What You'll Do

  • Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
  • Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
  • Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
  • Perform computations and apply methods of numerical analysis to data.
  • Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
  • Assemble sets of assumptions, and explore the consequences of each set.
  • Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
  • Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
  • Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.
  • Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.

Essential Skills

Mathematics 5.0/5
Critical Thinking 4.12/5
Reading Comprehension 4.0/5
Active Learning 4.0/5
Complex Problem Solving 4.0/5
Judgment and Decision Making 3.75/5
Writing 3.62/5
Science 3.62/5
Active Listening 3.38/5
Speaking 3.25/5
Learning Strategies 3.25/5
Monitoring 3.0/5

Career Fit Overview

Use this summary to sense whether the day to day rhythm and focus of this path line up with what energizes you.

Top passions

  • Analyst: Investigating problems and finding patterns keeps you engaged.
  • Organizer: Bringing order to data and processes satisfies you.
  • Artist: Creating original work and expressing ideas feels natural.

Common styles

Analytical Thinking, Attention to Detail, Persistence, Integrity, Innovation

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Key Abilities

This career demands strong capabilities in the following areas:

Mathematical Reasoning 5.0/5
Number Facility 4.62/5
Oral Comprehension 4.12/5
Written Comprehension 4.12/5
Oral Expression 4.12/5
Written Expression 4.12/5
Deductive Reasoning 4.0/5
Inductive Reasoning 3.88/5

Technologies & Tools

Adobe Photoshop Algae AMPL Analyse-it Analysis and Visualization of Time Sequences AVTS Apfloat Apple macOS Apple Shazam Aptech Systems GAUSS ARfit Atlassian JIRA Aztec Bash C C# C++ Cascading style sheets CSS Computer Algebra System for Algebraic Geometry CASA Data visualization software DataDescription DataDesk

Work Environment & Style

Common Styles for This Career

  • Analytical Thinking (High importance: 4.75/5)
  • Attention to Detail (High importance: 4.45/5)
  • Persistence (High importance: 4.35/5)
  • Integrity (High importance: 4.3/5)
  • Innovation (High importance: 4.25/5)

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How to Become One

This career requires extensive preparation, typically including a graduate degree (Master's or Doctoral) and several years of experience. Most professionals in this field have invested significant time in education and training.

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Also Known As

This career is known by many different job titles across industries. Here are all the variations:

Agent-Based Modeler Algebraist Applied Mathematician Cipher Expert Computational Mathematician Computational Scientist Cryptanalyst Cryptographer Cryptographic Vulnerability Analyst Engineering Mathematician Game Mathematician Geometrician Math Researcher (Mathematics Researcher) Mathematician Research Computing Specialist Research Scientist Researcher