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, proves, and thinks? We're looking for formal methods researchers to translate complex human mathematical arguments into machine-verifiable proofs in Lean 4 — working at the precise frontier where human ingenuity meets the limits of automated reasoning.
What you'll do
- Translate informal mathematical proofs into formal, machine-verifiable Lean 4 proofs with an emphasis on clarity, correctness, and structural elegance
- Analyze domain-specific and general proofs to identify hidden assumptions, logical gaps, and formalizable sub-structures
- Construct challenging formalizations that probe the limits of current proof assistants — especially where automation breaks down
Show all 8 itemsHide the other 5 in What you'll do
- Collaborate with AI researchers to design and refine strategies for improving formal verification pipelines
- Develop clean, reproducible proof scripts aligned with mathematical best practices and Lean idioms
- Provide expert guidance on proof decomposition, lemma selection, and structuring techniques
- Investigate failure modes in automated provers and articulate the underlying reasons — complexity, missing lemmas, insufficient libraries, and beyond
- Create formalizations that surface deeper patterns or generalizations implicit in the original mathematics
Candidate background
Who You Are
- Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
- Deeply fluent 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 comparable proof assistants — Lean strongly preferred
- Genuinely passionate about formal verification, proof assistants, and the long-term future of mechanized mathematics
- Able to bridge the gap between intuitive human arguments and precise formal representations
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 tooling
- Experience contributing to large-scale formalization projects such as Mathlib
- Exposure to theorem provers where automated reasoning frequently fails or requires substantial manual scaffolding
- Prior experience with data annotation, data quality evaluation, or AI training workflows
- Strong ability to communicate formalization decisions, edge cases, and reasoning strategies clearly in writing
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, proves, and thinks? We're looking for formal methods researchers to translate complex human mathematical arguments into machine-verifiable proofs in Lean 4 — working at the precise frontier where human ingenuity meets the limits of automated reasoning.
This is a fully remote, flexible contract role built for mathematicians who live at the intersection of rigorous proof construction and the future of mechanized mathematics.
- Organization: Alignerr - Type: Hourly Contract - Location: Remote - Commitment: 10–40 hours/week
What You'll Do
* Translate informal mathematical proofs into formal, machine-verifiable Lean 4 proofs with an emphasis on clarity, correctness, and structural elegance * Analyze domain-specific and general proofs to identify hidden assumptions, logical gaps, and formalizable sub-structures * Construct challenging formalizations that probe the limits of current proof assistants — especially where automation breaks down * Collaborate with AI researchers to design and refine strategies for improving formal verification pipelines * Develop clean, reproducible proof scripts aligned with mathematical best practices and Lean idioms * Provide expert guidance on proof decomposition, lemma selection, and structuring techniques * Investigate failure modes in automated provers and articulate the underlying reasons — complexity, missing lemmas, insufficient libraries, and beyond * Create formalizations that surface deeper patterns or generalizations implicit in the original mathematics
Who You Are
* Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field * Deeply fluent 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 comparable proof assistants — Lean strongly preferred * Genuinely passionate about formal verification, proof assistants, and the long-term future of mechanized mathematics * Able to bridge the gap between intuitive human arguments and precise formal representations
Nice to Have
* Familiarity with type theory, the Curry-Howard correspondence, and proof automation tooling * Experience contributing to large-scale formalization projects such as Mathlib * Exposure to theorem provers where automated reasoning frequently fails or requires substantial manual scaffolding * Prior experience with data annotation, data quality evaluation, or AI training workflows * Strong ability to communicate formalization decisions, edge cases, and reasoning strategies clearly in writing
Why This Role Stands Out
This isn't routine annotation work. You'll operate at the cutting edge — tackling proofs that automated systems cannot yet handle, mapping the frontier of what formal verification can express, and contributing directly to how next-generation AI models learn to reason mathematically. If you find deep satisfaction in taking a dense, elegant human argument and expressing it in a form a machine can verify, this role was built for you.
Why Join Us
* Work on genuinely frontier AI research alongside leading labs * Fully remote and asynchronous — work on your own schedule, from anywhere * Freelance autonomy with meaningful, intellectually stimulating work * Contribute to shaping how AI models understand and generate formal mathematics * Potential for contract extension as projects evolve and expand
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 692 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 259 distinct rates we count, 234 are lower and 15 are higher.
| Platform | Roles | Top of range, per hour |
|---|---|---|
| Alignerr (this platform) | 148 | $24 to $200 · median $80 |
| micro1 | 130 | $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 4 Oct 2026, and still on Alignerr's list when we last read it on 12 Oct 2026.
- The listed pay has not changed since then.
- Posted by Alignerr
- Not stated
- First seen by AIPayList
- Last seen live
- Listing ID
- 087b1b0f-26cd-4b15-aafe-e860256abe64
Pay as the source states it: “$170-200/hr”.
Alignerr posts this role once per country: 2 listings with the same title and pay. This page shows one of them. The full country list is on the main listing.
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.
Keep exploring
More like this
Related field, different requirements. Check each role's own page before you apply.