{
  "entityType": "role",
  "schemaVersion": "role.v1",
  "slug": "role-15-2021-00",
  "socCode": "15-2021.00",
  "title": "Mathematicians",
  "summary": "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.",
  "aliases": [
    "Computational Scientist",
    "Cryptographer",
    "Mathematician",
    "Research Scientist",
    "Agent-Based Modeler",
    "Computational Mathematician",
    "Cryptographic Vulnerability Analyst",
    "Research Computing Specialist",
    "Researcher",
    "Algebraist",
    "Applied Mathematician",
    "Cipher Expert"
  ],
  "tasks": [
    {
      "text": "Mentor others on mathematical techniques.",
      "type": "Core",
      "iwa": "4.A.4.a.2.b"
    },
    {
      "text": "Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.",
      "type": "Core",
      "iwa": "4.A.2.b.3.a"
    },
    {
      "text": "Develop new principles and new relationships between existing mathematical principles to advance mathematical science.",
      "type": "Core",
      "iwa": "4.A.2.b.2.u"
    },
    {
      "text": "Disseminate research by writing reports, publishing papers, or presenting at professional conferences.",
      "type": "Core",
      "iwa": "4.A.3.b.6.c"
    },
    {
      "text": "Assemble sets of assumptions, and explore the consequences of each set.",
      "type": "Core",
      "iwa": "4.A.2.a.4.d"
    },
    {
      "text": "Perform computations and apply methods of numerical analysis to data.",
      "type": "Core",
      "iwa": "4.A.2.a.4.d"
    },
    {
      "text": "Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.",
      "type": "Core",
      "iwa": "4.A.2.a.4.d"
    },
    {
      "text": "Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.",
      "type": "Core",
      "iwa": "4.A.2.b.3.a"
    },
    {
      "text": "Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.",
      "type": "Core",
      "iwa": "4.A.2.a.4.d"
    },
    {
      "text": "Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.",
      "type": "Core",
      "iwa": "4.A.2.b.2.b"
    },
    {
      "text": "Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.",
      "type": "Core",
      "iwa": "4.A.2.b.1.d"
    },
    {
      "text": "Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.",
      "type": "Supplemental",
      "iwa": "4.A.2.a.4.l"
    }
  ],
  "emergingTasks": [],
  "activities": [
    {
      "name": "Present research results to others.",
      "iwa": "4.A.3.b.6.c"
    },
    {
      "name": "Prepare analytical reports.",
      "iwa": "4.A.3.b.6.c"
    },
    {
      "name": "Collaborate on research activities with scientists or technical specialists.",
      "iwa": "4.A.4.a.2.b"
    },
    {
      "name": "Provide technical guidance to other personnel.",
      "iwa": "4.A.4.b.6.d"
    },
    {
      "name": "Apply mathematical principles or statistical approaches to solve problems in scientific or applied fields.",
      "iwa": "4.A.2.a.4.d"
    },
    {
      "name": "Determine appropriate methods for data analysis.",
      "iwa": "4.A.2.b.1.d"
    },
    {
      "name": "Update knowledge about emerging industry or technology trends.",
      "iwa": "4.A.2.b.3.a"
    },
    {
      "name": "Analyze data to identify trends or relationships among variables.",
      "iwa": "4.A.2.a.4.d"
    },
    {
      "name": "Design computer modeling or simulation programs.",
      "iwa": "4.A.2.b.2.b"
    },
    {
      "name": "Develop scientific or mathematical models.",
      "iwa": "4.A.2.b.2.u"
    },
    {
      "name": "Analyze security of systems, network, or data.",
      "iwa": "4.A.2.a.4.l"
    },
    {
      "name": "Develop computer or information security policies or procedures.",
      "iwa": "4.A.3.b.2.f"
    },
    {
      "name": "Review professional literature to maintain professional knowledge.",
      "iwa": "4.A.2.b.3.a"
    },
    {
      "name": "Update professional knowledge.",
      "iwa": "4.A.2.b.3.a"
    }
  ],
  "capabilities": [
    {
      "name": "Mathematics",
      "family": "essential_skill",
      "value": 5
    },
    {
      "name": "Mathematical Reasoning",
      "family": "ability",
      "value": 5
    },
    {
      "name": "Mathematics",
      "family": "knowledge",
      "value": 4.85
    },
    {
      "name": "Number Facility",
      "family": "ability",
      "value": 4.62
    },
    {
      "name": "Critical Thinking",
