How a mathematician can use AI, task by task

O*NET 15-2021.00: MathematiciansMedian pay $126,710/year (BLS, May 2025)12 tasksJob Zone 5: Extensive preparation

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.

Your job title Type your own title and every prompt on this page updates to match. Also called: Agent-Based Modeler, Computational Mathematician, Computational Scientist, Cryptographer, Cryptographic Vulnerability Analyst, Mathematician, Research Computing Specialist, Research Scientist, Researcher.

Where AI fits in this job

AI-ready 23%AI-assist 67%Stays human 10%

Share of the job's tasks, weighted by how important and how frequent each task is (O*NET ratings). 3 AI-ready, 8 AI-assist and 1 human-led tasks out of 12. This measures where AI can help, not whether the job will disappear.

Information & paperwork

Thinking & planning

People & communication

Leading & teaching

Hands-on & physical

Shape of the job: importance of each kind of work activity (O*NET, 1 to 5).

🗓 Start here on Monday

The most frequent, most important tasks where AI can help right away.

Mentor others on mathematical techniques.Explain it clearly · Weekly
Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.Stay sharp · Weekly
Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.Crunch the numbers · Weekly

💪 Lean into these

Core tasks that stay human. These skills get more valuable as the routine work gets automated.

Assemble sets of assumptions, and explore the consequences of each set.Hands-on work · Weekly

Skills to build & where you could move ↓

AI can draft these 3

AI produces a usable first pass. You review it, fix it and own it.

Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.

Weekly

AI is a patient tutor for new rules and techniques.

Show prompt & steps

AI is a patient personal tutor. It explains new rules, techniques and technology at your level, quizzes you and builds a study plan.

Ready-to-use prompt

I work as a mathematician. Part of my job is to maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.

Context: The work draws on mathematics, physics and education and training.
Industry: [describe]
Focus: [technology, best practices]

Summarize trends, what they mean for my role, and sources to follow. Use examples from my line of work, quiz me with 5 questions one at a time, and list trustworthy sources.

10-minute exercise: Industry trend briefing

Step 1Pick a real example: the next time you maintain knowledge (this week).

Step 2Fill in [Industry] and [Focus] with the real details, then run the prompt.

Step 3Check one claim against an official or professional source.

AI's knowledge has a cutoff date. For new regulations and standards, always confirm against the official source.

Importance 4.2/5 · core task · O*NET work activity: Update knowledge about emerging industry or technology trends..

Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.

Weekly

AI is a patient tutor for new rules and techniques.

Show prompt & steps

AI is a patient personal tutor. It explains new rules, techniques and technology at your level, quizzes you and builds a study plan.

Ready-to-use prompt

I work as a mathematician. Part of my job is to conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.

Context: The work draws on mathematics, physics and education and training.
Field: [my area]
What I need: [new methods, recent findings, specific question]

Act as my tutor: explain the main recent developments, key papers to look up, and quiz me with 5 questions one at a time. I'll verify every paper exists.

10-minute exercise: Literature catch-up

Step 1Pick a real example: the next time you conduct research to extend mathematical knowledge in traditional areas (this week).

Step 2Fill in [Field] and [What I need] with the real details, then run the prompt.

Step 3Look up two of the papers it names and read the abstracts.

AI's knowledge has a cutoff date. For new regulations and standards, always confirm against the official source.

Importance 3.8/5 · core task · O*NET work activity: Review professional literature to maintain professional knowledge.. Also involves: Update professional knowledge..

Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.

A few times a year

AI finds trends and writes the spreadsheet formulas.

📊 Real AI use (Anthropic Economic Index, Apr 2026 to May 2026): AI completed the task directly in 93% of those conversations; the rest were back-and-forth with the person. This label was updated from real usage data.

Show prompt & steps

Paste a spreadsheet or table and ask AI to find trends, outliers and totals, or to write the formula you need. It's like having an analyst on call.

Ready-to-use prompt

I work as a mathematician. Part of my job is to design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.

Context: We use Tableau and The MathWorks MATLAB; the work draws on mathematics, physics and education and training.
System: [network, application, data store]
Evidence: [paste logs, scan results, no secrets]

Identify breaches or weaknesses, severity, and remediation steps. Show your working step by step and give spreadsheet formulas so I can reproduce the numbers.

