Applied Formal Methods Researcher (Lean 4)
$170–200/hr
Remote STEM contract with Alignerr, $170–200/hr. Posted Oct 22.
$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 2w 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 mathematical expertise could directly shape how the world's most advanced AI systems reason, verify, and understand formal logic? We're looking for Applied Formal Methods Researchers to translate rigorous mathematical arguments into machine-verifiable Lean 4 proofs — working at the absolute frontier of what proof assistants can express and automate.
This is a fully remote, flexible contract role built for mathematicians who live at the intersection of abstract reasoning and precise formalization. If you find deep satisfaction in taking a dense, elegant argument and expressing it in a form a machine can verify — this role was designed for you.
What You'll Do
- Translate informal mathematical proofs into clean, structured Lean 4 formalizations with an emphasis on clarity, correctness, and reproducibility
- Analyze generic and domain-specific proofs to identify gaps, hidden assumptions, and formalizable sub-structures
- Construct formalizations that stress-test the limits of existing proof assistants — especially where automated tools struggle or fail
- 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 Lean idioms
- Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models
- Investigate automated prover breakdowns and articulate root causes — complexity gaps, missing lemmas, insufficient libraries, and more
- Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics
Who You Are
- Holds a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
- Possesses a strong foundation in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematics
- Has hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable proof systems — Lean 4 strongly preferred
- Deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics
- Able to translate informal arguments into precise, structured formal proofs with minimal ambiguity
- Mathematically mature and energized by working at the boundary of what formal tools can currently handle
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, data quality evaluation, or AI training workflows
- Strong communication skills for explaining formalization decisions, edge cases, and proof strategies to interdisciplinary teams
Why Join Us
- Work directly on cutting-edge AI projects alongside world-leading research labs
- Fully remote and flexible — structure your hours around your life, not the other way around
- Freelance autonomy with the depth and intellectual rigor of frontier research work
- Gain exposure to advanced LLMs and the formal reasoning pipelines being built to train them
- Potential for ongoing contract extension as projects evolve and scale
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.