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Description
Conduct research in pure and applied mathematics, developing theories, models, and algorithms to solve complex problems across science, engineering, business, and other fields.
  • • Apply mathematical theories and techniques to solve practical problems in science, engineering, business, and other fields.
  • • Develop and analyze computational methods and algorithms for real-world applications.
  • • Maintain current knowledge by reading journals, collaborating with peers, and attending conferences.
  • • Perform computations and use numerical analysis to interpret data and evaluate models.
  • • Build and validate mathematical or statistical models for analysis and simulation.
  • • Formulate assumptions and investigate their logical and quantitative implications.
  • • Study relationships among quantities, structures, and forms using numbers and symbols.
  • • Discover new principles or extend existing theories to advance mathematical science.
  • • Design, analyze, or assess cryptographic systems for secure communication.
  • • Conduct research in areas such as algebra, geometry, probability, analysis, or logic.
  • • Disseminate findings through technical reports, publications, and conference presentations.
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Source
Tasks & skills: O*NET occupational data (work activities, skills, knowledge). Learn more
Sources & Standards: This site includes information from O*NET by the U.S. Department of Labor, Employment and Training Administration (USDOL/ETA), used under the CC BY 4.0 license. Career Clutch has modified some of this information for student readability. USDOL/ETA has not approved, endorsed, or tested these modifications. O*NET® is a trademark of USDOL/ETA.
Last reviewed: Jan 2026
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