Mathematicians

Science, Technology, Engineering and MathematicsO*NET 15-2021.00United States

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.

COMING SOON See related ASU learning
Median annual earnings
$126,714

50th percentile, United States

Projected change
+1.6%

2025 to 2035

Typical education
Doctoral degree or more

55% of the workforce

Employment
2.88K jobs

Growing to 2.92K by 2035

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Build the skills

ASU learning related to this career

These courses and certificates are connected through catalog career relationships and Lightcast skill tags.

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The work

What mathematicians do

Tasks reported for this occupation, ordered by how often they come up in the role.

  • Mentor others on mathematical techniques.
  • Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
  • Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
  • Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
  • Assemble sets of assumptions, and explore the consequences of each set.
  • Perform computations and apply methods of numerical analysis to data.
  • Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
  • Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
  • Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
  • Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
  • Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.

Pay and outlook

What the job pays and where it is heading

Annual earnings range

Reported earnings by percentile, United States

10th percentile
$69,243
25th percentile
$88,566
50th percentile
$126,714
75th percentile
$157,019
90th percentile
$195,187

The gold marker shows the median. Half earn more than $126,714 and half earn less.

Employment outlook

2025 to 2035 projection

+1.6%average or slower
20252,875 jobs
2035 projected2,922 jobs

47 more positions over the decade, before replacement hiring.

Preparation

Education levels

What people currently working in the career hold. These are not entry requirements.

Doctoral degree or more
55%
Master's or Professional degree
35%
Bachelor's degree
10%

Skills

Skills employers ask for

Technical skills appearing most often in job postings for this occupation.

  • Advanced Mathematics
  • Statistics
  • Applied Mathematics
  • Artificial Intelligence
  • Large Language Modeling
  • Pipelines
  • ChatGPT
  • AI Testing
  • Profit And Loss (P&L) Management
  • Algorithms
  • Computer Science
  • Python (Programming Language)
  • Physics
  • C++ (Programming Language)
  • Simulations
  • Numerical Analysis
  • MATLAB
  • Applied Research
  • Programming Languages
  • Workflow Management

How the work gets done

Core competencies

Broad capabilities associated with strong performance in this occupation.

Mathematics
Using mathematics to solve problems.
Critical Thinking
Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions, or approaches to problems.
Active Learning
Understanding the implications of new information for both current and future problem-solving and decision-making.
Reading Comprehension
Understanding written sentences and paragraphs in work-related documents.
Complex Problem Solving
Identifying complex problems and reviewing related information to develop and evaluate options and implement solutions.
Judgment and Decision Making
Considering the relative costs and benefits of potential actions to choose the most appropriate one.
Writing
Communicating effectively in writing as appropriate for the needs of the audience.
Science
Using scientific rules and methods to solve problems.
Active Listening
Giving full attention to what other people are saying, taking time to understand the points being made, asking questions as appropriate, and not interrupting at inappropriate times.
Speaking
Talking to others to convey information effectively.
Learning Strategies
Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things.
Instructing
Teaching others how to do something.
Systems Analysis
Determining how a system should work and how changes in conditions, operations, and the environment will affect outcomes.
Systems Evaluation
Identifying measures or indicators of system performance and the actions needed to improve or correct performance, relative to the goals of the system.
Monitoring
Monitoring/Assessing performance of yourself, other individuals, or organizations to make improvements or take corrective action.
Coordination
Adjusting actions in relation to others' actions.
Social Perceptiveness
Being aware of others' reactions and understanding why they react as they do.
Time Management
Managing one's own time and the time of others.
Persuasion
Persuading others to change their minds or behavior.
Programming
Writing computer programs for various purposes.

In the market

Job titles and employers

Recent job postings in United States

Common job titles

  1. 01Mathematics Specialists181 postings
  2. 02Mathematics Editors110 postings
  3. 03Mathematicians51 postings
  4. 04Research Aerospace Engineers51 postings
  5. 05Applied Mathematicians49 postings
  6. 06Game Designers11 postings
  7. 07Simulation Engineers11 postings
  8. 08Navigators8 postings
  9. 09Postdoctoral Research Fellows7 postings
  10. 10Postdoctoral Associates6 postings
  11. 11Basketball Managers5 postings
  12. 12MEMS Engineers5 postings
  13. 13Arch Experts4 postings
  14. 14Baseball Coaches4 postings
  15. 15Computational Scientists4 postings
  16. 16GNC Engineers4 postings
  17. 17Modeling and Simulation Engineers4 postings
  18. 18Postdoctoral Fellows4 postings
  19. 19Quantitative Researchers4 postings
  20. 20Quantum Computing Research Scientists4 postings

Top employers

  1. 01Turing285 postings
  2. 02Analytical Mechanics Associates53 postings
  3. 03MITRE Corporation20 postings
  4. 04Garland Independent School District11 postings
  5. 05Data Machines Corp.10 postings
  6. 06Modern Technology Solutions10 postings
  7. 07International Game Technology9 postings
  8. 08LNW Gaming and Systems6 postings
  9. 09Light & Wonder6 postings
  10. 10NIST6 postings
  11. 11Boeing5 postings
  12. 12Dayton Public Schools5 postings
  13. 13Mercor S.A.5 postings
  14. 14Clearancejobs4 postings
  15. 15Dorchester School District 24 postings
  16. 16Frazer-Nash Research Ltd4 postings
  17. 17Indiana University-Bloomington4 postings
  18. 18Johns Hopkins Applied Physics Lab4 postings
  19. 19Moseley Technical Services4 postings
  20. 20National Security Agency4 postings

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