Mathematicians
Medium44.50%
Salary Range
Low (10th %)$62,260
Median$116,440
High (90th %)$183,500
AI Prompt Guides for Mathematicians
Unlock expert prompt guides tailored for this Mathematicians. Get strategies to boost your productivity and results with AI.
AI Prompt Tool for Mathematicians
Experiment with and customize AI prompts designed for this occupation. Try, edit, and save prompts for your workflow.
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.
The occupation of mathematicians has an automation risk of 44.5%, slightly lower than the base risk of 45.5%. This moderate risk level reflects both the highly structured and routinized aspects of mathematical work as well as the significant creative and problem-solving components. Many tasks performed by mathematicians involve activities that machines can increasingly automate, but a substantial portion of the role relies on skills that are still challenging for AI and automation technologies to replicate fully. The top three most automatable tasks for mathematicians underscore why automation is a tangible risk. For example, addressing the relationships of quantities, magnitudes, and forms using numbers and symbols is a task well suited to algorithmic automation, as computers can efficiently process and manipulate symbolic mathematics. Similarly, disseminating research by writing reports, publishing papers, or presenting can be partially automated through AI systems capable of generating natural language summaries and presentations. Maintaining knowledge in the field by reading professional journals or attending conferences is also susceptible to automation, as AI tools can scan literature, synthesize findings, and provide professional updates with growing sophistication. However, the most resistant tasks demand a depth of creativity and abstract thinking that current technologies struggle to match. Designing, analyzing, and deciphering encryption systems for sensitive information requires a blend of theoretical understanding, innovation, and real-world context that exceeds the capability of automated systems. Likewise, developing computational methods to solve problems in science, engineering, or industry, and formulating new mathematical principles or relationships, are tasks that hinge on originality and conceptual breakthrough. The importance of bottleneck skills like originality—rated at 3.5% and 4.9% levels—further illustrates that while certain repetitive or information-processing tasks may be automated, the inventive and pioneering aspects of a mathematician's work remain difficult for automation to replace.
Filter by Automatable Status
Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
Automatable
Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
Partially Automatable
Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
Non-Automatable
Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
Partially Automatable
Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
Non-Automatable
Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
Partially Automatable
Perform computations and apply methods of numerical analysis to data.
Automatable
Assemble sets of assumptions, and explore the consequences of each set.
Partially Automatable
Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
Partially Automatable
Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.
Partially Automatable
Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
Non-Automatable
Reading ComprehensionActive ListeningCritical ThinkingOperations MonitoringQuality Control AnalysisSystems AnalysisManagement of Material ResourcesWritingSpeakingMathematicsScienceActive LearningLearning StrategiesMonitoringSocial PerceptivenessCoordinationPersuasionNegotiationInstructingService OrientationComplex Problem SolvingOperations AnalysisTechnology DesignEquipment SelectionInstallationProgrammingOperation and ControlEquipment MaintenanceTroubleshootingRepairingJudgment and Decision MakingSystems EvaluationTime ManagementManagement of Financial ResourcesManagement of Personnel Resources
Arm-Hand SteadinessAuditory AttentionCategory FlexibilityControl PrecisionDeductive ReasoningDepth PerceptionDynamic FlexibilityDynamic StrengthExplosive StrengthExtent FlexibilityFar VisionFinger DexterityFlexibility of ClosureFluency of IdeasGlare SensitivityGross Body CoordinationGross Body EquilibriumHearing SensitivityInductive ReasoningInformation OrderingManual DexterityMathematical ReasoningMemorizationMultilimb CoordinationNear VisionNight VisionNumber FacilityOral ComprehensionOral ExpressionOriginalityPerceptual SpeedPeripheral VisionProblem SensitivityRate ControlReaction TimeResponse OrientationSelective AttentionSound LocalizationSpatial OrientationSpeech ClaritySpeech RecognitionSpeed of ClosureSpeed of Limb MovementStaminaStatic StrengthTime SharingTrunk StrengthVisual Color DiscriminationVisualizationWrist-Finger SpeedWritten ComprehensionWritten Expression
Therapy and CounselingAdministration and ManagementAdministrativeEconomics and AccountingSales and MarketingCustomer and Personal ServicePersonnel and Human ResourcesSociology and AnthropologyGeographyMedicine and DentistryProduction and ProcessingFood ProductionComputers and ElectronicsEngineering and TechnologyDesignBuilding and ConstructionMechanicalMathematicsPhysicsChemistryPsychologyFine ArtsPhilosophy and TheologyPublic Safety and SecurityLaw and GovernmentTelecommunicationsCommunications and MediaTransportationForeign LanguageEnglish LanguageEducation and TrainingHistory and ArcheologyBiology
