What skills does a mathematician need?

A mathematician needs 42 essential skills including digital data processing, mathematical modelling, mathematics, algebra, Monte Carlo simulation. Core competencies include .

Will AI replace mathematician jobs?

The AI disruption score for mathematician is 77/100 (very high risk). Some tasks may be automated but the role will evolve rather than disappear entirely.

Science & ResearchScience and engineering professionalsISCO 2120

mathematician

Mathematicians study and deepen existing mathematical theories in order to expand the knowledge and find new paradigms within the field. They can apply this knowledge to challenges presented in engineering and scientific projects in order to assure that measurements, quantities, and mathematic laws prove their viability.

European Skills Framework

Skills and knowledge areas required for this occupation based on European classification.

Essential (42)

digital data processingdigital data processingIdentify, locate, retrieve, store, organise and analyse digital information, judging its relevance and purpose.mathematical modellingmathematical modellingThe process of establishing a mathematical representation problem, such as equations, of a real-word to provide insights, discover new features about the problematic scenario, better understand the or...mathematicsmathematicsMathematics is the study of topics such as quantity, structure, space, and change. It involves the identification of patterns and formulating new conjectures based on them. Mathematicians strive to pr...algebraalgebraThe subdiscipline of mathematics that uses formulae, symbols, and equations to represent and manipulate numbers and quantities.Monte Carlo simulationMonte Carlo simulationA mathematical technique used to predict, estimate, and analyse a range of future possible outcomes for an uncertain event. The process is performed through a simulation to estimate a range of values.statisticsstatisticsThe study of statistical theory, methods and practices such as collection, organisation, analysis, interpretation and presentation of data. It deals with all aspects of data including the planning of ...scientific modellingscientific modellingScientific activity consisting in selecting the relevant aspects of a situation and aiming to represent physical processes, empirical objects and phenomena to allow a better understanding, visualisati...scientific research methodologyscientific research methodologyThe theoretical methodology used in scientific research involving doing background research, constructing an hypothesis, testing it, analysing data and concluding the results.numerical sequencesnumerical sequencesLogic sequences of numbers ordered by a recurring pattern.draft scientific or academic papers and technical documentationdraft scientific or academic papers and technical documentationDraft and edit scientific, academic or technical texts on different subjects.create solutions to problemscreate solutions to problemsSolve problems which arise in planning, prioritising, organising, directing/facilitating action and evaluating performance. Use systematic processes of collecting, analysing, and synthesising informat...manage research datamanage research dataProduce and analyse scientific data originating from qualitative and quantitative research methods. Store and maintain the data in research databases. Support the re-use of scientific data and be fami...interact professionally in research and professional environmentsinteract professionally in research and professional environmentsShow consideration to others as well as collegiality. Listen, give and receive feedback and respond perceptively to others, also involving staff supervision and leadership in a professional setting.disseminate results to the scientific communitydisseminate results to the scientific communityPublicly disclose scientific results by any appropriate means, including conferences, workshops, colloquia and scientific publications.operate open source softwareoperate open source softwareOperate Open Source software, knowing the main Open Source models, licensing schemes, and the coding practices commonly adopted in the production of Open Source software.speak different languagesspeak different languagesMaster foreign languages to be able to communicate in one or more foreign languages.execute analytical mathematical calculationsexecute analytical mathematical calculationsApply mathematical methods and make use of calculation technologies in order to perform analyses and devise solutions to specific problems.evaluate research activitiesevaluate research activitiesReview proposals, progress, impact and outcomes of peer researchers, including through open peer review.demonstrate disciplinary expertisedemonstrate disciplinary expertiseDemonstrate deep knowledge and complex understanding of a specific research area, including responsible research, research ethics and scientific integrity principles, privacy and GDPR requirements, re...increase the impact of science on policy and societyincrease the impact of science on policy and societyInfluence evidence-informed policy and decision making by