AlignerrDomain experts
Applied Formal Methods Researcher (Lean 4)
up to $200/hr
About this role, in Alignerr's words
What if your deep mathematical training could directly shape how AI reasons about proofs — pushing the boundaries of what machines can verify, understand, and automate?
What you'll do
- Translate informal mathematical proofs into Lean 4 (and related proof systems) with an emphasis on clarity, structure, and correctness
- Analyze both 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 automated tools struggle or fail
Show all 8 itemsHide the other 5 in What you'll do
- 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
- Investigate where automated provers break down — and articulate precisely why (complexity, missing lemmas, insufficient libraries, etc.)
- Formalize classical proofs and compare machine-verifiable structures against textbook arguments
Candidate background
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 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 strongly preferred
- Deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics
- Able to translate complex informal arguments into clean, structured formal proofs independently
- Thrive working at the frontier — you're energized by problems that automated tools can't yet solve
Nice to Have
Show all 5 itemsHide these 5 items in Nice to Have
- Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools
- Experience contributing to large-scale formalization projects (e.g., mathlib)
- Exposure to theorem provers where automated reasoning frequently requires manual scaffolding
- Prior experience with data annotation, evaluation systems, or AI training workflows
- Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies
Quoted from selected sections of Alignerr's posting. The full posting may state other conditions. Read the full posting
A closer look
More context, when you need it.
Full job descriptionThe original posting, in Alignerr's words
Posted by Alignerr, reproduced here so you can judge the role before clicking. Original posting ↗
Applied Formal Methods Researcher (Lean 4)
About the Role
What if your deep mathematical training could directly shape how AI reasons about proofs — pushing the boundaries of what machines can verify, understand, and automate?
We're looking for mathematicians with hands-on experience in formal proof systems to translate rigorous human arguments into machine-verifiable Lean 4 formalizations. You'll work at the cutting edge of AI research, helping map the frontier of automated reasoning and formal verification.
This is a fully remote, flexible contract role designed for mathematically mature problem-solvers who find satisfaction in the precise, structural beauty of formal proof.
- Organization: Alignerr - Type: Hourly Contract - Location: Remote - Commitment: 10–40 hours/week
What You'll Do
* Translate informal mathematical proofs into Lean 4 (and related proof systems) with an emphasis on clarity, structure, and correctness * Analyze both 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 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 proof assistant idioms * Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models * Investigate where automated provers break down — and articulate precisely why (complexity, missing lemmas, insufficient libraries, etc.) * Formalize classical proofs and compare machine-verifiable structures against textbook arguments
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 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 strongly preferred * Deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics * Able to translate complex informal arguments into clean, structured formal proofs independently * Thrive working at the frontier — you're energized by problems that automated tools can't yet solve
Nice to Have
* Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools * Experience contributing to large-scale formalization projects (e.g., mathlib) * Exposure to theorem provers where automated reasoning frequently requires manual scaffolding * Prior experience with data annotation, evaluation systems, or AI training workflows * Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies
Why Join Us
* Work directly with leading AI research labs on cutting-edge projects at the intersection of mathematics and AI * Fully remote and flexible — work when and where it suits you * Freelance autonomy with meaningful, intellectually stimulating work * Gain exposure to advanced LLMs and the training pipelines that shape them * Contribute to work that defines the future of mechanized mathematics and AI reasoning * Potential for ongoing work and contract extension as new projects launch
Working with AlignerrPay, getting started and work, from Alignerr's own pages
What the platform publishes in general. These are not extra terms confirmed for this particular role.
- Getting paid
- Billed weekly, Monday to Sunday, with approved work paid by the following Friday, according to Labelbox's help center. Payment goes through Stripe Connect or PayPal depending on your location, with one provider per country. intercom.help/labelbox/en/articles/13600616-alignerr-paym..., alignerr.com/process
- Before your first paid task
- Sign up, apply, verify your identity, set up billing and onboard. Some jobs add a Zara AI interview or domain assessments. alignerr.com/process
- How much work
- Time to your first project depends on demand and your skills, and there is no minimum number of hours. alignerr.com/faqs
- Contract
- Independent contractor, under terms with ALIGNERR LLC. alignerr.com/faqs, alignerr.com/privacy
Read on the pages linked above on 24 Sep 2026. Platforms change these terms, so check the linked page before you rely on one.
How does the pay compare?Across Domain experts roles, not this role alone
From our own daily reads of every open listing on the platforms we follow, not from Alignerr's posting. How we count.
Pay across the field: Domain experts
Across 698 roles in this field with a stated hourly rate in US dollars, on 18 platforms, the middle half pays $65 to $130 an hour at the top of the range, and the median is $100. This role's top rate, $200, is in the top quarter. Of the 260 distinct rates we count, 235 are lower and 15 are higher.
| Platform | Roles | Top of range, per hour |
|---|---|---|
| Alignerr (this platform) | 148 | $24 to $200 · median $80 |
| micro1 | 136 | $28 to $400 · median $110 |
| AfterQuery | 88 | $45 to $175 · median $100 |
| Handshake AI | 79 | $30 to $300 · median $85 |
| Mercor | 78 | $55 to $450 · median $120 |
Sources and listing historyWhere this information comes from
This listing's history
- First seen here on 27 Aug 2026, and still on Alignerr's list when we last read it on 13 Oct 2026.
- The listed pay has not changed since then.
- Posted by Alignerr
- First seen by AIPayList
- Last seen live
- Listing ID
- 07e04035-19d1-4f28-bc61-8dd8afca8e6c
Pay as the source states it: “$170-200/hr”.
Alignerr posts this role once per country: 2 listings with the same title and pay. We treat them as one role, open in 0 countries.
Platforms sometimes change a rate after posting. Every listing here is re-read at least once a day and corrected when its source moves, so a difference you see on the platform is usually a change made since the last read. How freshness works.
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