Monitoring Processes, Materials, or SurroundingsGetting InformationIdentifying Objects, Actions, and EventsInspecting Equipment, Structures, or MaterialsEstimating the Quantifiable Characteristics of Products, Events, or InformationJudging the Qualities of Objects, Services, or PeopleProcessing InformationEvaluating Information to Determine Compliance with StandardsAnalyzing Data or InformationUpdating and Using Relevant KnowledgeDeveloping Objectives and StrategiesScheduling Work and ActivitiesOrganizing, Planning, and Prioritizing WorkPerforming General Physical ActivitiesHandling and Moving ObjectsControlling Machines and ProcessesOperating Vehicles, Mechanized Devices, or EquipmentWorking with ComputersRepairing and Maintaining Electronic EquipmentDocumenting/Recording InformationDrafting, Laying Out, and Specifying Technical Devices, Parts, and EquipmentInterpreting the Meaning of Information for OthersCommunicating with Supervisors, Peers, or SubordinatesCommunicating with People Outside the OrganizationRepairing and Maintaining Mechanical EquipmentEstablishing and Maintaining Interpersonal RelationshipsAssisting and Caring for OthersSelling or Influencing OthersResolving Conflicts and Negotiating with OthersPerforming for or Working Directly with the PublicCoordinating the Work and Activities of OthersDeveloping and Building TeamsTraining and Teaching OthersGuiding, Directing, and Motivating SubordinatesCoaching and Developing OthersProviding Consultation and Advice to OthersPerforming Administrative ActivitiesStaffing Organizational UnitsMonitoring and Controlling ResourcesMaking Decisions and Solving ProblemsThinking Creatively
Analysis and Visualization of Time Sequences AVTSAnalysis and Visualization of Time Sequences AVTSComputer Algebra System for Algebraic Geometry CASADiscrete Dynamics Lab DDLabGraphics Programming Environment GRAPEGraphics Programming Environment GRAPEInteractive Mathematical Proof System IMPSMacKichan Software Scientific WorkPlaceMagma Design Automation softwareMaximal Software MPL Modeling SystemMaximal Software MPL Modeling SystemMultipath Corporation Fast Matrix Solver FMSPolymath Software POLYMATHThe MathWizards MathViewsUser interface design softwareAlgaeAMPLApfloatApple ShazamARfitAztecDataDescription DataDeskDifEquDSP Development DADiSPEleSoft ResearchGeomviewGNU OctaveIBM SPSS AmosJACALKANTApple macOSData visualization softwareJavaScriptCCascading style sheets CSSC#LinuxMicrosoft ExcelBashDiscrete Dynamics Lab DDLabAnalyse-itGraphPad Software GraphPad PrismMacKichan Software Scientific WorkPlaceMaplesoft MapleMathsoft MathcadKSEGLINDO Systems LINDO APIMaxima SoftwareMicroPress VTeXNumeritek NUMERICAPARI/GPSage Accounting SoftwareSystat Software SigmaPlotSuperANOVASymmetricaVormetric Application EncryptionThe MathWizards MathViewsMicrosoft OutlookMicrosoft PowerPointMicrosoft WordPHPSalesforce softwareTableauStructured query language SQLMySQLMicrosoft WindowsMinitabRSASStataCorp StataThe MathWorks MATLABPythonMicrosoft Visual StudioOracle JavaPerlMicrosoft operating systemSTATISTICAProvalis Research SimstatVersion control softwarePolymath Software POLYMATHPerforce softwareModelKinetix ModelMakerC#AlgaeAMPLApfloatApple ShazamARfitAztecDataDescription DataDeskDifEquDSP Development DADiSPEleSoft ResearchGeomviewGNU OctaveAdobe PhotoshopApple macOSCCascading style sheets CSSBashComputer Algebra System for Algebraic Geometry CASAAnalyse-itGraphPad Software GraphPad PrismJACALKANTKSEGLINDO Systems LINDO APIMaxima SoftwareMaplesoft MapleMicrosoft Visual BasicProvalis Research SimstatMicroPress VTeXModelKinetix ModelMakerMicrosoft WindowsNumeritek NUMERICASystat Software SigmaPlotMinitabPARI/GPSage Accounting SoftwareSuperANOVASymmetricaVormetric Application EncryptionRSASUser interface design softwareThe MathWorks MATLABMicrosoft ExcelIBM SPSS StatisticsMicrosoft Office softwareMicrosoft OutlookMicrosoft PowerPointMicrosoft WordPHPWeb browser softwareSalesforce softwareTableauMySQLMicrosoft AccessLinuxMicrosoft Visual StudioOracle JavaPerlMicrosoft operating systemMagma Design Automation softwareSTATISTICAWeb server softwareInteractive Mathematical Proof System IMPSMathsoft MathcadVersion control softwareMultipath Corporation Fast Matrix Solver FMSPerforce softwareIBM SPSS AmosUNISTAT Statistical PackageData visualization softwareJavaScriptAtlassian JIRAHypertext markup language HTMLC++Extensible markup language XMLFormula translation/translator FORTRANFormula translation/translator FORTRANInsightful S-PLUSInsightful S-PLUSWolfram Research MathematicaObject oriented development environment softwareStructured query language SQLAdobe PhotoshopIBM SPSS StatisticsMicrosoft Visual BasicC++UNIXUNIXWeb server softwareUNISTAT Statistical PackageWolfram Research MathematicaAptech Systems GAUSSAptech Systems GAUSSObject oriented development environment softwareMicrosoft AccessStataCorp StataPythonHypertext markup language HTMLAtlassian JIRAExtensible markup language XMLMicrosoft Office softwareWeb browser software
Financial Quantitative Analysts
Medium51.50%
Develop quantitative techniques to inform securities investing, equities investing, pricing, or valuation of financial instruments. Develop mathematical or statistical models for risk management, asset optimization, pricing, or relative value analysis.