providing scientific input to and maintaining professional relationships with policymakers and other stakeholders.manage findable accessible interoperable and reusable datamanage findable accessible interoperable and reusable dataProduce, describe, store, preserve and (re) use scientific data based on FAIR (Findable, Accessible, Interoperable, and Reusable) principles, making data as open as possible, and as closed as necessar...perform scientific researchperform scientific researchGain, correct or improve knowledge about phenomena by using scientific methods and techniques, based on empirical or measurable observations.apply for research fundingapply for research fundingIdentify key relevant funding sources and prepare research grant application in order to obtain funds and grants. Write research proposals.apply scientific methodsapply scientific methodsApply scientific methods and techniques to investigate phenomena, by acquiring new knowledge or correcting and integrating previous knowledge.conduct quantitative researchconduct quantitative researchExecute a systematic empirical investigation of observable phenomena via statistical, mathematical or computational techniques.apply research ethics and scientific integrity principles in research activitiesapply research ethics and scientific integrity principles in research activitiesApply fundamental ethical principles and legislation to scientific research, including issues of research integrity. Perform, review, or report research avoiding misconducts such as fabrication, falsi...promote open innovation in researchpromote open innovation in researchApply techniques, models, methods and strategies which contribute to the promotion of steps towards innovation through collaboration with people and organizations outside the organisation.publish academic researchpublish academic researchConduct academic research, in universities and research institutions, or on a personal account, publish it in books or academic journals with the aim of contributing to a field of expertise and achiev...promote the transfer of knowledgepromote the transfer of knowledgeDeploy broad awareness of processes of knowledge valorisation aimed to maximise the two–way flow of technology, intellectual property, expertise and capability between the research base and industry o...think abstractlythink abstractlyDemonstrate the ability to use concepts in order to make and understand generalisations, and relate or connect them to other items, events, or experiences.communicate mathematical informationcommunicate mathematical informationUse mathematical symbols, language and tools to present information, ideas and processes.mentor individualsmentor individualsMentor individuals by providing emotional support, sharing experiences and giving advice to the individual to help them in their personal development, as well as adapting the support to the specific n...manage personal professional developmentmanage personal professional developmentTake responsibility for lifelong learning and continuous professional development. Engage in learning to support and update professional competence. Identify priority areas for professional developmen...write scientific publicationswrite scientific publicationsPresent the hypothesis, findings, and conclusions of your scientific research in your field of expertise in a professional publication.develop professional network with researchers and scientistsdevelop professional network with researchers and scientistsDevelop alliances, contacts or partnerships, and exchange information with others. Foster integrated and open collaborations where different stakeholders co-create shared value research and innovation...integrate gender dimension in researchintegrate gender dimension in researchTake into account in the whole research process the biological characteristics and the evolving social and cultural features of women and men (gender).perform project managementperform project managementManage and plan various resources, such as human resources, budget, deadline, results, and quality necessary for a specific project, and monitor the project's progress in order to achieve a specific g...manage open publicationsmanage open publicationsBe familiar with Open Publication strategies, with the use of information technology to support research, and with the development and management of CRIS (current research information systems) and ins...study the relationships between quantitiesstudy the relationships between quantitiesUse numbers and symbols to research the link between quantities, magnitudes, and forms.synthesise informationsynthesise informationCritically read, interpret, and summarise new and complex information from diverse sources.conduct research across disciplinesconduct research across disciplinesWork and use research findings and data across disciplinary and/or functional boundaries.communicate with a non-scientific audiencecommunicate with a non-scientific audienceCommunicate about scientific findings to a non-scientific audience, including the general public. Tailor the communication of scientific concepts, debates, findings to the audience, using a variety of...