      "family": "essential_skill",
      "value": 4.12
    },
    {
      "name": "Oral Comprehension",
      "family": "ability",
      "value": 4.12
    },
    {
      "name": "Written Comprehension",
      "family": "ability",
      "value": 4.12
    },
    {
      "name": "Oral Expression",
      "family": "ability",
      "value": 4.12
    },
    {
      "name": "Written Expression",
      "family": "ability",
      "value": 4.12
    },
    {
      "name": "Reading Comprehension",
      "family": "essential_skill",
      "value": 4
    },
    {
      "name": "Active Learning",
      "family": "essential_skill",
      "value": 4
    },
    {
      "name": "Complex Problem Solving",
      "family": "transferable_skill",
      "value": 4
    },
    {
      "name": "Deductive Reasoning",
      "family": "ability",
      "value": 4
    },
    {
      "name": "Inductive Reasoning",
      "family": "ability",
      "value": 3.88
    },
    {
      "name": "Information Ordering",
      "family": "ability",
      "value": 3.88
    },
    {
      "name": "Category Flexibility",
      "family": "ability",
      "value": 3.88
    },
    {
      "name": "Judgment and Decision Making",
      "family": "transferable_skill",
      "value": 3.75
    },
    {
      "name": "Fluency of Ideas",
      "family": "ability",
      "value": 3.75
    },
    {
      "name": "Originality",
      "family": "ability",
      "value": 3.75
    },
    {
      "name": "Problem Sensitivity",
      "family": "ability",
      "value": 3.75
    },
    {
      "name": "Education and Training",
      "family": "knowledge",
      "value": 3.7
    },
    {
      "name": "Writing",
      "family": "essential_skill",
      "value": 3.62
    },
    {
      "name": "Science",
      "family": "essential_skill",
      "value": 3.62
    },
    {
      "name": "Near Vision",
      "family": "ability",
      "value": 3.62
    },
    {
      "name": "Computers and Electronics",
      "family": "knowledge",
      "value": 3.5
    },
    {
      "name": "Active Listening",
      "family": "essential_skill",
      "value": 3.38
    },
    {
      "name": "English Language",
      "family": "knowledge",
      "value": 3.3
    },
    {
      "name": "Speaking",
      "family": "essential_skill",
      "value": 3.25
    },
    {
      "name": "Learning Strategies",
      "family": "essential_skill",
      "value": 3.25
    },
    {
      "name": "Flexibility of Closure",
      "family": "ability",
      "value": 3.25
    },
    {
      "name": "Selective Attention",
      "family": "ability",
      "value": 3.12
    },
    {
      "name": "Speech Clarity",
      "family": "ability",
      "value": 3.12
    },
    {
      "name": "Monitoring",
      "family": "essential_skill",
      "value": 3
    },
    {
      "name": "Instructing",
      "family": "transferable_skill",
      "value": 3
    },
    {
      "name": "Systems Analysis",
      "family": "transferable_skill",
      "value": 3
    },
    {
      "name": "Systems Evaluation",
      "family": "transferable_skill",
      "value": 3
    },
    {
      "name": "Physics",
      "family": "knowledge",
      "value": 3
    },
    {
      "name": "Speech Recognition",
      "family": "ability",
      "value": 3
    },
    {
      "name": "Engineering and Technology",
      "family": "knowledge",
      "value": 2.9
    },
    {
      "name": "Social Perceptiveness",
      "family": "transferable_skill",
      "value": 2.88
    }
  ],
  "skills": [
    {
      "name": "Mathematics",
      "type": "Common Skill"
    },
    {
      "name": "Critical Thinking",
      "type": "Common Skill"
    },
    {
      "name": "Reading Comprehension",
      "type": "Common Skill"
    },
    {
      "name": "Deductive Reasoning",
      "type": "Common Skill"
    },
    {
      "name": "Complex Problem Solving",
      "type": "Common Skill"
    },
    {
      "name": "Active Learning",
      "type": "Common Skill"
    },
    {
      "name": "Information Ordering",
      "type": "Specialized Skill"
    },
    {
      "name": "Inductive Reasoning",
      "type": "Common Skill"
    },
    {
      "name": "Writing",
      "type": "Common Skill"
    },
    {
      "name": "Microsoft Excel",
      "type": "Common Skill"
    },
    {
      "name": "Active Listening",
      "type": "Common Skill"
