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skillfactor-pipeline/skills/mathematician/references/skills.md
skillfactor-pipeline af05383bb1 chore: v1 baseline - full 3,039-package catalog with AI-skill enrichment and O*NET backfill
Snapshot before the quality program (relevance gates, tiered mapping,
QA linter). v1 is the immutable before/after reference; evidence crawl
was at ~175/3039 occupations when tagged.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01PDKeXvpT6tENSvyQGLV1Uq
2026-07-09 05:32:49 +02:00

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# Competences — mathematician
Source: ESCO v1.2.1 occupation-skill relations (http://data.europa.eu/esco/occupation/72628f3a-fd49-499a-9741-870b0a1fcef2).
## Essential
- **algebra** (knowledge)
- **apply for research funding** (skill/competence)
- **apply research ethics and scientific integrity principles in research activities** (skill/competence)
- **apply scientific methods** (skill/competence)
- **communicate mathematical information** (skill/competence)
- **communicate with a non-scientific audience** (skill/competence)
- **conduct quantitative research** (skill/competence)
- **conduct research across disciplines** (skill/competence)
- **create solutions to problems** (skill/competence)
- **demonstrate disciplinary expertise** (skill/competence)
- **develop professional network with researchers and scientists** (skill/competence)
- **digital data processing** (nan)
- **disseminate results to the scientific community** (skill/competence)
- **draft scientific or academic papers and technical documentation** (skill/competence)
- **evaluate research activities** (skill/competence)
- **execute analytical mathematical calculations** (skill/competence)
- **increase the impact of science on policy and society** (skill/competence)
- **integrate gender dimension in research** (skill/competence)
- **interact professionally in research and professional environments** (skill/competence)
- **manage findable accessible interoperable and reusable data** (skill/competence)
- **manage intellectual property rights** (skill/competence)
- **manage open publications** (skill/competence)
- **manage personal professional development** (skill/competence)
- **manage research data** (skill/competence)
- **mathematical modelling** (knowledge)
- **mathematics** (knowledge)
- **mentor individuals** (skill/competence)
- **Monte Carlo simulation** (knowledge)
- **numerical sequences** (knowledge)
- **operate open source software** (skill/competence)
- **perform project management** (skill/competence)
- **perform scientific research** (skill/competence)
- **promote open innovation in research** (skill/competence)
- **promote the participation of citizens in scientific and research activities** (skill/competence)
- **promote the transfer of knowledge** (skill/competence)
- **publish academic research** (skill/competence)
- **scientific modelling** (knowledge)
- **scientific research methodology** (knowledge)
- **speak different languages** (skill/competence)
- **statistics** (knowledge)
- **study the relationships between quantities** (skill/competence)
- **synthesise information** (skill/competence)
- **think abstractly** (skill/competence)
- **write scientific publications** (skill/competence)
## Optional
- algorithms (knowledge)
- apply blended learning (skill/competence)
- apply statistical analysis techniques (skill/competence)
- assist scientific research (skill/competence)
- carry out statistical forecasts (skill/competence)
- computer science (knowledge)
- computer simulation (knowledge)
- create software design (skill/competence)
- data science (knowledge)
- develop financial statistics reports (skill/competence)
- develop scientific theories (skill/competence)
- develop statistical software (skill/competence)
- empirical analysis (knowledge)
- geometry (knowledge)
- instrumentation engineering (knowledge)
- logic (knowledge)
- mathematical economics (knowledge)
- mathematical physics (knowledge)
- mechanical engineering (knowledge)
- metalogic (knowledge)
- operational research (knowledge)
- perform lectures (skill/competence)
- philosophy (knowledge)
- philosophy of mathematics (knowledge)
- prepare lesson content (skill/competence)
- provide lesson materials (skill/competence)
- quantitative analysis (knowledge)
- quantum computing (knowledge)
- SAS language (knowledge)
- set theory (knowledge)
- statistical analysis system software (knowledge)
- statistical modeling techniques (knowledge)
- supercomputing (knowledge)
- teach in academic or vocational contexts (skill/competence)
- use software tools for site modelling (skill/competence)
- use spreadsheets software (skill/competence)