Optional (35)

SAS languageSAS languageThe techniques and principles of software development, such as analysis, algorithms, coding, testing and compiling of programming paradigms in SAS language.computer simulationcomputer simulationA programme run on a computer that represents dynamic responses of a system to explore a mathematical model behaviour, using a model of a real system, composed of mathematical equations.philosophy of mathematicsphilosophy of mathematicsThe subdiscipline of mathematics that examines the philosophical foundations and implications of mathematics. It studies the methodology of math and how people use it in their daily lives.geometrygeometryBranch of mathematics related to questions of shape, size, relative position of figures and the properties of space.logiclogicThe study and use of accurate reasoning, where the legitimacy of arguments is measured by their logical form and not by content.mathematical economicsmathematical economicsThe interdisciplinary field between mathematical methods and economics that deals with using math principles to contruct models for economic theory where conclusions can be drawn following a mathemati...supercomputingsupercomputingThe process of dealing with complex data-related problems through multiple computers working in parallel (i.e., a supercomputer). It is used in several fields such as quantum mechanics, molecular mode...algorithmsalgorithmsThe self-contained step-by-step sets of operations that carry out calculations, data processing and automated reasoning, usually to solve problems.quantitative analysisquantitative analysisThe technique of employing statistical and mathematical modelling and measurement to represent a specific reality through numbers.statistical modeling techniquesstatistical modeling techniquesThe approaches for employing statistical analysis to dataset within the data science field. It seeks to elaborate reality predictions through statistical models and explicit assumptions.operational researchoperational researchThe application of scientific methods to provide solutions to administrative and management issues of organised systems as industrial, commercial, or governmental processes.computer sciencecomputer scienceThe scientific and practical study that deals with the foundations of information and computation, namely algorithms, data structures, programming, and data architecture. It deals with the practicabil...mathematical physicsmathematical physicsThe interdisciplinary field between mathematics and physics that deals with the mathematical foundations of theoretical physics. It addresses issues in quantum mechanics and atomic and molecular physi...philosophyphilosophyThe different philosophical systems, their basic principles, values, ethics, ways of thinking, customs, practices and their impact on human culture.mechanical engineeringmechanical engineeringDiscipline that applies principles of physics, engineering and materials science to design, analyse, manufacture and maintain mechanical systems.statistical analysis system softwarestatistical analysis system softwareSpecific software system (SAS) used for advanced analytics, business intelligence, data management, and predictive analytics.metalogicmetalogicThe subdiscipline of logic that studies the languages and systems that humans use to communicate truths. It studies the properties of these logical systems.quantum computingquantum computingThe branch of computer science that follows the principles of quantum theory. It uses subatomic particles which are allowed to exist under more than one state thanks to quantum bits, or qubits.data sciencedata scienceThe field of study that deals with big amount of data using AI techniques such as machine learning algorithms to predict patterns and obtain useful information to make business decisions.set theoryset theoryThe subdiscipline of mathematical logic that studies the properties of well-determined sets of objects, relevant to mathematics.empirical analysisempirical analysisThe evidence-based method that is used to analyse and interpret information with the aim of drawing conclusions about a specific issue.use spreadsheets softwareuse spreadsheets softwareUse software tools to create and edit tabular data to carry out mathematical calculations, organise data and information, create diagrams based on data and to retrieve them.prepare lesson contentprepare lesson contentPrepare content to be taught in class in accordance with curriculum objectives by drafting exercises, researching up-to-date examples etc.perform lecturesperform lecturesPresent lectures to various groups.apply statistical analysis techniquesapply statistical analysis techniquesUse models (descriptive or inferential statistics) and techniques (data mining or machine learning) for statistical analysis and ICT tools to analyse data, uncover correlations and forecast trends.create software designcreate software designTranspose a series of requirements into a clear and organised software design.teach in academic or vocational contextsteach in academic or vocational contextsInstruct students in the theory and practice of academic or vocational subjects, transferring the content of own and others' research activities.develop financial statistics reportsdevelop financial statistics reportsCreate financial and statistical reports based on collected data which are to be presented to managing bodies of an organisation.use software tools for site modellinguse software tools for site modellingUse software and other modelling tools to create simulations of and develop scenarios for possible outcomes of site operations. Use the information gathered from simulations and models for analysis an...develop scientific theoriesdevelop scientific theoriesFormulate scientific theories based on empirical observations, gathered data and theories of other scientists.apply blended learningapply blended learningBe familiar with blended learning tools by combining traditional face-to-face and online learning, using digital tools, online technologies, and e-learning methods.develop statistical softwaredevelop statistical softwareParticipate in the various development stages of computer programs for econometric and statistical analysis, such as research, new product development, prototyping, and maintenance.carry out statistical forecastscarry out statistical forecastsUndertake a systematic statistical examination of data representing past observed behaviour of the system to be forecast, including observations of useful predictors outside the system.provide lesson materialsprovide lesson materialsEnsure that the necessary materials for teaching a class, such as visual aids, are prepared, up-to-date, and present in the instruction space.assist scientific researchassist scientific researchAssist engineers or scientists with conducting experiments, performing analysis, developing new products or processes, constructing theory, and quality control.