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Mathematician
Mathematician profiles score highest on Analyzing and Exploring. This page covers what the work involves, what the trait profile looks like, what it pays, and where the fit tends to break.
- Median pay
- $126,710per year, U.S. BLS 2025
- Entry education
- Graduate or professional degreetypical for the occupation
SOURCE · O*NET 15-2021.00 and U.S. Bureau of Labor Statistics. Figures are national and vary widely by state and setting.
What the work involves
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.
Skills rated most important
Work context
O*NET importance and frequency ratings, 0–100.
The trait profile
Where Mathematician profiles sit on the eleven Haliscope traits, derived from O*NET’s published interest and work-style data.
Who it fits, and who it doesn’t
Strong signals
- High Analyzing. Measures your drive to understand systems and solve problems. High scorers are knowledge-seeking, strategic thinkers who enjoy investigating and finding solutions.
- Low Helping. Measures your orientation toward supporting and serving others. High scorers find fulfillment in teaching, counseling, and contributing to others' success.
- Low Influencing. Measures your drive to lead, persuade, and shape outcomes. High scorers are confident communicators who naturally take charge and direct others.
- High Organizing. Measures your preference for structure, detail, and systematic processes. High scorers excel at creating order, optimizing workflows, and maintaining precision.
- High Exploring. Measures your openness to new experiences and curiosity about the unknown. High scorers seek novelty, enjoy experimentation, and value the journey itself.
- Low Harmonizing. Measures your focus on group cohesion and interpersonal peace. High scorers build consensus, facilitate cooperation, and prioritize team harmony.
- Low Law-Abiding. Measures your commitment to ethics, rules, and fairness. High scorers value honesty, follow procedures, and prefer environments with clear moral guidelines.
Friction points
- Low Analyzing. Measures your drive to understand systems and solve problems. High scorers are knowledge-seeking, strategic thinkers who enjoy investigating and finding solutions.
- High Helping. Measures your orientation toward supporting and serving others. High scorers find fulfillment in teaching, counseling, and contributing to others' success.
- High Influencing. Measures your drive to lead, persuade, and shape outcomes. High scorers are confident communicators who naturally take charge and direct others.
- Low Organizing. Measures your preference for structure, detail, and systematic processes. High scorers excel at creating order, optimizing workflows, and maintaining precision.
- Low Exploring. Measures your openness to new experiences and curiosity about the unknown. High scorers seek novelty, enjoy experimentation, and value the journey itself.
- High Harmonizing. Measures your focus on group cohesion and interpersonal peace. High scorers build consensus, facilitate cooperation, and prioritize team harmony.
- High Law-Abiding. Measures your commitment to ethics, rules, and fairness. High scorers value honesty, follow procedures, and prefer environments with clear moral guidelines.
These are what the occupation’s profile says, not a hiring criterion. Haliscope is not validated for hiring or screening, and none of these is disqualifying — they are where a fit most often breaks.
Getting in
Entry education: Graduate or professional degree.
Most of these occupations require graduate school. For example, they may require a master's degree, and some require a Ph.D., M.D., or J.D. (law degree).
Extensive skill, knowledge, and experience are needed for these occupations. Many require more than five years of experience. For example, surgeons must complete four years of college and an additional five to seven years of specialized medical training to be able to do their job.
O*NET Job Zone descriptions, U.S. Department of Labor.
Exposure to AI
How much of this work AI can already do, and how much AI tools help the people doing it, is scored task by task in the AI Risk Index.
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