Research & Academia

Mathematician

SOC 15-2021.00 · ESCO 2120 · OSCA 223132

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Role snapshot

Overview

Mathematicians develop new mathematical theories, concepts, and proofs, and apply quantitative models to solve complex problems across science, engineering, and business. Their work often involves deep analytical thinking, independent research, and collaboration with researchers in various interdisciplinary fields to advance knowledge and create practical solutions.

Advances fundamental knowledge in mathematics, provides essential tools for scientific and technological innovation, and offers critical insights for solving real-world problems in diverse sectors like finance, medicine, and engineering.

On the job

  • Conduct original research to extend mathematical theories and concepts.
  • Develop and refine mathematical models to analyze complex data and predict outcomes.
  • Collaborate with scientists, engineers, and other specialists on interdisciplinary projects.
  • Present research findings at conferences and publish papers in academic journals.
  • Teach mathematics at university level or mentor junior researchers.
Mathematician at work

Tools & technology

MATLABPython (NumPy, SciPy)LaTeXMathematicaRJupyter Notebooks

Average salary

$120K
MEDIAN SALARY Annual · USD
$85K Bottom 10%
$160K Top 10%

Job outlook

Growing

Job growth is expected to be above average over the next five years.

Education & training

A doctoral degree (Ph.D.) in Mathematics or a closely related field is typically required for research and academic positions. Strong foundational knowledge in advanced calculus, linear algebra, and abstract algebra is essential.

Career pathways

WHERE YOU COULD GO

Professor of Mathematics
Head of Research Department

CURRENT ROLE

Mathematician

Research & Academia

ADJACENT MOVES

Quantitative Analyst
Data Scientist
Postdoctoral Researcher
Assistant Professor Mathematics
Research Assistant

STARTING POINTS

Who thrives here

Interest profile

I

investigative · ICA

Individuals who are highly analytical, enjoy complex problem-solving, and have a passion for abstract theories and structured reasoning often thrive in this role. A creative approach to finding elegant solutions is also beneficial.

Personality characteristics

Intellectually Curious

Driven by a deep desire to understand complex systems and explore abstract concepts.

Methodical

Approaches problems with rigorous logic, precision, and systematic analysis.

Independent Thinker

Prefers working autonomously on challenging problems rather than in highly social or leadership roles.

Analytical

Excels at breaking down intricate problems into manageable components and identifying underlying patterns.

Calm Under Pressure

Maintains focus and composure when faced with demanding intellectual challenges or research setbacks.

Best for

  • Individuals passionate about pushing the boundaries of abstract knowledge and developing new mathematical frameworks.
  • Those who enjoy applying rigorous logic and quantitative methods to solve highly complex, often theoretical, problems.
  • People who find satisfaction in the elegance and precision of mathematical proofs and models.

Watch out for

  • The work often involves long periods of intense, independent intellectual effort which may not suit highly social individuals.
  • Requires exceptional patience and resilience when facing complex problems that may take years to solve.

A week in the life

A representative working week for a Mathematician — where the deep work, meetings, and admin actually land.

8am9am10am11am12pm1pm2pm3pm4pm5pm6pm
Mon
Research Team Sync
Theoretical Problem Solving
Literature Review & Note-taking
Tue
Model Development & Simulation
Mentoring Session with Ph.D. Student
Proof Construction & Refinement
Wed
Grant Proposal Writing
Interdisciplinary Collaboration Meeting
Data Analysis & Interpretation
Thu
Seminar Preparation / Lecture Delivery
Paper Writing & Editing
Departmental Meeting
Fri
Independent Research & Exploration
Journal Club / Peer Review
Administrative Tasks / Email
Deep work Meeting External Social Admin

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