# 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)