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Technology & AI
Google, Microsoft, NVIDIA
Mathematicians
Mathematicians turn abstract questions into equations, proofs, and models, then use those tools to solve problems in science, engineering, business, and technology. The work can shift from pure theory to coding and simulation, but the tradeoff is a narrow job market that usually demands advanced graduate training and original research.
Also known as Applied MathematicianResearch MathematicianComputational MathematicianMathematical ScientistMathematical Modeler
Median Salary
$121,680
Mean $122,520
U.S. Workforce
~2K
0.1K openings per year
10-Year Growth
+-0.7%
2.4K to 2.4K
Entry Education
Master's degree
+ None experience
What This Role Looks Like in Practice
Mathematicians sits in the Science category. In practical terms, this role combines day-to-day execution, cross-team coordination, and consistent decision-making under real business constraints.
U.S. employment is currently about ~2K workers, with a median annual pay of $121,680 and roughly 0.1K openings each year. Based on BLS projections, total employment is expected to decline from 2.4 K in 2024 to 2.4K in 2034.
Most hiring paths start with Doctoral degree in mathematics or a specialty area, and employers typically expect none of related experience. Many careers in this track begin around Mathematics Analyst and can progress toward Principal Mathematician. High-value skills usually include Mathematics, Python, R & Statistical Software, and MATLAB, Mathematica & Symbolic Computation, paired with soft skills such as Critical Thinking, Active Learning, and Complex Problem Solving.
Core Responsibilities
- Translate real-world quantities, patterns, and shapes into equations and symbols.
- Use advanced math to solve practical problems in business, engineering, science, or technology.
- Try out different assumptions and compare how each version changes the result.
- Research topics like algebra, geometry, probability, and logic to add new mathematical knowledge.
Keep exploring: more Science careers or browse all job titles.
A Day in the Life
01 Translate real-world quantities, patterns, and shapes into equations and symbols.
02 Use advanced math to solve practical problems in business, engineering, science, or technology.
03 Try out different assumptions and compare how each version changes the result.
04 Research topics like algebra, geometry, probability, and logic to add new mathematical knowledge.
05 Build computational methods and simulations for problems in science, engineering, or industry.
06 Share results through reports, papers, and conference presentations.
Industries That Hire
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Finance & Insurance
JPMorgan Chase, Citadel, Capital One
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Aerospace & Defense
Lockheed Martin, Boeing, Northrop Grumman
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Pharmaceuticals & Biotech
Pfizer, Moderna, Genentech
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Consulting & Analytics
McKinsey, Accenture, Booz Allen Hamilton
Pros and Cons
Advantages
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The pay is strong, with a mean annual wage of $122,520 and a median of $121,680.
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The work ranges from pure theory to practical modeling, so the problems stay intellectually demanding.
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You can move between industries like tech, finance, defense, and research without changing the core skill set.
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There is no required work experience and no on-the-job training, so the main barrier is education rather than apprenticeships.
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The job often includes publishing, presenting, and teaching, which keeps the work varied instead of purely solitary.
Challenges
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This is a very small occupation, with only 2,220 jobs and about 100 annual openings, so competition can be intense.
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Employment is projected to slip by 0.7% through 2034, which means the field is not adding much capacity.
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The education bar is high: 45% of workers have doctorates and 25% have master's degrees, so many candidates spend years in graduate school before they are competitive.
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A lot of the work depends on research funding, lab budgets, or specialized project demand, so jobs can be concentrated in a few employers and sectors.
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Routine modeling can be automated or shifted to software tools, so the safest career path is often highly specialized research rather than standard analytical work.
Career Progression
Mathematics Analyst
0-2 years
$70K-$95K
Supports senior staff by checking calculations, cleaning data, and running smaller modeling tasks.
Mathematician
2-6 years
$105K-$135K
Builds models, tests assumptions, and solves defined research or applied problems independently; this tier includes the $121,680 median pay.
Senior Mathematician THIS ROLE
6-12 years
$135K-$170K
Leads larger projects, designs new methods, and mentors junior analysts or researchers.
Principal Mathematician
12+ years
$170K-$220K
Sets the research direction for a team or lab and influences the hardest technical decisions.
Education Paths
Doctoral degree in mathematics or a specialty area
The most common path, held by 45% of workers in this role, and the clearest route into research-heavy mathematician jobs.
Master's degree in mathematics, applied math, or statistics
A master's degree is the BLS typical entry point and appears for 25% of workers, especially in applied and industry-focused roles.
Bachelor's degree with very strong quantitative experience
A bachelor's degree shows up for 10% of workers, usually in narrower applied roles or as a stepping-stone to graduate school.
Post-doctoral training
Post-doctoral training accounts for 10% of workers and is common for people aiming at research leadership or academic-style work.
Key Skills
Technical
Mathematics 100%
Python, R & Statistical Software 94%
MATLAB, Mathematica & Symbolic Computation 92%
Optimization & Numerical Methods 89%
Statistical Modeling & Probability 87%
Scientific Computing & Simulation 84%
LaTeX, TeX & Academic Publishing 72%
Soft Skills
Critical ThinkingActive LearningComplex Problem SolvingReading ComprehensionJudgment and Decision MakingWriting Job Outlook and Trends
+-0.7%
Projected growth (2024-2034)
0.1K
Annual job openings
Employment is projected to rise from 2.4K to 2.4 K over the next decade, representing -0.7% growth. Around 0.1 K openings per year include both newly created roles and replacement hiring from turnover.
Remote availability is currently Moderate. Demand remains strongest where employers need practical domain knowledge plus modern workflow and data skills.