Staff role

Mathematician

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.

O*NET reports this occupation under titles such as: Agent-Based Modeler; Computational Mathematician; Computational Scientist; Cryptographer; Cryptographic Vulnerability Analyst; Mathematician; Research Computing Specialist; Research Scientist; Researcher

Tasks

  • Mentor others on mathematical techniques.
  • Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
  • 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.
  • Assemble sets of assumptions, and explore the consequences of each set.
  • Perform computations and apply methods of numerical analysis to data.
  • Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
  • Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
  • Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
  • Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
  • Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.

Knowledge

  • Mathematics
  • Education and Training
  • Computers and Electronics
  • English Language
  • Physics

Skills

  • Mathematics
  • Critical Thinking
  • Reading Comprehension
  • Active Learning
  • Writing
  • Science
  • Active Listening
  • Speaking
  • Learning Strategies
  • Monitoring

Abilities

  • Mathematical Reasoning
  • Number Facility
  • Oral Comprehension
  • Written Comprehension
  • Oral Expression
  • Written Expression
  • Deductive Reasoning
  • Inductive Reasoning
  • Information Ordering
  • Category Flexibility
  • Fluency of Ideas
  • Originality
  • Problem Sensitivity
  • Near Vision
  • Flexibility of Closure
  • Selective Attention
  • Speech Clarity
  • Speech Recognition

This page includes information from the O*NET 31.0 Database by the U.S. Department of Labor, Employment and Training Administration (USDOL/ETA). Used under the CC BY 4.0 license. O*NET® is a trademark of USDOL/ETA.

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