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Computer & Math · Usually needs a graduate degree

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 called: Agent-Based Modeler, Algebraist, Applied Mathematician, Cipher Expert, Computational Mathematician, Computational Scientist

Is this career right for me?

Median pay

$126,710

per year, U.S.

Pay range (10th–90th)

$69,240 – $195,190

People employed

2,030

Holland code

ICA

Investigative · Conventional · Artistic

Updated October 2026 · Data: O*NET 31.0 and BLS OEWS May 2025 · How we match careers

Is this career right for you?

These are the things that stand out in this job compared with other U.S. jobs (O*NET 31.0 work context). Answer honestly.

  1. 1.Are you happy working mostly on your own, with little contact with others?
  2. 2.Do you prefer doing your own work rather than directing others?
  3. 3.Do you want variety, with new tasks often?
  4. 4.Would you rather not deal with customers or the public?
  5. 5.Do you prefer a steady pace without constant deadlines?
  6. 6.Do you want a job with little physical risk?
  7. 7.Do you want a lot of freedom to make your own decisions?
  8. 8.Do you prefer working indoors?

Mathematicians pay by state

Highest-paying states

Washington$162,280
Virginia$148,030
Maryland$131,810
Illinois$130,970
New York$126,950

Lowest-paying states

Michigan$65,510
Colorado$86,020
Indiana$88,050

Annual median pay by state (12 states with published data). Source: BLS OEWS May 2025.

Mathematicians salary in every state →

What mathematicians do

  1. 01Mentor others on mathematical techniques.
  2. 02Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
  3. 03Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
  4. 04Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
  5. 05Assemble sets of assumptions, and explore the consequences of each set.
  6. 06Perform computations and apply methods of numerical analysis to data.

Skills that matter most

  • Mathematics
  • Critical Thinking
  • Reading Comprehension
  • Active Learning
  • Writing
  • Science

Knowledge

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

Work styles that stand out

  • Attention to Detail
  • Intellectual Curiosity
  • Achievement Orientation
  • Perseverance
  • Innovation

Education and first steps

Bachelor's Degree10%
Master's Degree25%
Post-Master's Certificate5%
First Professional Degree - awarded for completion of a program that: requires at least 2 years of college work before entrance into the program, includes a total of at least 6 academic years of work to complete, and provides all remaining academic requirements to begin practice in a profession.5%
Doctoral Degree45%
Post-Doctoral Training10%

Share of workers by required education, as reported to O*NET.

How people get started

  • Usually needs a graduate degree (O*NET Job Zone 5).
  • Related work experience: over 2 years, up to and including 4 years.
  • On-the-job training: none or short demonstration.
  • A certification can help.

Most common answers from O*NET 31.0 Education, Training and Experience.

Interest fit (Holland code)

O*NET occupational interest scores, scale 1–7. Take the Free Career Test to compare with your own.

Career changes

Change into mathematicians

Jobs whose skills carry over best (skill match, their median pay).

Jobs similar to mathematicians →

Majors that lead here

  • Biomathematics, Bioinformatics, and Computational Biology, Other
  • Mathematics, General
  • Algebra and Number Theory
  • Analysis and Functional Analysis
  • Geometry/Geometric Analysis
  • Topology and Foundations
  • Mathematics, Other
  • Applied Mathematics, General
  • Computational Mathematics
  • Computational and Applied Mathematics
  • Financial Mathematics
  • Mathematical Biology

From the NCES CIP 2020 to SOC 2018 crosswalk.

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Keep exploring

Sources. O*NET 31.0 Database (USDOL/ETA, CC BY 4.0): description, tasks, skills, knowledge, work styles, education, interests and work context. Pay and employment: BLS OEWS May 2025 (national and state). Majors: NCES CIP 2020 to SOC 2018 crosswalk. Data Sources & Licenses