if your deep mathematical training could directly shape how AI reasons, proves, and understands the most complex ideas in human knowledge? We're looking for Applied Formal Methods Researchers to formalize advanced mathematical proofs in Lean 4 — helping map the frontier of what machines can verify, and building the foundation for the next generation of AI reasoning systems. This is a fully remote, flexible contract role for mathematicians who are passionate about formal verification and want their expertise to matter beyond the page.

Organization: Alignerr

Type: Hourly Contract

Location: Remote

Commitment: 10–40 hours/week What You'll Do Translate informal mathematical proofs into precise, machine-verifiable formalizations in Lean 4

Analyze proofs across domains — identifying gaps, hidden assumptions, and formalizable substructures

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

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

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

Provide guidance on proof decomposition, lemma selection, and structuring techniques for formal models

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

Investigate where automated provers break down and articulate exactly why — complexity, missing lemmas, insufficient libraries, and beyond Who You Are Hold a Master's degree or higher in Mathematics, Logic,



Theoretical Computer Science, or a closely related field

Possess a robust 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 comparable proof systems — Lean strongly preferred

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

Skilled at translating dense, informal arguments into clean, structured, machine-readable proofs A mathematically mature problem-solver who finds satisfaction in resolving gaps that automated tools cannot yet bridge Nice to Have 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

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

Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies Why Join Us Work at the intersection of advanced mathematics and cutting-edge AI research

Collaborate with world-leading AI research teams and labs

Fully remote and flexible — work on your own schedule from anywhere

Freelance autonomy with meaningful, intellectually rigorous work

Gain direct exposure to how frontier AI models are trained and evaluated

Potential for ongoing engagement and contract extension as projects evolve

📌 Applied Formal Methods Researcher (Lean 4) (Delhi)
🏢 Alignerr
📍 Delhi