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Mathematicians - 15-2021.00

O*NET-SOC Description

Conduct research in fundamental mathematics or in application of mathematical techniques to science, management, and other fields. Solve problems in various fields using mathematical methods.

Sample of Reported Job Titles

  • Computational Mathematician
  • Computational Scientist
  • Cryptographer
  • Cryptographic Vulnerability Analyst
  • Image Scientist
  • Knowledge Engineer
  • Mathematician
  • Research Computing Specialist
  • Research Scientist
  • Researcher

SOC Occupation Groups

Related Occupations


  • Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
  • Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
  • Assemble sets of assumptions, and explore the consequences of each set.
  • Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
  • Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.
  • Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
  • Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
  • Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
  • Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
  • Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
  • Perform computations and apply methods of numerical analysis to data.

Detailed Work Activities

  • Analyze data to identify trends or relationships among variables.
  • Analyze security of systems, network, or data.
  • Apply mathematical principles or statistical approaches to solve problems in scientific or applied fields.
  • Design computer modeling or simulation programs.
  • Determine appropriate methods for data analysis.
  • Develop computer or information security policies or procedures.
  • Develop scientific or mathematical models.
  • Prepare analytical reports.
  • Present research results to others.
  • Update knowledge about emerging industry or technology trends.

Military Crosswalk Titles

  • CWO - Information Warfare Technician (Navy - Warrant Officer only)
  • CWO - Oceanography Warrant Officer (Navy - Warrant Officer only)
  • Defense Systems Analyst (Marine Corps - Commissioned Officer only)
  • LDO - Information Warfare (Navy - Commissioned Officer only)
  • Mathematics Research Officer (Navy - Commissioned or Warrant Officer)
  • Modeling and Simulation Officer (Marine Corps - Commissioned Officer only)
  • Operations Analyst (Marine Corps - Commissioned Officer only)
  • Operations Analyst (Navy - Commissioned or Warrant Officer)
  • Operations Research and Data Analytics (Coast Guard - Commissioned Officer only)
  • Operations Research Specialist (Marine Corps - Commissioned Officer only)
  • Operations Research/Systems Analysis (Army - Commissioned Officer only)
  • Research and Engineering (Army - Commissioned Officer only)
  • RL - Special Duty Officer (Oceanography) (Navy - Commissioned Officer only)
  • RL - Special Duty Officer - Information Warfare Officer (Navy - Commissioned Officer only)
  • Statistical Data Analyst (Navy - Commissioned or Warrant Officer)
  • Test and Evaluation (Army - Commissioned Officer only)
  • Trained Operations Research/System Analysis (ORSA) (Army - Commissioned Officer only)
  • Weapons Technical Officer (Navy - Commissioned or Warrant Officer)

Apprenticeship Crosswalk Titles

No information available.

DOT Crosswalk Titles

  • Mathematician