AlignerrDomain experts
Mathematical Formalization Specialist (Lean / Formal Proof Systems)
up to $150/hr
About this role, in Alignerr's words
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 — especially Lean — to tackle problems that sit beyond the reach of automated tools.
What you'll do
- Translate informal mathematical proofs into Lean (and related proof systems) with an emphasis on clarity, structure, and correctness
- Analyze proofs across mathematical domains — 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 6 itemsHide the other 3 in What you'll do
- Collaborate with AI researchers to design, refine, and evaluate strategies for improving formal verification pipelines
- Develop clean, 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
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 ↗
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 — especially Lean — to tackle problems that sit beyond the reach of automated tools.
This is a fully remote, flexible contract role at the intersection of mathematics and computer science. You'll work on genuinely hard problems, translating rigorous human arguments into machine-verifiable formalizations that help map the frontier of what proof assistants can express, capture, and automate.
- Organization: Alignerr - Type: Hourly Contract - Location: Remote - Commitment: Flexible, task-based
What You'll Do
* Translate informal mathematical proofs into Lean (and related proof systems) with an emphasis on clarity, structure, and correctness * Analyze proofs across mathematical domains — 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 clean, 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
Sample Work You Might Do
* Formalize classical proofs and compare machine-verifiable structures against textbook arguments * Investigate where automated provers break down — and articulate precisely why (complexity, missing lemmas, insufficient libraries, etc.) * Write Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics
Who You Are
Required:
* 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 comparable formal proof systems — Lean strongly preferred * Genuine enthusiasm for formal verification, proof assistants, and the future of mechanized mathematics * Ability to translate dense, informal mathematical arguments into clean, structured formal proofs
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 * Strong communication skills for articulating formalization decisions, edge cases, and reasoning strategies
The Ideal Candidate
You're a mathematically mature problem-solver who finds genuine satisfaction in taking a dense, elegant argument and expressing it in a form a machine can understand. You appreciate precision, structural beauty, and the intellectual challenge of resolving gaps that automated tools cannot yet bridge. You don't just do mathematics — you think carefully about how mathematics is done.
Why Join Us
* Work on cutting-edge AI research projects alongside leading research labs * Fully remote and flexible — work when and where it suits you * Freelance autonomy with the structure of meaningful, intellectually stimulating work * Contribute directly to advancing the reliability and reasoning capabilities of next-generation AI * 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, $150, is in the top quarter. Of the 260 distinct rates we count, 204 are lower and 38 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
- 13d8c7a0-07f2-432f-b72d-6dcc9afcb44a
Pay as the source states it: “$50-150/hr”.
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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