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- Tasks: Translate informal mathematical proofs into Lean and collaborate on cutting-edge AI research.
- Company: Alignerr, a leader in AI research collaboration.
- Benefits: Competitive pay, flexible remote work, and potential for contract extension.
- Why this job: Join a team at the forefront of formal verification and mechanized mathematics.
- Qualifications: Master’s degree in Mathematics or related field and experience with formal proof languages.
- Other info: Enjoy autonomy and global collaboration while working on advanced AI projects.
The predicted salary is between 52 - 110 ÂŁ per hour.
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.
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.
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, especially where tools struggle or fail.
- 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.
- 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.
- 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.
- 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.
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.
- Submit your resume.
- Complete a short screening.
- Project matching and onboarding.
Researcher - Lean 4 & Formal Proof Systems in Cambridge employer: Alignerr
Contact Detail:
Alignerr Recruiting Team
StudySmarter Expert Advice 🤫
We think this is how you could land Researcher - Lean 4 & Formal Proof Systems in Cambridge
✨Tip Number 1
Network like a pro! Reach out to your connections in the AI and mathematics fields. Attend relevant meetups or online webinars to meet potential collaborators or employers. You never know who might have the inside scoop on job openings!
✨Tip Number 2
Show off your skills! Create a portfolio showcasing your formal proofs and any projects you've worked on with Lean or similar systems. This will give you an edge when chatting with recruiters or during interviews.
✨Tip Number 3
Prepare for interviews by brushing up on common questions related to formal verification and proof systems. Practice explaining complex concepts in simple terms, as communication is key in this field. We want to see how you can make your work accessible!
✨Tip Number 4
Don't forget to apply through our website! It’s the best way to ensure your application gets seen by the right people. Plus, it shows you're genuinely interested in joining our team at Alignerr!
We think you need these skills to ace Researcher - Lean 4 & Formal Proof Systems in Cambridge
Some tips for your application 🫡
Tailor Your Resume: Make sure your resume highlights your experience with Lean and formal proof systems. We want to see how your skills align with the role, so don’t be shy about showcasing relevant projects or coursework!
Showcase Your Passion: In your application, let us know why you’re excited about formal verification and proof assistants. We love candidates who are genuinely enthusiastic about pushing the boundaries of mathematics and technology.
Be Clear and Concise: When writing your application, clarity is key! Use straightforward language to explain your experience and skills. We appreciate well-structured applications that are easy to read and understand.
Apply Through Our Website: Don’t forget to submit your application through our website! It’s the best way for us to receive your details and ensures you’re considered for the role. Plus, it only takes 15-20 minutes!
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 formal proof systems. Brush up on your knowledge of how to translate informal proofs into Lean, as this will likely be a key focus during the interview. Be prepared to discuss specific examples of your work with Lean and how you've tackled complex proofs.
✨Showcase Your Mathematical Maturity
Demonstrate your deep understanding of rigorous proof construction and mathematical reasoning. Prepare to discuss various areas like algebra, analysis, and logic, and how they relate to formal verification. Highlight any projects where you’ve successfully identified gaps or hidden assumptions in proofs.
✨Communicate Clearly and Effectively
Strong communication skills are essential for this role. Practice explaining your formalization decisions and reasoning strategies in a clear and structured manner. You might be asked to articulate why certain automated provers fail, so being able to convey complex ideas simply will set you apart.
✨Prepare for Collaboration Scenarios
Since collaboration is a big part of the role, think about past experiences where you worked with others on formal verification projects. Be ready to discuss how you contributed to improving verification pipelines and what strategies you used to refine proofs in a team setting.
