About this opportunity
Alignerr Corp. lists this Mathematical Formalization Specialist opportunity in austin, Colorado. Review the employer’s description below for duties, qualifications and application requirements.
Job description
Mathematical Formalization Specialist (Lean / Formal Proof Systems)
About The Role
What if your deep mathematical training could directly shape the future of AI reasoning? We're looking for mathematicians with hands‑on experience in formal proof systems — particularly Lean — to help push the boundaries of what machine‑verifiable mathematics can express and automate.
This is a fully remote, flexible contract role working alongside leading AI research teams. You'll tackle proofs that sit beyond the reach of current automated tools, helping map and expand the frontier of formal verification.
Organization: Alignerr
Type: Hourly Contract
Location: Remote
Commitment: Flexible
What You'll Do
Translate informal mathematical proofs into Lean (and related proof systems) with precision, clarity, and structural elegance
Analyze generic and domain‑specific proofs to identify gaps, hidden assumptions, and formalizable sub‑structures
Build formalizations that stress‑test the limits of existing proof assistants — especially where automation fails
Collaborate with researchers to design and refine strategies for improving formal verification pipelines
Develop readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms
Advise on proof decomposition, lemma selection, and structuring techniques for formal models
Who You Are
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 a comparable formal proof system — Lean strongly preferred
Genuine enthusiasm for formal verification, proof assistants, and the future of mechanized mathematics
Ability to translate dense informal arguments into clean, structured, machine‑verifiable proofs
Nice To Have
Familiarity with type theory, the Curry–Howard correspondence, or proof automation tooling
Experience contributing to large‑scale formalization projects such as mathlib
Exposure to theorem provers in contexts where automated reasoning frequently fails or requires manual scaffolding
Strong communication skills for articulating formalization decisions, edge cases, and proof strategies
Ideal Candidate
You're a mathematically mature problem‑solver who finds genuine satisfaction in taking a dense, elegant human argument and expressing it in a form a machine can verify. You appreciate precision, structural beauty, and the intellectual challenge of resolving the gaps that automated tools cannot yet bridge. You're excited to work at the intersection of pure mathematics and cutting‑edge AI research.
Sample Work
Formalize classical proofs and compare machine‑verifiable structures against standard textbook arguments
Investigate where automated provers break down — and articulate precisely why (complexity, missing lemmas, library gaps, etc.)
Create Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics
Why Join Us
Work on genuinely cutting‑edge AI research alongside leading labs
Fully remote and flexible — work when and where it suits you
Freelance autonomy with the structure of meaningful, intellectually rigorous work
Contribute to projects that advance the reliability and mathematical depth of AI systems
Potential for ongoing work and contract extension as new projects launch
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Worksite address
austin, CO, 81410, US
Who can apply
Review the original listing for work authorization, qualifications and employer requirements.