Science, Engineering & Lab career

Mathematician

Also called: Applied Mathematician · Research Mathematician · Cryptographer · Mathematical Modeler

What mathematicians do, what they earn, how long training takes and how to get started, with official BLS pay data and practical, job-level detail.

Updated By the Career Education Institute Curriculum Team
What does a mathematician do?

Mathematicians conduct research to develop mathematical principles or solve problems by applying mathematical methods. The median pay is $126,710 per year (BLS, May 2025), most people train for about 2–6 years after a bachelor’s, and employment is projected to grow +0.6% from 2025–35.

Pay data: BLS OEWS, May 2025 · Outlook: BLS 2025–35 · Checked October 15, 2026

  • Median pay
    $126,710
    $60.92/hour · May 2025
  • Job growth
    +0.6%
    2025–35, little or no change
  • Openings per year
    100
    Average, 2025–35
  • Typical entry education
    Master's degree
    BLS classification
  • Time to train
    2–6 years after a bachelor’s
    Typical program length
  • U.S. jobs
    2,200
    Employment, 2025

What mathematicians do

Mathematicians use math to answer hard questions. They develop models and algorithms, prove theories, analyze data and work on problems in physics, engineering, finance, cryptography and national security.

Most have a master’s degree or Ph.D. in mathematics. It is a small, well-paid field; many work for the federal government.

Typical duties

  • Develop models
  • Prove theories
  • Design algorithms
  • Analyze data
  • Write papers
  • Collaborate with scientists
  • Present results

Work environment and schedule

Mathematicians work in offices for government, research labs and companies.

Schedule: Full-time, flexible hours.

A day in the life

  1. Work on a proof.
  2. Meet engineers about a model.
  3. Code an algorithm.
  4. Run simulations.

See a full day in the life of a mathematician →

Mathematician salary

Half of mathematicians earned more than $126,710 and half earned less in May 2025. Pay ranged from about $69,240 for the lowest 10% to $195,190 for the top 10%.

Full mathematician pay scale and hourly rates →

How to become a mathematician

  1. Earn a math bachelor’s
  2. Do research
  3. Earn a master’s or Ph.D.
  4. Publish
  5. Get hired

A master’s degree or Ph.D. in mathematics is typical.

Step-by-step guide to becoming a mathematician →

Skills and tools

Technical skills

  • Advanced mathematics
  • Proof writing
  • Modeling
  • Programming
  • Statistics

People skills

  • Persistence
  • Creativity
  • Communication
  • Curiosity

All mathematician skills and tools →

Pros and cons

Pros

  • High pay
  • Deep intellectual work
  • Varied applications
  • Flexible schedules

Cons

  • Advanced degree needed
  • Small field
  • Abstract problems can stall
  • Desk-heavy

Certifications and licenses

  • Ph.D. in mathematics: Common for research.
  • Security clearance: For government roles.
  • Programming certificates: Helpful.
  • Actuarial exams: Optional path.

Career path

  1. Research Assistant: Entry.
  2. Mathematician: Research.
  3. Senior Mathematician: Lead.
  4. Research Director: Lead programs.

Learn the job before day one

Our Mathematician training (10 hours, $89.99) covers the role, 15+ key terms, step-by-step procedures such as turn a real problem into a math model and write a clear mathematical proof, safety and how to land your first job.

Compare: Mathematician vs. Statistician · Mathematician vs. Actuary · Mathematician vs. Data Scientist · Mathematician vs. Math Professor

Mathematician FAQ

Do mathematicians need a Ph.D.?

Often for research; some roles accept a master’s.

Who hires mathematicians?

Government, research labs, tech and finance.

Is the field small?

Yes, BLS counts a few thousand jobs.

How much does a mathematician make?

The median annual wage for mathematicians was $126,710 ($60.92 per hour) in May 2025, according to the U.S. Bureau of Labor Statistics. The lowest 10% earned less than $69,240 and the highest 10% earned more than $195,190.

How long does it take to become a mathematician?

Most people need about 2–6 years after a bachelor’s of training. A master’s degree or Ph.D. in mathematics is typical.

Do you need a degree to be a mathematician?

Yes. BLS lists a master's degree as the typical entry-level education.

More mathematician questions →

Sources

Reviewed by the Career Education Institute Curriculum Team. Pay figures are national estimates; local pay varies. See our editorial policy.

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