{"schemaVersion":"1.0","exportedAt":"2026-05-15T12:51:09.492Z","occupation":{"soc":"15-2021.00","title":"Mathematicians","group":"Computer & Mathematical","sector":"52","jobZone":5,"jobZoneInferred":false},"framework":{"version":"v.26.05","description":"","contextCovered":"This framework covers theoretical and applied mathematical research, computational analysis, scholarly dissemination, and mentorship performed in academic, government laboratory, and industry R&D environments by practitioners holding advanced degrees.","levels":{"emerging":{"label":"Emerging","statements":["Mathematical notation and symbolic representations — apply to address relationships between quantities, magnitudes, and forms under faculty or senior mathematician guidance.","Numerical analysis methods — execute standard computations on structured datasets within a supervised research or academic laboratory setting.","Professional journals and conference proceedings — review regularly to build foundational awareness of current developments in assigned mathematical subdisciplines.","Algebraic and geometric principles — investigate known relationships and reproduce established proofs under the direction of a research supervisor.","Analytical or scientific software tools — operate to support assigned computational tasks within a university or government research environment.","Sets of assumptions — assemble under supervision and enumerate immediate logical consequences for well-defined, bounded mathematical problems.","Research findings — summarize in written draft reports following established conventions for internal review by a supervising mathematician.","Undergraduate or early graduate students — assist in tutoring sessions on mathematical techniques under the oversight of a lead instructor.","Object-oriented and development environment software — utilize to implement basic algorithms supporting mathematical research tasks.","Literature in traditional areas such as probability and logic — read and synthesize to identify gaps relevant to an assigned research project."]},"developing":{"label":"Developing","statements":["Computations and numerical analysis methods — perform independently on moderately complex datasets within applied research or industry analytical environments.","Relationships between quantities and mathematical forms — explore and document using symbolic reasoning with routine oversight on multi-phase research projects.","Research contributions — disseminate by drafting and submitting papers to peer-reviewed journals or presenting findings at professional conferences.","Algebraic, geometric, and probabilistic frameworks — apply to extend established results in focused research problems with limited senior direction.","Assumption sets for mathematical models — construct and systematically evaluate competing consequences in support of ongoing institutional research.","Professional conferences and peer networks — engage with regularly to stay current and incorporate emerging techniques into daily research practice.","Junior researchers or graduate students — mentor on core mathematical techniques and software tools within a laboratory or departmental setting.","Analytical and scientific software platforms — configure and adapt to address non-standard computational problems arising in research workflows.","Technical reports and research papers — write with clear argumentation and precise notation suitable for submission to domain-specific publications.","Systems of mathematical relationships — analyze using deductive and inductive reasoning to validate model assumptions in applied or theoretical contexts."]},"proficient":{"label":"Proficient","statements":["New mathematical principles and inter-domain relationships — develop autonomously to advance knowledge in areas such as algebra, topology, or stochastic analysis.","Complex, non-routine mathematical problems — solve across the full research lifecycle from problem formulation through proof or computational verification.","Research dissemination strategy — execute by publishing in high-impact journals, delivering invited conference presentations, and contributing to edited volumes.","Comprehensive assumption sets for novel models — assemble and rigorously explore all consequence branches, identifying theoretical boundaries and failure modes.","Numerical analysis and advanced computational methods — apply at scale to large, ambiguous datasets within cross-disciplinary research or industrial R&D environments.","Graduate students and early-career mathematicians — mentor on specialized mathematical techniques, proof strategies, and professional research practice.","Emerging literature across mathematics, physics, and computer science — critically synthesize to identify convergences that open new research directions.","Analytical software, scientific computing platforms, and programming environments — integrate to build reproducible, high-performance mathematical research pipelines.","Oral and written communication of advanced mathematical results — tailor for diverse audiences ranging from specialist peers to interdisciplinary collaborators.","Evaluation of mathematical systems and models — conduct using systems analysis and monitoring methods to assess correctness, scalability, and applicability."]},"advanced":{"label":"Advanced","statements":["Field-level research agenda — define and champion across institutional, funding, and international scholarly communities to shape the trajectory of a mathematical discipline.","Novel theoretical frameworks connecting previously unrelated mathematical domains — originate and validate, producing results with broad scientific impact.","Doctoral researchers and postdoctoral fellows — develop through sustained mentorship, personalized learning strategies, and integration into high-visibility research programs.","Institutional research programs — lead by securing major grants, forming cross-sector partnerships, and aligning mathematical inquiry with national or global priorities.","Peer-reviewed publications, monographs, and keynote addresses — produce at an authoritative level that establishes citation-defining contributions to mathematical science.","Complex assumption-driven models addressing high-stakes real-world problems — architect and oversee from theoretical design through computational deployment in government or industry.","Cross-disciplinary collaboration frameworks — establish between mathematics departments and fields such as physics, computer science, and engineering to accelerate applied innovation.","Organizational knowledge-management systems and research workflows — design and evaluate to maximize productivity and reproducibility across large mathematical research teams.","Standards and best practices for mathematical education and training — develop and promulgate at curriculum, departmental, or national professional-society levels.","Strategic technology adoption — guide at the organizational level by evaluating emerging analytical platforms and development environments for alignment with long-term research objectives."]}}},"sources":{"onet":"v30.2 (CC BY 4.0)","crosswalk":"https://skillscrosswalk.com","generator":"LER.me"},"attribution":"© EBSCOed"}