Mathematicians
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.
Also known as: Agent-Based Modeler, Algebraist, Applied Mathematician, Cipher Expert, Computational Mathematician, Computational Scientist, Cryptanalyst, Cryptographer, ...
Annual Salary
Median annual wage (May 2024)
Job Outlook
Projected growth, 2024–2034 (Declining)
What You'd Do
- 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.
- 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.
- Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
- Assemble sets of assumptions, and explore the consequences of each set.
- Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
- Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
- Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
- Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
- Mentor others on mathematical techniques.
- Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.
Top Skills
Importance scale: 1 (low) – 5 (high)
Knowledge Areas
Importance scale: 1 (low) – 5 (high)
Education Level Distribution
Percentage of workers in this occupation by education level
Technology & Tools
Software and tools commonly used in this role
In-Demand Technologies
Work Styles
Personality traits and work styles important for this career
Key Abilities
Cognitive, physical, and sensory abilities important for this role
Importance scale: 1 (low) – 5 (high)
Work Activities
General types of job behaviors occurring on this job
Importance scale: 1 (low) – 5 (high)
Work Environment
Physical and social factors that influence the nature of work
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Salary data: BLS Occupational Employment and Wage Statistics, May 2024. Outlook data: BLS Employment Projections, 2024–2034.
This page includes information from the O*NET 30.2 Database by the U.S. Department of Labor, Employment and Training Administration (USDOL/ETA). Used under the CC BY 4.0 license.