10-minute exercise: Security analysis

Step 1Pick a real example: the next time you design, analyze and decipher encryption systems.

Step 2Fill in [System] and [Evidence] with the real details, then run the prompt.

Step 3Verify each finding in the original data. Recompute every total yourself.

AI makes arithmetic mistakes. Recompute anything that matters with a spreadsheet formula.

Rules and regulations vary by place and change often. Confirm against the official source before relying on anything.

Double-check every number. AI can make arithmetic and rounding mistakes.

Importance 2.8/5 · O*NET work activity: Analyze security of systems, network, or data.. Also involves: Develop computer or information security policies or procedures..

AI can help you prep these 8

AI speeds up the prep, drafting or thinking. The core of the task is still yours.

Mentor others on mathematical techniques.

Weekly

AI helps you prepare clearer wording and likely questions.

Show prompt & steps

Use AI to prepare: simpler wording, analogies, likely questions and a one-page handout. The conversation itself is yours.

Ready-to-use prompt

I work as a mathematician. Part of my job is to mentor others on mathematical techniques.

Context: The work draws on mathematics, physics and education and training.
Topic: [security products, techniques]
Audience: [users, colleagues]

Explain step by step with examples. Use plain language, one everyday analogy, and the questions people are most likely to ask with short answers.

10-minute exercise: Technical guidance

Step 1Pick a real example: the next time you mentor others (this week).

Step 2Fill in [Topic] and [Audience] with the real details, then run the prompt.

Step 3Check every answer is right for your workplace before you share it.

Rules, prices and policies change. Make sure AI is working from your current official version.

Importance 4.2/5 · core task · O*NET work activity: Provide technical guidance to other personnel.. Also involves: Collaborate on research activities with scientists or technical specialists..

Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.

Weekly

AI does the arithmetic and suggests what to look at; the conclusions are yours.

📊 Real AI use (Anthropic Economic Index, Apr 2026 to May 2026): AI completed the task directly in 61% of those conversations; the rest were back-and-forth with the person.

Show prompt & steps

AI can do the arithmetic, build the spreadsheet formula and suggest what to look at. Deciding what the numbers mean for your situation is still you.

Ready-to-use prompt

I work as a mathematician. Part of my job is to address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.

Context: We use Tableau and The MathWorks MATLAB; the work draws on mathematics, physics and education and training.
Data: [paste table]
Question: [what relationships matter]

Analyze correlations and trends with code or formulas. Show your working step by step and give spreadsheet formulas so I can reproduce the numbers.

10-minute exercise: Find trends and relationships

Step 1Pick a real example: the next time you address the relationships of quantities, magnitudes and forms (this week).

Step 2Fill in [Data] and [Question] with the real details, then run the prompt.

Step 3Recompute the most important number yourself before you trust the rest.

AI makes arithmetic mistakes. Recompute anything that matters with a spreadsheet formula.

Importance 3.9/5 · core task · O*NET work activity: Analyze data to identify trends or relationships among variables..

Perform computations and apply methods of numerical analysis to data.

Weekly

AI does the arithmetic and suggests what to look at; the conclusions are yours.

📊 Real AI use (Anthropic Economic Index, Apr 2026 to May 2026): AI completed the task directly in 60% of those conversations; the rest were back-and-forth with the person.

Show prompt & steps

AI can do the arithmetic, build the spreadsheet formula and suggest what to look at. Deciding what the numbers mean for your situation is still you.

Ready-to-use prompt

I work as a mathematician. Part of my job is to perform computations and apply methods of numerical analysis to data.

Context: We use Tableau and The MathWorks MATLAB; the work draws on mathematics, physics and education and training.
Data: [paste table]
Question: [what relationships matter]

Analyze correlations and trends with code or formulas. Show your working step by step and give spreadsheet formulas so I can reproduce the numbers.

10-minute exercise: Find trends and relationships

Step 1Pick a real example: the next time you perform computations (this week).

Step 2Fill in [Data] and [Question] with the real details, then run the prompt.

Step 3Recompute the most important number yourself before you trust the rest.

AI makes arithmetic mistakes. Recompute anything that matters with a spreadsheet formula.

Importance 3.9/5 · core task · O*NET work activity: Analyze data to identify trends or relationships among variables..

