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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

Mathematics100
Critical Thinking78
Active Learning75
Complex Problem Solving75
Reading Comprehension75

Work context

Face-to-Face Discussions with Individuals and Within Teams82
Spend Time Sitting72
Indoors, Environmentally Controlled66
Contact With Others59
Spend Time Standing28
Spend Time Walking or Running15
Spend Time Bending or Twisting Your Body8
Indoors, Not Environmentally Controlled5
Spend Time Keeping or Regaining Balance4
Spend Time Kneeling, Crouching, Stooping, or Crawling3
Spend Time Climbing Ladders, Scaffolds, or Poles1

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.

Analyzing98
Exploring90
Organizing66
Persevering54
Operating38
Creating38
Safety-Seeking38
Law-Abiding33
Helping17
Harmonizing10
Influencing4

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.

Will AI replace Mathematician?

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