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- Tasks: Write and formalise advanced mathematical proofs for cutting-edge AI research.
- Company: Join Alignerr, a leader in AI research collaboration.
- Benefits: Enjoy competitive pay, flexible remote work, and freelance perks.
- Why this job: Work at the forefront of formal verification and mechanised mathematics.
- Qualifications: Master’s degree in Mathematics or related field; experience with Lean preferred.
- Other info: Collaborate globally on innovative AI projects with potential for contract extension.
The predicted salary is between 36000 - 60000 £ per year.
Location: Remote. Alignerr partners 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.
Responsibilities
- 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.
Qualifications
- 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 and values precision and structure.
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.
Our team reviews applications daily. Please complete your AI interview and application steps to be considered for this opportunity.
Formal Verification Scientist (Lean 4 & Mathlib) in Glasgow employer: Alignerr
Contact Detail:
Alignerr Recruiting Team
StudySmarter Expert Advice 🤫
We think this is how you could land Formal Verification Scientist (Lean 4 & Mathlib) in Glasgow
✨Tip Number 1
Network like a pro! Reach out to folks in the AI and formal verification space on LinkedIn or Twitter. Join relevant groups and forums where you can share your passion for Lean and proof assistants, and don’t be shy about asking for advice or insights.
✨Tip Number 2
Show off your skills! Create a portfolio of your work with Lean or similar proof systems. Share your projects on GitHub or personal blogs to demonstrate your expertise and enthusiasm for formal verification. This will make you stand out when applying through our website.
✨Tip Number 3
Prepare for interviews by brushing up on your mathematical reasoning and proof writing. Practice explaining complex concepts clearly and concisely, as communication is key in this field. We want to see how you think and articulate your ideas!
✨Tip Number 4
Don’t just apply—engage! When you submit your application through our website, follow up with a friendly email expressing your excitement about the role. A little enthusiasm goes a long way and shows us you’re genuinely interested in joining our team.
We think you need these skills to ace Formal Verification Scientist (Lean 4 & Mathlib) in Glasgow
Some tips for your application 🫡
Craft a Clear Resume: Make sure your resume highlights your mathematical prowess and experience with proof assistants like Lean. We want to see your skills shine, so keep it structured and relevant to the role!
Showcase Your Passion: In your application, let us know why you're excited about formal verification and AI research. Share any projects or experiences that fuel your enthusiasm for pushing the boundaries of proof assistants.
Tailor Your Application: Don’t just send a generic application! Tailor your cover letter to reflect how your background aligns with our needs. We love seeing candidates who take the time to connect their experience with what we do at StudySmarter.
Apply Through Our Website: We encourage you to apply directly through our website. It’s the best way to ensure your application gets into the right hands quickly. Plus, it shows us you’re serious about joining our team!
How to prepare for a job interview at Alignerr
✨Know Your Lean Inside Out
Make sure you’re well-versed in Lean 4 and Mathlib. Brush up on the syntax, common libraries, and proof strategies. Being able to discuss specific examples of your work with Lean will show your passion and expertise.
✨Prepare for Technical Questions
Expect questions that dive deep into formal verification and proof writing. Be ready to explain how you would translate informal proofs into Lean, and think about potential gaps or assumptions in proofs. Practising these scenarios can help you articulate your thought process clearly.
✨Showcase Your Problem-Solving Skills
Be prepared to discuss past experiences where you tackled complex mathematical problems or formalization projects. Highlight your approach to overcoming challenges, especially in areas where automated provers struggle. This will demonstrate your analytical thinking and creativity.
✨Communicate Clearly and Confidently
Strong communication skills are key, especially when explaining your formalization decisions. Practice articulating your reasoning and structuring techniques. Clear communication will not only impress your interviewers but also reflect your ability to collaborate effectively with researchers.