Computer and Information Research Scientists
Medium45.73%
Conduct research into fundamental computer and information science as theorists, designers, or inventors. Develop solutions to problems in the field of computer hardware and software.
Software Developers
Medium51.32%
Research, design, and develop computer and network software or specialized utility programs. Analyze user needs and develop software solutions, applying principles and techniques of computer science, engineering, and mathematical analysis. Update software or enhance existing software capabilities. May work with computer hardware engineers to integrate hardware and software systems, and develop specifications and performance requirements. May maintain databases within an application area, working individually or coordinating database development as part of a team.
Operations Research Analysts
Medium49.05%
Formulate and apply mathematical modeling and other optimizing methods to develop and interpret information that assists management with decisionmaking, policy formulation, or other managerial functions. May collect and analyze data and develop decision support software, services, or products. May develop and supply optimal time, cost, or logistics networks for program evaluation, review, or implementation.
Statisticians
Medium53.05%
Develop or apply mathematical or statistical theory and methods to collect, organize, interpret, and summarize numerical data to provide usable information. May specialize in fields such as biostatistics, agricultural statistics, business statistics, or economic statistics. Includes mathematical and survey statisticians.
Biostatisticians
Medium55.00%
Develop and apply biostatistical theory and methods to the study of life sciences.
Data Scientists
Medium59.38%
Develop and implement a set of techniques or analytics applications to transform raw data into meaningful information using data-oriented programming languages and visualization software. Apply data mining, data modeling, natural language processing, and machine learning to extract and analyze information from large structured and unstructured datasets. Visualize, interpret, and report data findings. May create dynamic data reports.
Bioinformatics Technicians
Medium54.40%
Apply principles and methods of bioinformatics to assist scientists in areas such as pharmaceuticals, medical technology, biotechnology, computational biology, proteomics, computer information science, biology and medical informatics. Apply bioinformatics tools to visualize, analyze, manipulate or interpret molecular data. May build and maintain databases for processing and analyzing genomic or other biological information.
Bioengineers and Biomedical Engineers
Medium49.00%
Apply knowledge of engineering, biology, chemistry, computer science, and biomechanical principles to the design, development, and evaluation of biological, agricultural, and health systems and products, such as artificial organs, prostheses, instrumentation, medical information systems, and health management and care delivery systems.
Nanosystems Engineers
Medium47.02%
Design, develop, or supervise the production of materials, devices, or systems of unique molecular or macromolecular composition, applying principles of nanoscale physics and electrical, chemical, or biological engineering.
Biochemists and Biophysicists
Medium49.97%
Study the chemical composition or physical principles of living cells and organisms, their electrical and mechanical energy, and related phenomena. May conduct research to further understanding of the complex chemical combinations and reactions involved in metabolism, reproduction, growth, and heredity. May determine the effects of foods, drugs, serums, hormones, and other substances on tissues and vital processes of living organisms.
Bioinformatics Scientists
Medium51.45%
Conduct research using bioinformatics theory and methods in areas such as pharmaceuticals, medical technology, biotechnology, computational biology, proteomics, computer information science, biology and medical informatics. May design databases and develop algorithms for processing and analyzing genomic information, or other biological information.
Molecular and Cellular Biologists
Medium44.52%
Research and study cellular molecules and organelles to understand cell function and organization.
Geneticists
Medium46.99%
Research and study the inheritance of traits at the molecular, organism or population level. May evaluate or treat patients with genetic disorders.
Astronomers
Medium46.13%
Observe, research, and interpret astronomical phenomena to increase basic knowledge or apply such information to practical problems.
Physicists
Medium51.27%
Conduct research into physical phenomena, develop theories on the basis of observation and experiments, and devise methods to apply physical laws and theories.
Geoscientists, Except Hydrologists and Geographers
Medium49.96%
Study the composition, structure, and other physical aspects of the Earth. May use geological, physics, and mathematics knowledge in exploration for oil, gas, minerals, or underground water; or in waste disposal, land reclamation, or other environmental problems. May study the Earth's internal composition, atmospheres, and oceans, and its magnetic, electrical, and gravitational forces. Includes mineralogists, paleontologists, stratigraphers, geodesists, and seismologists.
Mathematical Science Teachers, Postsecondary
Medium42.76%
Teach courses pertaining to mathematical concepts, statistics, and actuarial science and to the application of original and standardized mathematical techniques in solving specific problems and situations. Includes both teachers primarily engaged in teaching and those who do a combination of teaching and research.
Physics Teachers, Postsecondary
Medium43.04%
Teach courses pertaining to the laws of matter and energy. Includes both teachers primarily engaged in teaching and those who do a combination of teaching and research.
Statistical Assistants
High75.61%
Compile and compute data according to statistical formulas for use in statistical studies. May perform actuarial computations and compile charts and graphs for use by actuaries. Includes actuarial clerks.