Find a job 
Featured Companies 
Featured Universities 
For Companies At a Glance
- Tasks: Translate mathematical proofs into Lean and collaborate on innovative AI projects.
- Company: Alignerr partners with top AI research teams to advance mechanized mathematics.
- Benefits: Competitive pay, flexible remote work, and opportunities for contract extension.
- Why this job: Join a cutting-edge team and shape the future of formal verification.
- Qualifications: Master’s degree in Mathematics or related field; experience with proof systems like Lean.
- Other info: Dynamic environment with global collaboration and freelance perks.
The predicted salary is between 36000 - 60000 £ per year.
Location: Remote
At Alignerr, we partner with the world’s leading AI research teams and labs to build and train cutting-edge AI models.
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.
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.
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
- 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.
Researcher - Lean 4 & Formal Proof Systems in Manchester 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 Manchester
✨Tip Number 1
Network like a pro! Reach out to folks in the AI and formal verification space. Join relevant forums, attend webinars, or even slide into LinkedIn DMs. You never know who might have the inside scoop on job openings!
✨Tip Number 2
Show off your skills! Create a portfolio showcasing your work with Lean or other proof systems. Include examples of formal proofs you've constructed or projects you've contributed to. This will give potential employers a taste of what you can do.
✨Tip Number 3
Prepare for interviews by brushing up on common questions related to formal verification and proof systems. Practice explaining your thought process when translating informal proofs into Lean. Confidence is key, so get comfortable talking about your expertise!
✨Tip Number 4
Don't forget to apply through our website! It’s the best way to ensure your application gets seen. Plus, we review applications daily, so the sooner you apply, the better your chances of landing that dream role with us!
We think you need these skills to ace Researcher - Lean 4 & Formal Proof Systems in Manchester
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!
Craft a Compelling Cover Letter: Your cover letter is your chance to shine! Use it to explain why you’re passionate about formal verification and how your background makes you a perfect fit for our team. Keep it clear and engaging!
Showcase Your Proof Writing Skills: Since this role involves rigorous proof writing, consider including examples of your work or discussing specific challenges you've tackled in your application. We love seeing your thought process and problem-solving abilities!
Apply Through Our Website: Don’t forget to submit your application through our website! It’s the best way for us to keep track of your application and ensure it gets the attention it deserves. Plus, we review applications daily!
How to prepare for a job interview at Alignerr
✨Know Your Proofs Inside Out
Make sure you’re well-versed in the types of proofs you'll be working with, especially in Lean. Brush up on your mathematical reasoning and proof writing skills, as you'll need to demonstrate clarity and structure during the interview.
✨Familiarise Yourself with Lean
Since Lean is a key focus for this role, spend some time getting comfortable with its syntax and functionalities. Practising by translating informal proofs into Lean can give you a solid edge and show your enthusiasm for formal verification.
✨Prepare for Technical Questions
Expect questions that dive deep into your understanding of proof systems and formal verification. Be ready to discuss your experiences with theorem provers and how you've tackled challenges in previous projects, especially where automated reasoning has struggled.
✨Showcase Your Communication Skills
You'll need to explain complex concepts clearly, so practice articulating your thought process. Think about how you would break down a proof or a formalization decision for someone less familiar with the material—this will highlight your ability to collaborate effectively.
