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Overview
Mathematician work is about developing and applying mathematical theory, models and calculations to understand patterns, solve abstract or practical problems and support scientific or technical decisions.
In job descriptions, look for mathematical modelling, analytical calculations, statistics, simulation, research data, scientific papers, software design, lectures, geometry, logic or work that turns complex problems into clear methods.
Explore this occupation
Open in Job ExplorerWhat the work can involve
Mathematician work can sit in research groups, universities, technical teams, finance-adjacent analysis or software-heavy modelling teams. The common thread is precise reasoning: defining the problem, choosing mathematical assumptions, checking calculations and explaining what a model can and cannot show.
Skills and specializations
Useful strengths include mathematical modelling, analytical calculation, statistical analysis, simulation, geometry, logic and research documentation. Some roles also need programming, open source tools, spreadsheets, data management, lesson preparation or scientific writing, depending on whether the job is research, teaching or applied modelling.
Salary context
Salary comparisons are clearest when the role type is separated first. Research posts, teaching-heavy roles, applied modelling jobs and software-oriented analysis can carry different expectations for publications, grant work, technical delivery, supervision and responsibility for decisions based on mathematical models. Roles tied to mathematical theories and scientific projects often carry more accountability for measurements and assumptions.
Career paths
Development can move toward doctoral research, applied statistics, modelling for engineering or economics, data science, teaching, software design or scientific leadership. A strong portfolio usually shows rigorous methods, readable proofs or reports and the ability to translate abstract calculations into decisions others can use.
Good to know
Read vacancies for the kind of mathematics being used. Check whether the role asks for theorem work, statistical modelling, simulations, lectures, research papers, software implementation or advisory analysis, because those clues say more than the broad title mathematician. Strong adverts usually make the mathematical theories, measurements or scientific projects explicit.
Editorial note
This guide gives editorial career context for mathematician work. It is not official labour-market statistics or salary data.
Map overview
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O*NET relationships
See occupations connected to this ESCO occupation in the official O*NET–ESCO mapping. The relationship type comes from the source and is not a ranking or recommendation.
O*NET relationships: 3
Physicists
19-2012.00
Close relationship
The occupations are closely related, but the official mapping does not treat them as exact equivalents.
Open in O*NETMathematical Science Teachers, Postsecondary
25-1022.00
Close relationship
The occupations are closely related, but the official mapping does not treat them as exact equivalents.
Open in O*NETMathematicians
15-2021.00
Exact relationship
The official mapping treats the O*NET and ESCO occupations as closely equivalent.
Open in O*NETSource and method
These relationships come from the official European Commission O*NET–ESCO crosswalk.
Relationship direction: O*NET occupation to ESCO occupation.
Several O*NET occupations can point to the same ESCO occupation, and one O*NET occupation can point to several ESCO occupations.
AltoTrail preserves the source relationship type. The order is technical and does not show which occupation is best, most relevant or recommended.
AltoTrail validates and presents the source relationships without adding ranking or recommendation semantics.
Alternative labels
Occupation group
Mathematicians, actuaries and statisticians (2120)
Source facts
| ESCO URI | http://data.europa.eu/esco/occupation/72628f3a-fd49-499a-9741-870b0a1fcef2 |
|---|---|
| ESCO code | 2120.5 |
| ISCO group | 2120 |
| Concept type | Occupation |