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.
Most important skills
- Mathematics
- Critical Thinking
- Reading Comprehension
- Active Learning
- Complex Problem Solving
- Judgment and Decision Making
- Writing
- Science
Key knowledge
- Mathematics
- Education and Training
- Computers and Electronics
- English Language
- Physics
- Engineering and Technology
- Communications and Media
- Administration and Management
What the work involves
- 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.
Strongest interest areas (O*NET): Investigative, Conventional, Artistic.
Qualifications and licensing
- Most common education
- Doctoral Degree (45% of respondents)
- Related experience
- Over 2 years, up to and including 4 years (30%)
- On-the-job training
- None or short demonstration (35%)
- Preparation level
- O*NET job zone 5: Job Zone Five: Extensive Preparation Needed
- Licensing
- Not yet verified. Check your state licensing board.
Check before planning
- Licensing for Mathematicians is not yet verified for any state: check the state licensing board before planning.
Limits
- Distributions show what current workers or occupational experts report, not legal minimums.
- Requirements vary by employer and state; time to qualify is not estimated.
Source: O*NET 31.0 Database (USDOL/ETA, CC BY 4.0); BLS Employment Projections · dataset 2026.10.8 · method e3-qualification-1.0.0
Work environment
How the typical conditions of this occupation compare with 911 occupations in O*NET (very low = the lowest fifth).
Levels are relative. Most occupations involve a lot of contact with people, for example, so “very low” can still mean regular contact; the last column shows what workers actually reported.
| Condition | Level | Compared with other occupations | Most common answer (O*NET survey) |
|---|---|---|---|
| Contact with others | Very low | Lower on contact with others than 97% of occupations compared | 30% of surveyed respondents chose “Contact with others about half the time” |
| Dealing with the public | Very low | Lower on dealing with the public than 93% of occupations compared | 50% of surveyed respondents chose “Not important at all” |
| Teamwork | Very low | Lower on teamwork than 92% of occupations compared | 39% of surveyed respondents chose “Very important” |
| Freedom to make decisions | Very high | Higher on freedom to make decisions than 80% of occupations compared | 65% of surveyed respondents chose “A lot of freedom” |
| Time pressure | Very low | Lower on time pressure than 91% of occupations compared | 35% of surveyed respondents chose “Once a month or more but not every week” |
| Conflict situations | Very low | Lower on conflict situations than 97% of occupations compared | 55% of surveyed respondents chose “Once a year or more but not every month” |
| Dealing with unpleasant or angry people | Very low | Lower on dealing with unpleasant or angry people than 91% of occupations compared | 40% of surveyed respondents chose “Once a year or more but not every month” |
| Consequence of error | Very low | Lower on consequence of error than 84% of occupations compared | 32% of surveyed respondents chose “Not serious at all” |
Work-pressure profile
- Time pressure: very low
- Conflict situations: very low
- Dealing with unpleasant or angry people: very low
- Consequence of error: very low
Each part is shown on its own. There is no combined stress score, and conditions vary by employer and role.
Full answer distributions
Contact with others
- No contact with others: 0%
- Occasional contact with others: 25%
- Contact with others about half the time: 30%
- Contact with others most of the time: 30%
- Constant contact with others: 15%
n = 20, Occupational Expert 08/2025
Dealing with the public
- Not important at all: 50%
- Fairly important: 20%
- Important: 15%
- Very important: 10%
- Extremely important: 5%
n = 20, Occupational Expert 08/2025
Teamwork
- Not important at all: 11.11%
- Fairly important: 11.11%
- Important: 22.22%
- Very important: 38.89%
- Extremely important: 16.67%
n = 18, Occupational Expert 08/2025
Freedom to make decisions
- No freedom: 5%
- Very little freedom: 0%
- Limited freedom: 0%
- Some freedom: 30%
- A lot of freedom: 65%
n = 20, Occupational Expert 08/2025
Time pressure
- Never: 5%
- Once a year or more but not every month: 25%
- Once a month or more but not every week: 35%
- Once a week or more but not every day: 20%
- Every day: 15%
n = 20, Occupational Expert 08/2025
Conflict situations
- Never: 30%
- Once a year or more but not every month: 55%
- Once a month or more but not every week: 10%
- Once a week or more but not every day: 5%
- Every day: 0%
n = 20, Occupational Expert 08/2025
Dealing with unpleasant or angry people
- Never: 35%
- Once a year or more but not every month: 40%
- Once a month or more but not every week: 15%
- Once a week or more but not every day: 5%
- Every day: 5%
n = 20, Occupational Expert 08/2025
Consequence of error
- Not serious at all: 31.58%
- Fairly serious: 31.58%
- Serious: 21.05%
- Very serious: 10.53%
- Extremely serious: 5.26%
n = 19, Occupational Expert 08/2025
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O*NET-SOC 15-2021.00 · SOC 15-2021 (exact, high confidence) · dataset 2026.10.8