Tokyo Alignerr
Mathematical Formalization Specialist (Lean / Formal Proof Systems)

About Alignerr

Alignerr partners with leading AI labs to build expert-driven workflows that improve model reasoning.

We recruit top mathematicians and specialists to solve tasks where automated tools fail, advancing AI reliability, formalization, and high-integrity dataset creation.

Role Overview


We are seeking a mathematician 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.

You will work on proofs that often lie beyond the current capabilities of automated provers, helping us map the frontier of what formal verification can express, capture, and automate.

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.

What You Bring

Must-Have

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.

Nice-to-Have

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.

You appreciate precision, structural beauty, and the challenge of resolving gaps that automated tools cannot yet bridge.

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.
Show more Show less

  • Tokyo Alignerr Full time$50 - $150

    We are seeking a mathematician 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 argumen ...


  • Tokyo Alignerr ¥6,000,000 - ¥10,500,000 per year

    We are seeking a mathematician 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 arg ...


  • Tokyo Alignerr $50 - $150

    We are seeking a mathematician 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 argumen ...


  • Japan Invisible Agency

    We need your expertise to help power the next generation of AI. On a typical day, you will converse with the model on classroom problems and theoretical mathematics questions. · ...


  • Tokyo Snowflake ¥1,200,000 - ¥1,800,000 per year

    Snowflake is seeking an AI Specialist who can provide hands-on expertise and support while working with technical decision makers and data scientists to design and architect AI solutions built on the Snowflake AI Data Cloud. · ...


  • Tokyo myGwork - LGBTQ+ Business Community ¥4,500,000 - ¥6,500,000 per year

    This job is with Fisher Investments, an inclusive employer and a member of myGwork – the largest global platform for the LGBTQ+ business community. · The FIJ Associate Relationship Manager is a professional level employee responsible, alongside the FIJ Sales Relationship Manager, ...


  • Tokyo Amadeus Full time

    +Job summary · We're looking for a People Services Specialist who will provide accurate and timely HR operational support across the employee lifecycle in Amadeus Japan and South Korea entities. · +Bachelor's degree in HR Business Administration related field. · 5+ years' experie ...


  • Tokyo Jobs via eFinancialCareers ¥4,500,000 - ¥6,000,000 per year

    The FIJ Associate Relationship Manager is a professional level employee responsible for coverage of Japanese institutional prospective clients. Reporting to the general manager, the Associate Relationship Manager will actively follow up on designated and new leads, build relation ...

  • Finance Controller

    1ヶ月前


    Tokyo Signify ¥120,000 - ¥180,000 per year

    Join us, and together, we'll transform our industry, making a lasting difference for brighter lives and a better world. You light the way. · Joint accountability with the BP for the integrity, consistency and completeness of the P&L and Balance sheet of the allocated ORUs at tota ...

  • Associate Director

    4週間前


    Tokyo myGwork - LGBTQ+ Business Community ¥5,000,000 - ¥15,000,000 per year

    We are seeking candidates who model our values: invest in every relationship lead with curiosity champion diverse perspectives turn inputs into actions uphold trust through integrity. · ...

  • Finance Controller

    1ヶ月前


    Tokyo Signify Full time¥120,000 - ¥180,000 per year

    As a Finance Controller, you will be responsible for the Far East region, including Japan and Korea. You will work intensively with a broad set of colleagues from different levels, expertise, and geographic location. You will be part of the accounting organization in Growth Marke ...


  • Tokyo NVIDIA ¥120,000 - ¥180,000 per year

    NVIDIA is looking for Senior Cloud Infrastructure/DevOps Solutions Architect to join its NVIDIA Infrastructure Specialist Team. · Maintain large scale HPC/AI clusters with monitoring, logging and alerting · Manage Linux job/workload schedulers and orchestration tools · Develop an ...


  • Tokyo myGwork - LGBTQ+ Business Community ¥6,000,000 - ¥12,000,000 per year

    We unite the brightest minds to turn today's risks into tomorrow's opportunities. As a global leader in ratings and integrated risk assessment, we're advancing AI to move from insight to action—enabling intelligence that not only understands complexity but responds to it.We decod ...


  • Tokyo Rakuten ¥2 - ¥4 per year

    The Technology Management Division (TMD) provides Corporate IT and Cyber Security Privacy Governance to Rakuten Group companies. · Maintain Rakuten Group regulations information security policy related policies including those for AI gathering requirements executing managing form ...


  • Tokyo Rockwell Automation Full time¥4,320,000 - ¥6,480,000 per year

    Looking for a experienced Technical Engineer to support Plex-Rockwell Products with troubleshooting issues and providing appropriate resolutions to the customers. · Respond to customer product inquiries by telephone or in written internet-based email or chat sessions. · Resolve c ...


  • Tokyo Rockwell Automation ¥600,000 - ¥1,200,000 per year

    Technical Support Engineer I at Rockwell Automation. Responsible for troubleshooting issues, providing resolutions to customers, and managing work queues within Service Cloud. · ...


  • Tokyo Rakuten Full time¥5,000,000 - ¥15,000,000 per year

    The Information Security & Privacy Governance Department (ISPD) enables and accelerates business growth by establishing, · maintaining,and enhancing robust information security privacy data and AI governance frameworks across the Rakuten Group. · ...


  • Tokyo Arthrex APAC ¥8,000,000 - ¥12,000,000 per year

    The Organizational Development and Training Specialist is responsible for designing, implementing, and evaluating programs that facilitate the professional development and continuous learning of employees. · Relevant work experience in organizational developmentA high level of pr ...


  • Tokyo Société Générale ¥60,000 - ¥1,200,000 per year

    We are looking for a Structured finance officer to join our Global Markets group in Tokyo. The successful candidate will contribute to the production of daily activity of Cross Asset financial products, liaise and negotiate with Trading, assist Sales in building client pitches, d ...


  • Tokyo Amadeus Full time¥5,000,000 - ¥10,000,000 per year

    The Customer Success Management Senior Specialist ensures customers maximize the benefits of Amadeus products and identifies additional product opportunities. · Own Customer Success Plan: Involve customers in setting goals and defining KPIs. · Ensure Early Adoption and Usage: Pro ...


  • Tokyo Kroll Part time¥3,000,000 - ¥6,000,000 per year

    We're on the lookout for dynamic individuals to join our Investigations Diligence and Compliance - Specialist Team as Intern. At Kroll, we're not just about transactions; we're about making an impact. As an Intern in our Investigations Diligence and Compliance practice, you'll he ...