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- Tasks: Translate informal mathematical proofs into Lean and collaborate on cutting-edge AI research.
- Company: Join Alignerr, a leader in AI research and formal verification.
- Benefits: Earn $70–$150/hr with flexible remote work and freelance perks.
- Why this job: Work at the forefront of formal verification and mechanized mathematics.
- Qualifications: Master’s degree in Mathematics or related field; experience with Lean preferred.
- Other info: Dynamic role with potential for contract extension and global collaboration.
The predicted salary is between 56 - 120 ÂŁ per hour.
Join to apply for the Lean 4 Proof Engineer - Mathematical Formalization role at Alignerr.
Base pay range: $70.00/hr - $150.00/hr
Location: Remote
Commitment: 10–40 hours/week
About The Job
At Alignerr, we partner with the world’s leading AI research teams and labs to build and train cutting‑edge AI models. Write and formalize advanced mathematical proofs in Lean for cutting‑edge AI research. Ideal for mathematicians passionate about formal verification and pushing the limits of modern proof assistants.
Role Overview
We are seeking mathematicians with deep training in rigorous proof construction and hands‑on experience with formal proof languages, especially Lean. This role sits at the intersection of mathematics and computer science, focusing on translating human‑written mathematical arguments into precise, machine‑verifiable formalizations. You will work on proofs that often lie beyond the current capabilities of automated provers, helping us map the frontier of what formal verification can express, capture, and automate.
What You’ll Do
- Translate informal mathematical proofs into Lean (and related proof systems) with an emphasis on clarity, structure, and correctness.
- Analyze generic and domain‑specific proofs, identifying gaps, hidden assumptions, and formalizable sub‑structures.
- Construct formalizations that test the limits of existing proof assistants.
- Collaborate with 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 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 why (complexity, missing lemmas, insufficient libraries, etc.).
- Create Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics.
Requirements
- Master’s degree (or higher) in Mathematics, Logic, Theoretical Computer Science, or a closely related field.
- Strong foundation in rigorous proof writing and mathematical reasoning across areas such as algebra, analysis, topology, logic, or discrete math.
- Hands‑on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable systems, with Lean strongly preferred.
- Deep enthusiasm for formal verification, proof assistants, and the future of mechanized mathematics.
- Ability to translate informal arguments into clean, structured formal proofs.
Preferred
- Prior experience with data annotation, data quality, or evaluation systems.
- Familiarity with type theory, Curry‑Howard correspondence, and proof automation tools.
- Experience with large‑scale formalization projects (e.g., mathlib).
- Exposure to theorem provers where automated reasoning frequently fails or requires manual scaffolding.
- Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies.
Ideal Candidate
A mathematically mature problem‑solver who enjoys working at the frontier of formal verification; someone who finds satisfaction in taking a dense, elegant human argument and expressing it in a form that a machine can understand. You appreciate precision, structural beauty, and the challenge of resolving gaps that automated tools cannot yet bridge.
Why Join Us
- Competitive pay and flexible remote work.
- Collaborate with a team working on cutting‑edge AI projects.
- Exposure to advanced LLMs and how they’re trained.
- Freelance perks: autonomy, flexibility, and global collaboration.
- Potential for contract extension.
Application Process (Takes 15‑20 min)
- Submit your resume.
- Complete a short screening.
- Project matching and onboarding.
PS: Our team reviews applications daily. Please complete your AI interview and application steps to be considered for this opportunity. Referrals increase your chances of interviewing at Alignerr by 2x.
Seniority level: Entry level
Employment type: Contract
Job function: Management and Manufacturing
Industries: Technology, Information and Internet
Lean 4 Proof Engineer - Mathematical Formalization in London employer: Alignerr
Contact Detail:
Alignerr Recruiting Team
StudySmarter Expert Advice 🤫
We think this is how you could land Lean 4 Proof Engineer - Mathematical Formalization in London
✨Tip Number 1
Network like a pro! Reach out to your connections in the field of mathematics and formal verification. Let them know you're on the lookout for opportunities, and who knows? They might just have a lead or two for you.
✨Tip Number 2
Show off your skills! Create a portfolio showcasing your work with Lean and other proof assistants. This can be a game-changer when it comes to impressing potential employers and demonstrating your expertise.
✨Tip Number 3
Don’t shy away from online communities! Join forums and groups related to formal verification and Lean. Engaging in discussions can help you learn more and even catch the eye of recruiters looking for talent.
✨Tip Number 4
Apply through our website! We’re always on the lookout for passionate mathematicians. Completing your application directly with us not only speeds up the process but also shows your enthusiasm for joining our team.
We think you need these skills to ace Lean 4 Proof Engineer - Mathematical Formalization in London
Some tips for your application 🫡
Tailor Your Resume: Make sure your resume highlights your experience with Lean and formal proof languages. We want to see how your skills align with the role, so don’t be shy about showcasing relevant projects or coursework!
Craft a Compelling Cover Letter: Use your cover letter to tell us why you’re passionate about formal verification and how your background makes you a great fit for this role. Share specific examples of your work that demonstrate your expertise in mathematical proofs.
Showcase Your Problem-Solving Skills: In your application, highlight instances where you've tackled complex mathematical problems or worked on large-scale formalization projects. We love seeing how you approach challenges and find solutions!
Apply Through Our Website: For the best chance of getting noticed, make sure to apply directly through our website. It streamlines the process for us and ensures your application is reviewed promptly. Don’t miss out!
How to prepare for a job interview at Alignerr
✨Know Your Lean Inside Out
Make sure you’re well-versed in Lean 4 and its proof assistant capabilities. Brush up on your understanding of formal proof languages and be ready to discuss specific examples of how you've used Lean in your previous work or projects.
✨Showcase Your Mathematical Maturity
Prepare to demonstrate your deep understanding of rigorous proof construction. Be ready to explain complex mathematical concepts clearly and how you’ve translated informal arguments into structured formal proofs in the past.
✨Prepare for Problem-Solving Scenarios
Expect to tackle some challenging problems during the interview. Practice explaining your thought process when faced with gaps in proofs or when automated provers fail. This will show your analytical skills and your ability to think critically under pressure.
✨Communicate Clearly and Effectively
Strong communication skills are key for this role. Practice articulating your reasoning strategies and formalization decisions. Being able to explain complex ideas in a straightforward manner will impress your interviewers and demonstrate your collaborative spirit.
