Mathematicians develop and apply mathematical theory and methods to solve real-world problems across science, engineering, and technology. The work is analytical and creative, rooted in deep expertise, and requires advanced study. Here is what it involves and how to prepare.
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Mathematicians think creatively to develop new theories and methods, then analyze data and information to test and refine them. You will spend time processing complex information, updating your knowledge as the field evolves, and working with computers to model problems and run calculations. Many mathematicians also train and teach others, sharing their expertise with students and colleagues. The work draws on deep knowledge of mathematics, physics, engineering, and related fields.
Core work activities
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Mathematicians earn a median of $126,710 a year, based on 2025 data from the U.S. Bureau of Labor Statistics. Pay rises with experience, specialty, and location.
The outlook is softer here. Employment is projected to fall 1 percent from 2024 to 2034, though there are still about 100 openings a year from turnover.
Top skills
Knowledge areas
This path requires extensive preparation and a doctoral degree. You will start with a strong foundation in mathematics and related sciences at the undergraduate level, then pursue graduate study to develop specialized expertise and conduct original research. Graduate programs typically involve coursework, independent research, and a dissertation. Throughout your education, you will build critical thinking, reading comprehension, active learning, and writing skills that are central to mathematical work. Your counselor can help you identify programs that match your interests.
Most mathematicians earn a doctoral degree after completing bachelor's and master's level work. The timeline and focus of your studies depend on your goals and interests, so if you are mapping out the full path, Pathly can map the mathematician path that fits you and work through it with your counselor to stay on track.
You do not need a license to work as a mathematician, but professional certifications can strengthen your resume.
Common certifications
You are drawn to investigative work that requires deep thinking, problem-solving, and the ability to work with abstract concepts and complex systems.
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Last updated July 1, 2026.
Data sources. Career details from the O*NET 30.3 Database by the U.S. Department of Labor, Employment and Training Administration (USDOL/ETA), used under CC BY 4.0. O*NET® is a trademark of USDOL/ETA. Salary and outlook figures from the U.S. Bureau of Labor Statistics (May 2025 wages; 2024–2034 projections), delivered via the CareerOneStop API. Certification, licensing, wage, and outlook data from CareerOneStop, sponsored by USDOL/ETA and the Minnesota Department of Employment and Economic Development (DEED).