Develop new principles and new relationships between existing mathematical principles to advance mathematical science.

Monthly

AI does the arithmetic and suggests what to look at; the conclusions are yours.

Show prompt & steps

AI can do the arithmetic, build the spreadsheet formula and suggest what to look at. Deciding what the numbers mean for your situation is still you.

Ready-to-use prompt

I work as a mathematician. Part of my job is to develop new principles and new relationships between existing mathematical principles to advance mathematical science.

Context: We use The MathWorks MATLAB and SAS; the work draws on mathematics, physics and education and training.
Problem: [describe]
Data or principles: [inputs]

Propose a model and solve it with code. Show your working step by step and give spreadsheet formulas so I can reproduce the numbers.

10-minute exercise: Mathematical model

Step 1Pick a real example: the next time you develop new principles and new relationships.

Step 2Fill in [Problem] and [Data or principles] with the real details, then run the prompt.

Step 3Recompute the most important number yourself before you trust the rest.

AI makes arithmetic mistakes. Recompute anything that matters with a spreadsheet formula.

Importance 4.1/5 · core task · O*NET work activity: Develop scientific or mathematical models..

Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.

Weekly

AI drafts scripts and configs; design and security are yours.

Show prompt & steps

AI can draft configurations, scripts and test cases and explain unfamiliar systems. Architecture and security decisions need your expertise.

Ready-to-use prompt

I work as a mathematician. Part of my job is to develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.

Context: We use C and Microsoft Visual Basic; the work draws on mathematics, physics and education and training.
Model: [financial, GIS, simulation]
Inputs and outputs: [describe]

Design the model and write starter code with tests. Propose the approach first, then the code with comments and tests, and point out security risks.

10-minute exercise: Model or simulation

Step 1Pick a real example: the next time you develop mathematical or statistical models of phenomena (this week).

Step 2Fill in [Model] and [Inputs and outputs] with the real details, then run the prompt.

Step 3Run the tests yourself and read every line before you'd use it.

Don't paste secrets, passwords or proprietary code into tools your employer hasn't approved.

Importance 3.7/5 · core task · O*NET work activity: Design computer modeling or simulation programs..

Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.

Monthly

AI does the arithmetic and suggests what to look at; the conclusions are yours.

📊 Real AI use (Anthropic Economic Index, Apr 2026 to May 2026): AI completed the task directly in 54% of those conversations; the rest were back-and-forth with the person.

Show prompt & steps

AI can do the arithmetic, build the spreadsheet formula and suggest what to look at. Deciding what the numbers mean for your situation is still you.

Ready-to-use prompt

I work as a mathematician. Part of my job is to apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.

Context: We use The MathWorks MATLAB and SAS; the work draws on mathematics, physics and education and training.
Problem: [describe]
Data: [paste or describe]

Suggest the right method, assumptions, and code. Show your working step by step and give spreadsheet formulas so I can reproduce the numbers.

10-minute exercise: Apply a statistical method

Step 1Pick a real example: the next time you apply mathematical theories and techniques.

Step 2Fill in [Problem] and [Data] with the real details, then run the prompt.

Step 3Recompute the most important number yourself before you trust the rest.

AI makes arithmetic mistakes. Recompute anything that matters with a spreadsheet formula.

Importance 3.7/5 · core task · O*NET work activity: Apply mathematical principles or statistical approaches to solve problems in scientific or applied fields..

Disseminate research by writing reports, publishing papers, or presenting at professional conferences.

Monthly

AI helps you prepare clearer wording and likely questions.

Show prompt & steps

Use AI to prepare: simpler wording, analogies, likely questions and a one-page handout. The conversation itself is yours.

Ready-to-use prompt

I work as a mathematician. Part of my job is to disseminate research by writing reports, publishing papers, or presenting at professional conferences.

Context: We use The MathWorks MATLAB and SAS; the work draws on mathematics, physics and education and training.
Analysis: [describe]
Results: [paste tables, maps]

Draft the report narrative. Use plain language, one everyday analogy, and the questions people are most likely to ask with short answers.

10-minute exercise: Analytical report

Step 1Pick a real example: the next time you disseminate research.

Step 2Fill in [Analysis] and [Results] with the real details, then run the prompt.

Step 3Check every answer is right for your workplace before you share it.

