{"schemaVersion":"jobsearcher.job.v1","id":"f3a5d1abe4f53c53e3f50c06","url":"https://jobsearcher.com/jobs/f3a5d1abe4f53c53e3f50c06","canonicalUrl":"https://jobsearcher.com/jobs/f3a5d1abe4f53c53e3f50c06","title":"Mathematical Formalization Specialist - Remote","description":"Mathematical Formalization Specialist – Remote\r\nJoin to apply for the Mathematical Formalization Specialist – Remote role at Alignerr\r\nAbout 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.\r\nRole 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.\r\nWhat You'll Do\r\nTranslate informal mathematical proofs into Lean (and related proof systems) with an emphasis on clarity, structure, and correctness.\r\nAnalyze generic and domain-specific proofs, identifying gaps, hidden assumptions, and formalizable sub-structures.\r\nConstruct formalizations that test the limits of existing proof assistants—especially where tools struggle or fail.\r\nCollaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines.\r\nDevelop highly readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms.\r\nProvide guidance on proof decomposition, lemma selection, and structuring techniques for formal models.\r\nWhat You Bring – Must-Have\r\nMaster's degree (or higher) in Mathematics, Logic, Theoretical Computer Science, or a closely related field.\r\nStrong foundation in rigorous proof writing and mathematical reasoning across areas such as algebra, analysis, topology, logic, or discrete math.\r\nHands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable systems—with Lean strongly preferred.\r\nDeep enthusiasm for formal verification, proof assistants, and the future of mechanized mathematics.\r\nAbility to translate informal arguments into clean, structured formal proofs.\r\nNice-to-Have\r\nFamiliarity with type theory, Curry–Howard correspondence, and proof automation tools.\r\nExperience with large-scale formalization projects (e.g., mathlib).\r\nExposure to theorem provers where automated reasoning frequently fails or requires manual scaffolding.\r\nStrong communication skills for explaining formalization decisions, edge cases, and reasoning strategies.\r\nIdeal Candidate\r\nA 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.\r\nSample Work You Might Do\r\nFormalize classical proofs and compare machine-verifiable structures against textbook arguments.\r\nInvestigate where automated provers break down, and articulate why (complexity, missing lemmas, insufficient libraries, etc.).\r\nCreate Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics.\r\nCompensation: $50 – $150 per hour\r\nJ-18808-Ljbffr","company":"Alignerr","rawCompany":"alignerr","city":"Millbrae","state":"CA","isRemote":true,"isActive":true,"createdAt":"2026-04-09T15:27:42.947Z","occupations":[{"code":"15-2021.00","title":"Mathematicians","slug":"mathematicians"},{"code":"15-2099.00","title":"Mathematical Science Occupations, All Other","slug":"mathematical-science-occupations-all-other"},{"code":"15-1221.00","title":"Computer and Information Research Scientists","slug":"computer-and-information-research-scientists"}],"industries":[{"code":"541511","title":"Custom Computer Programming Services","slug":"custom-computer-programming-services"},{"code":"541990","title":"All Other Professional, Scientific, and Technical Services","slug":"all-other-professional-scientific-and-technical-services"},{"code":"513210","title":"Software Publishers","slug":"software-publishers"}],"jobPosting":{"@context":"https://schema.org","@type":"JobPosting","title":"Mathematical Formalization Specialist - Remote","description":"Mathematical Formalization Specialist – Remote\r\nJoin to apply for the Mathematical Formalization Specialist – Remote role at Alignerr\r\nAbout 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.\r\nRole 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.\r\nWhat You'll Do\r\nTranslate informal mathematical proofs into Lean (and related proof systems) with an emphasis on clarity, structure, and correctness.\r\nAnalyze generic and domain-specific proofs, identifying gaps, hidden assumptions, and formalizable sub-structures.\r\nConstruct formalizations that test the limits of existing proof assistants—especially where tools struggle or fail.\r\nCollaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines.\r\nDevelop highly readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms.\r\nProvide guidance on proof decomposition, lemma selection, and structuring techniques for formal models.\r\nWhat You Bring – Must-Have\r\nMaster's degree (or higher) in Mathematics, Logic, Theoretical Computer Science, or a closely related field.\r\nStrong foundation in rigorous proof writing and mathematical reasoning across areas such as algebra, analysis, topology, logic, or discrete math.\r\nHands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable systems—with Lean strongly preferred.\r\nDeep enthusiasm for formal verification, proof assistants, and the future of mechanized mathematics.\r\nAbility to translate informal arguments into clean, structured formal proofs.\r\nNice-to-Have\r\nFamiliarity with type theory, Curry–Howard correspondence, and proof automation tools.\r\nExperience with large-scale formalization projects (e.g., mathlib).\r\nExposure to theorem provers where automated reasoning frequently fails or requires manual scaffolding.\r\nStrong communication skills for explaining formalization decisions, edge cases, and reasoning strategies.\r\nIdeal Candidate\r\nA 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.\r\nSample Work You Might Do\r\nFormalize classical proofs and compare machine-verifiable structures against textbook arguments.\r\nInvestigate where automated provers break down, and articulate why (complexity, missing lemmas, insufficient libraries, etc.).\r\nCreate Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics.\r\nCompensation: $50 – $150 per hour\r\nJ-18808-Ljbffr","datePosted":"2026-04-09T15:27:42.947Z","dateModified":"2026-04-09T15:27:42.947Z","hiringOrganization":{"@type":"Organization","name":"Alignerr","sameAs":"https://jobsearcher.com"},"jobLocationType":"TELECOMMUTE","applicantLocationRequirements":{"@type":"Country","name":"US"},"jobLocation":{"@type":"Place","address":{"@type":"PostalAddress","addressLocality":"Millbrae","addressRegion":"CA","addressCountry":"US"}},"identifier":{"@type":"PropertyValue","name":"JobSearcher","value":"f3a5d1abe4f53c53e3f50c06"},"url":"https://jobsearcher.com/jobs/f3a5d1abe4f53c53e3f50c06"}}