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Mathematician – Formal Systems & AI Foundations (Remote Contract)
Alignerr • Germany
Education
Any
Type
hourly
Pay Rate (by country)
$170–$200/hr
Listed
40d ago
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About this Role
From the Alignerr listing
What You'll Do
- Formalize advanced mathematical arguments and theorems in Lean 4, spanning a wide range of mathematical disciplines
- Contribute to the growth and quality of large-scale formal mathematical libraries, including mathlib
- Construct clean, readable, and well-structured formal proofs that translate informal mathematical reasoning into rigorous machine-checkable form
- Audit and verify existing formal proofs for correctness, completeness, and logical integrity
- Work at the frontier of AI research, helping train the next generation of mathematically capable language models
About the Role
What if your deep knowledge of formal mathematics could directly shape how the most advanced AI systems in the world reason, prove, and think? We're looking for mathematicians with a passion for rigorous proof and formal systems to help build the mathematical foundations that frontier AI depends on. This is a fully remote, flexible contract role working at the intersection of pure mathematics, logic, and cutting-edge AI research. If you live and breathe formal proof — and especially if you know your way around Lean 4 — this is a rare opportunity to contribute to frontier AI development on your own schedule, from anywhere in Germany.
- Organization: Alignerr
- Type: Hourly Contract
- Location: Remote
- Commitment: 10–40 hours/week
Who You Are
- Hold a Master's degree or PhD in Mathematics or a closely related field
- Possess a strong background in rigorous mathematical proof writing and logical reasoning
- Have hands-on experience with formal proof assistants — Lean 4 strongly preferred
- Can fluently translate informal mathematical ideas into structured, machine-verifiable formal proofs
- Self-motivated and comfortable working independently in a remote, asynchronous environment
Nice to Have
- Prior experience with proof verification, theorem proving, or mathematical formalization projects
- Familiarity with mathlib or other large-scale formal mathematical libraries
- Background in data annotation, data quality evaluation, or AI training workflows
- Experience across multiple mathematical domains — topology, algebra, analysis, logic, and beyond
Why Join Us
- Work on frontier AI research alongside the world's leading AI labs and research teams
- Fully remote and flexible — structure your work around your life, not the other way around
- Freelance autonomy with the intellectual depth of meaningful, high-stakes technical work
- Contribute directly to formal mathematical libraries that will outlast any single project
- Gain rare exposure to how cutting-edge large language models are built and trained
- Potential for ongoing work and contract extension as new projects launch
Requirements
- Must be eligible to work in Germany
- Fluent proficiency in English (Written & Verbal)
- Reliable high-speed internet connection
- Bachelor's degree or equivalent professional experience
- Demonstrated expertise in Mathematics
Why This Role
What if your deep knowledge of formal mathematics could directly shape how the most advanced AI systems in the world reason, prove, and think? We're looking for mathematicians with a passion for rigorous proof and formal systems to help build the mathematical foundations that frontier AI depends on. This is a fully remote, flexible contract role wo
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Frequently Asked Questions
How hard is the Alignerr assessment?
Hard, and unforgiving. Alignerr uses TestGorilla for timed, role-specific tests: a blank coding environment for engineers, strict grammar and fact-checking for writers. Treat it as one shot. Failing or abandoning it typically locks you out of that role permanently, with no retake.
How soon can I start earning on Alignerr after passing the assessment?
Not right away. After passing, you still complete identity verification through Persona and billing setup through Deel, then wait in a pool for weeks or months. You only start earning once a project matching your specific skills launches and assigns you. Don't count on Alignerr income until you're actively placed on a project.
Does Alignerr have a trainer community?
Yes, and it's a genuine strength. Once you're assigned to a project, you join Slack channels where you can get rubric clarifications from admins and talk to other trainers. That kind of support is rare in AI training and matters most when guidelines are ambiguous or shift mid-project.
Is AI training work the same as traditional consulting?
No. Instead of client deliverables, you're given complex scenarios to evaluate: grading the AI's logic, correcting its hallucinations, and supplying expert-level reasoning it doesn't have on its own. The job is closer to teaching than consulting.
Why do these AI training roles pay so much?
Because general knowledge isn't what's being tested. The model already knows the basics; what it needs is expertise on edge cases, the rare, difficult, highly technical judgment calls only a senior professional in the field would make correctly.
What does the day-to-day workload look like for elite-expert AI training roles?
Slow and deep, not fast and repetitive. A single task can take 45-60 minutes of researching citations or verifying complex calculations. Quality is what's being measured here, not throughput.
What does Mathematics work look like for a Mathematician – Formal Systems & AI Foundations (Remote Contract)?
Tasks here are scoped to Mathematics, not generic labeling. As a Mathematician – Formal Systems & AI Foundations (Remote Contract), expect to draw on real domain judgment (evaluating outputs, correcting errors, or providing expert reasoning specific to Mathematics) rather than following a one-size-fits-all rubric. If you don't have hands-on Mathematics background, this is likely not the right listing to start with.
What happens when I click Apply on this listing?
You'll be taken to Alignerr's external site to complete your application there. This listing links through a referral, but the process is identical to applying directly; the link just routes you correctly. Create an account on their site and follow their onboarding steps.
Can I apply from outside Germany?
This specific role is restricted to Germany. If you are outside these locations, applying is unlikely to result in an offer even if you pass the assessment. Check the full job description for any VPN or tax-residency caveats.
What is the barrier to entry for Alignerr?
A difficult, timed technical assessment in your specific domain, like Python, physics, or language. Passing it is required before you're eligible for any paid projects.