Find a job 
Featured Companies 
Featured Universities 
For Companies At a Glance
- 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) employer: Alignerr
Contact Detail:
Alignerr Recruiting Team
StudySmarter Expert Advice 🤫
We think this is how you could land Formal Verification Scientist (Lean 4 & Mathlib)
✨Tip Number 1
Network like a pro! Reach out to folks in the formal verification and AI research communities. Join relevant forums, attend webinars, and don’t be shy about sliding into DMs on LinkedIn. 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 assistants. Include examples of formal proofs you've written or projects you've contributed to. This will give potential employers a taste of what you can bring to the table.
✨Tip Number 3
Prepare for interviews by brushing up on common questions related to formal verification and proof writing. Practice explaining your thought process clearly and concisely. Remember, they want to see how you approach problems, so be ready to demonstrate your reasoning skills!
✨Tip Number 4
Don’t forget to apply through our website! We’re always on the lookout for passionate mathematicians like you. Completing your application steps quickly can put you ahead of the game, as we review applications daily. Let’s get you on board!
We think you need these skills to ace Formal Verification Scientist (Lean 4 & Mathlib)
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 mechanized mathematics.
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’re looking for.
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
✨Master the Basics of Lean
Before your interview, make sure you brush up on Lean 3 and Lean 4. Familiarise yourself with their syntax and functionalities, as well as any recent updates. Being able to discuss specific features or improvements will show your enthusiasm and expertise.
✨Showcase Your Proof Writing Skills
Prepare examples of your previous work where you've translated informal proofs into formal ones. Be ready to explain your thought process and the challenges you faced. This will demonstrate your ability to construct clear and structured proofs, which is crucial for the role.
✨Understand the Role of Formal Verification
Research the importance of formal verification in AI and how it impacts the development of proof assistants. Be prepared to discuss how your background in mathematics and logic can contribute to improving verification pipelines and tackling complex problems.
✨Communicate Clearly and Confidently
During the interview, focus on articulating your ideas clearly. Practice explaining complex concepts in a straightforward manner, as strong communication skills are essential for collaborating with researchers and guiding them through formalization decisions.