Rules, prices and policies change. Make sure AI is working from your current official version.

Importance 4.1/5 · core task · O*NET work activity: Prepare analytical reports.. Also involves: Present research results to others..

Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.

Monthly

AI lays out options and timelines to react to.

📊 Real AI use (Anthropic Economic Index, Apr 2026 to May 2026): AI completed the task directly in 50% of those conversations; the rest were back-and-forth with the person.

Show prompt & steps

AI can lay out options, timelines and checklists to react to. Fitting it to your people, budget and situation is your call.

Ready-to-use prompt

I work as a mathematician. Part of my job is to develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.

Context: We use Microsoft Excel; the work draws on mathematics, physics and education and training.
Problem: [describe]
Data: [type, size, structure]

Recommend methods with assumptions, pros and cons, and starter code. Lay it out as a table with steps, owner, timing and what could go wrong, then list the decisions I still need to make.

10-minute exercise: Choose an analysis method

Step 1Pick a real example: the next time you develop computational methods for solving problems.

Step 2Fill in [Problem] and [Data] with the real details, then run the prompt.

Step 3Cross out anything that won't work on the ground and ask AI to revise with your corrections.

AI doesn't know your people, your site or your history. Treat its plan as a starting point to react to.

Importance 3.2/5 · core task · O*NET work activity: Determine appropriate methods for data analysis..

These stay human 1

They need your hands, your presence or your accountable judgment. Lean into them: they get more valuable as routine work is automated.

📏 Measured in this job (O*NET work context): Face-to-face discussions: once a week or more but not every day

Assemble sets of assumptions, and explore the consequences of each set.

Weekly

Physical, in-person work. AI helps with checklists and write-ups.

Show prep prompt & steps

Where AI still helps: AI helps around the job: decoding manuals and instructions, pre-job checklists, calculations and writing up what you did afterward.

Prep prompt

I work as a mathematician. Part of my job is to assemble sets of assumptions, and explore the consequences of each set.

Context: The work draws on mathematics, physics and education and training.
What's involved: [sets of assumptions: where, when, who's affected]

Make me a step-by-step checklist to assemble sets of assumptions, the details I should double-check before I start, and a 3-line template for noting it's done.

10-minute exercise: Checklist: sets of assumptions

Step 1Before you next assemble sets of assumptions, fill in [What's involved] with the real details.

Step 2Strike any step that doesn't match how your workplace does it, and add what only experience teaches.

Step 3Afterward, note it with the 3-line template and one thing you'd do differently next time.

📊 People already use AI around this task (Anthropic Economic Index, Apr 2026 to May 2026). The task itself stays human-led.

Importance 4.0/5 · core task · O*NET work activity: Analyze data to identify trends or relationships among variables..

Get the full prompt pack for Mathematicians

Every task, prompt and 10-minute exercise on this page in one PDF, formatted to print or keep on your desktop. Free.

Your next moves

Skills to build

From O*NET's ratings of how important each skill is in this job, matched to which part of the work it supports.

With AI Use these to work with AI

When AI does the first draft, these are the skills you use to brief it and check what comes back.

Reading Comprehensionimportance 4.0/5
Used in: Analyzing Data or Information
Critical Thinkingimportance 4.1/5
Used in: Analyzing Data or Information
Active Listeningimportance 3.4/5
Used in: Updating and Using Relevant Knowledge
Active Learningimportance 4.0/5
Used in: Updating and Using Relevant Knowledge

Where you could move

Related jobs from O*NET with the closest skill profile, favouring ones where more of the work stays human. No step down in preparation.

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Skills to build: Management of Personnel Resources, Speaking, Monitoring
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Your skills already line up
Mathematical Science Teachers, Postsecondary23% human-led · Same preparation · $79,940/yr · usually master's degree
Skills to build: Service Orientation, Monitoring
Physicists8% human-led · Same preparation · $172,250/yr · usually doctoral degree
Skills to build: Programming, Science, Learning Strategies

Getting into this job

Doctoral degree is most common (45% of workers)

Bachelor's 10%
Graduate degree 90%

On-the-job training: 1–3 months
Related experience: 1–2 years

What workers in this job report, from O*NET surveys (typical values).

Software in this job

In-demand tools from O*NET. Many now have AI built in, so check what yours can do before adding a new tool.

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