Researcher – Lean 4 & Formal Proof Systems
$170–200/hr
Remote STEM contract with Alignerr, $170–200/hr. Posted Oct 27.
$170–200/hr
Apply on AlignerrIs this job worth applying to?
- Pay
- Above typicalTops out at $200/hr. The typical top rate across 148 priced STEM listings is $70/hr.
- Getting in
- Hard to get in~1–2 hours of assessments. Valid government photo ID.
- Steady work
- Work is patchyFeast-or-famine project volume.
- Payout record
- Some delaysSchedule: weekly, by Friday for the prior Monday–Sunday. Paid via Stripe or PayPal (depends on country).
- Freshness
- RecentPosted 10d ago. Still listed on Alignerr on Nov 6, 2026.
- Where you live
- Not statedThe listing names no country.
The job description
About the Role
What if your deep mathematical training could directly shape how the world's most advanced AI systems reason about proof? We're looking for mathematicians with serious formal verification chops to help us map the frontier of what machines can understand, verify, and learn from — working on proofs that push the limits of modern proof assistants like Lean 4.
This is a fully remote, flexible contract role built for mathematicians who live at the intersection of rigorous proof and formal systems. If you find genuine satisfaction in translating a dense, elegant argument into something a machine can verify — and in resolving the gaps that automated tools cannot yet bridge — this role was designed for you.
What You'll Do
- Translate informal mathematical proofs into Lean 4 (and related proof systems) with an emphasis on clarity, structure, and correctness
- Analyze generic and domain-specific proofs, identifying gaps, hidden assumptions, and formalizable sub-structures
- Construct formalizations that test the limits of existing proof assistants — especially where tools struggle or fail entirely
- Collaborate with AI researchers to design, refine, and evaluate strategies for improving formal verification pipelines
- Develop highly readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms
- Provide expert 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 why — complexity, missing lemmas, insufficient libraries, and more
- 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
- Have 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 formal proof system — Lean 4 strongly preferred
- Are genuinely passionate about formal verification, proof assistants, and the future of mechanized mathematics
- Can translate informal mathematical arguments into clean, structured, machine-verifiable proofs
- Enjoy working at the frontier — where the tools haven't caught up yet and human judgment still matters
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 extensive manual scaffolding
- Prior experience with data annotation, evaluation systems, or AI training data quality
- Strong communication skills for articulating formalization decisions, edge cases, and reasoning strategies
Why Join Us
- Work directly with teams building cutting-edge AI at leading research labs
- Fully remote and flexible — work when and where it suits you
- Freelance autonomy with the structure of meaningful, intellectually demanding work
- Contribute to a research frontier that will define how AI reasons about mathematics for years to come
- Potential for ongoing work and contract extension as new projects launch
How do you apply to Alignerr?
Apply on Alignerr
The Apply button opens this post on Alignerr's own site. You apply with them, not with Rubric. Budget about 1–2 hours of assessments.
Get through screening
What Alignerr asks for after you apply:
- Take the TestGorilla skills assessment (usually one attempt per role)
- Verify your identity with Persona
- Join the Alignerr Slack community
- Set up payouts once you are assigned to a project
Start work and get paid
Pay schedule: weekly, by Friday for the prior Monday–Sunday. Paid via Stripe or PayPal (depends on country). You're paid for the work they hand out, not a fixed salary.
Alignerr also needs
- Valid government photo ID
- Degree or professional experience for expert roles
- Webcam for proctored assessments on some roles
Red flags
- Red flagLong gaps with no project after passing
- Red flagWorker reports of delayed or withheld payments on Glassdoor
What is Alignerr like to work for?
Labelbox's contractor network, which hires generalists and domain experts to label data and write and grade AI training tasks.
| Advertised pay | $15–150/hr |
|---|---|
| Getting in | Hard to get in |
| Application takes | ~1–2 hours of assessments |
| How you get paid | Weekly, by Friday for the prior Monday–Sunday, via Stripe or PayPal (depends on country) |
| Payout record | Some delays |
| Countries | Accepts most countries but blocks signups from about two dozen; posts India-specific roles such as Hindi, Telugu and Indian-English language and cultural review work. |
Generalist and bilingual work is around $15–20/hr, coding QA $30–40/hr, and senior software, advanced math, medical and law roles $70–150/hr; some projects pay per approved task.