At a Glance
- Tasks: Translate complex mathematical proofs into machine-verifiable Lean 4 formats and collaborate on AI projects.
- Company: Join Alignerr, a leader in cutting-edge AI research and formal verification.
- Benefits: Enjoy remote work flexibility, competitive pay, and the chance to shape AI's understanding of mathematics.
- Other info: Freelance autonomy with opportunities for ongoing projects and career growth.
- Why this job: Make a real impact on AI by working at the forefront of formal verification and proof construction.
- Qualifications: Master's degree in Mathematics or related field, with strong proof writing skills and Lean experience.
The predicted salary is between 40 - 60 £ per hour.
About The Role
What if your deep mathematical training could directly shape how AI understands and reasons about formal proof? We're looking for Formal Verification Scientists to translate advanced mathematical arguments into machine-verifiable Lean 4 proofs — working at the very frontier of what proof assistants can express, capture, and automate. This is a fully remote, flexible contract role built for mathematicians who love rigorous proof construction and want to work on problems that matter. If you find satisfaction in taking a dense, elegant human argument and expressing it in a form a machine can verify — this role was made for you.
Organization: Alignerr
Type: Hourly Contract
Location: Remote
Commitment: 10–40 hours/week
What You'll Do
- Translate informal mathematical proofs into precise, machine-verifiable formalizations in Lean 4.
- Analyze generic and domain-specific proofs to identify gaps, hidden assumptions, and formalizable sub-structures.
- Construct formalizations that push the limits of existing proof assistants — especially where automated tools struggle or fail.
- Develop highly readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms.
- Collaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines.
- Provide guidance on proof decomposition, lemma selection, and structuring techniques for formal models.
- Investigate where automated provers break down and clearly articulate why — complexity, missing lemmas, insufficient libraries, and beyond.
- Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics.
Who You Are
- Hold a 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 mathematics.
- Hands‑on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or a comparable formal system — Lean strongly preferred.
- Genuinely enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics.
- Able to translate informal arguments into clean, structured, formally correct proofs.
- Mathematically mature problem‑solver who appreciates precision, structural beauty, and the challenge of bridging gaps automated tools can't yet close.
Nice to Have
- Familiarity with type theory, the Curry–Howard correspondence, and proof automation tools.
- Experience with large‑scale formalization projects such as Mathlib.
- Exposure to theorem provers where automated reasoning frequently fails or requires manual scaffolding.
- Prior experience with data annotation, data quality, or evaluation systems.
- Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies.
Why Join Us
- Work on cutting‑edge AI projects alongside leading research labs.
- Fully remote and flexible — work when and where it suits you.
- Freelance autonomy with the structure of meaningful, technically demanding work.
- Contribute directly to how AI systems learn to reason about advanced mathematics.
- Exposure to frontier LLM research and how formal verification intersects with AI training.
- Potential for ongoing work and contract extension as new projects launch.
Remote Formal Verification Scientist — Lean 4 & Mathlib in Birmingham employer: Alignerr Corp.
Alignerr is an exceptional employer for those passionate about formal verification and advanced mathematics, offering a fully remote and flexible work environment that allows you to contribute to cutting-edge AI projects. With a commitment to meaningful and technically demanding work, employees enjoy the autonomy of freelance contracts while collaborating with leading research labs, ensuring opportunities for professional growth and engagement in pioneering developments in AI and formal proof systems.
StudySmarter Expert Advice🤫
We think this is how you could land Remote Formal Verification Scientist — Lean 4 & Mathlib in Birmingham
✨Tip Number 1
Network like a pro! Reach out to fellow mathematicians and researchers in your field. Join online forums or social media groups where discussions about formal verification and Lean take place. You never know who might have a lead on a job opportunity!
✨Tip Number 2
Show off your skills! Create a portfolio showcasing your best Lean proofs and formalizations. This is your chance to demonstrate your expertise and passion for formal verification. Make sure to include any projects you've worked on, especially if they pushed the limits of existing proof assistants.
✨Tip Number 3
Prepare for interviews by brushing up on common questions related to formal verification and proof construction. Practice explaining complex concepts in simple terms, as communication is key. We want to see how you can articulate your thought process and reasoning strategies!
✨Tip Number 4
Don't forget to apply through our website! It's the best way to ensure your application gets seen. Plus, we love seeing candidates who are proactive and engaged with our platform. So, get your application in and let’s make some mathematical magic happen together!
We think you need these skills to ace Remote Formal Verification Scientist — Lean 4 & Mathlib in Birmingham
Some tips for your application 🫡
Show Off Your Mathematical Skills:Make sure to highlight your deep mathematical training and any relevant experience with formal verification. We want to see how you can translate complex arguments into machine-verifiable proofs, so don’t hold back!
Tailor Your Application:Customise your application to reflect the specific requirements of the role. Mention your hands-on experience with Lean or similar systems, and how your skills align with the challenges we face in formal verification.
Be Clear and Concise:When writing your application, clarity is key! Use straightforward language to explain your proof-writing experience and problem-solving abilities. We appreciate a well-structured application that mirrors the precision we value in our work.
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 this exciting opportunity. We can’t wait to hear from you!
How to prepare for a job interview at Alignerr Corp.
✨Master the Basics of Lean 4
Before your interview, make sure you brush up on your Lean 4 skills. Familiarise yourself with its syntax and idioms, as well as any recent updates or features. Being able to discuss specific examples of how you've used Lean 4 in past projects will show your expertise and enthusiasm for the role.
✨Showcase Your Mathematical Maturity
Prepare to discuss your experience with rigorous proof writing and mathematical reasoning. Think of examples from your studies or previous work where you translated complex arguments into formal proofs. This will demonstrate your ability to bridge the gap between informal and formal mathematics, which is crucial for this position.
✨Understand the Challenges of Formal Verification
Be ready to talk about the limitations of automated tools and where they typically struggle. Reflect on your experiences with theorem provers and be prepared to articulate why certain proofs may fail. This shows that you not only understand the theory but also have practical insights into the challenges faced in the field.
✨Communicate Clearly and Effectively
Strong communication skills are essential for this role. Practice explaining your thought process and decisions regarding proof decomposition and lemma selection. Clear communication will help you convey complex ideas effectively, which is key when collaborating with researchers and discussing formal models.