    },
    {
      "name": "English Language",
      "type": "Common Skill"
    },
    {
      "name": "Learning Strategies",
      "type": "Specialized Skill"
    },
    {
      "name": "Unix",
      "type": "Specialized Skill"
    },
    {
      "name": "Systems Analysis",
      "type": "Specialized Skill"
    },
    {
      "name": "Speech Recognition",
      "type": "Specialized Skill"
    },
    {
      "name": "Physics",
      "type": "Specialized Skill"
    },
    {
      "name": "MySQL",
      "type": "Specialized Skill"
    },
    {
      "name": "Microsoft Word",
      "type": "Common Skill"
    },
    {
      "name": "Microsoft Windows",
      "type": "Common Skill"
    },
    {
      "name": "Microsoft Visual Studio",
      "type": "Specialized Skill"
    },
    {
      "name": "Microsoft PowerPoint",
      "type": "Common Skill"
    },
    {
      "name": "Microsoft Outlook",
      "type": "Common Skill"
    },
    {
      "name": "Microsoft Access",
      "type": "Specialized Skill"
    },
    {
      "name": "Linux",
      "type": "Specialized Skill"
    },
    {
      "name": "Instructing",
      "type": "Specialized Skill"
    },
    {
      "name": "Adobe Photoshop",
      "type": "Specialized Skill"
    },
    {
      "name": "Social Perceptiveness",
      "type": "Common Skill"
    },
    {
      "name": "Visualization",
      "type": "Specialized Skill"
    },
    {
      "name": "Time Management",
      "type": "Common Skill"
    },
    {
      "name": "Version Control Software",
      "type": "Specialized Skill"
    },
    {
      "name": "Sage Accounting Software",
      "type": "Specialized Skill"
    },
    {
      "name": "STATISTICA",
      "type": "Specialized Skill"
    },
    {
      "name": "Negotiation",
      "type": "Common Skill"
    },
    {
      "name": "Minitab",
      "type": "Specialized Skill"
    },
    {
      "name": "Algae",
      "type": "Specialized Skill"
    },
    {
      "name": "AMPL",
      "type": "Specialized Skill"
    },
    {
      "name": "Foreign Language",
      "type": "Common Skill"
    },
    {
      "name": "Biology",
      "type": "Specialized Skill"
    },
    {
      "name": "Chemistry",
      "type": "Specialized Skill"
    }
  ],
  "tools": [
    {
      "example": "Atlassian JIRA",
      "category": "Content workflow software",
      "hot": true,
      "inDemand": true
    },
    {
      "example": "C",
      "category": "Development environment software",
      "hot": true,
      "inDemand": true
    },
    {
      "example": "C#",
      "category": "Object or component oriented development software",
      "hot": true,
      "inDemand": true
    },
    {
      "example": "C++",
      "category": "Object or component oriented development software",
      "hot": true,
      "inDemand": true
    },
    {
      "example": "Microsoft Excel",
      "category": "Spreadsheet software",
      "hot": true,
      "inDemand": true
    },
    {
      "example": "Microsoft Office software",
      "category": "Office suite software",
      "hot": true,
      "inDemand": true
    },
    {
      "example": "Python",
      "category": "Object or component oriented development software",
      "hot": true,
      "inDemand": true
    },
    {
      "example": "R",
      "category": "Object or component oriented development software",
      "hot": true,
      "inDemand": true
    },
    {
      "example": "The MathWorks MATLAB",
      "category": "Analytical or scientific software",
      "hot": true,
      "inDemand": true
    },
    {
      "example": "Adobe Photoshop",
      "category": "Graphics or photo imaging software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "Apple macOS",
      "category": "Operating system software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "Bash",
      "category": "Operating system software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "Cascading style sheets CSS",
      "category": "Web platform development software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "Extensible markup language XML",
      "category": "Enterprise application integration software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "Hypertext markup language HTML",
      "category": "Web platform development software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "IBM SPSS Statistics",
      "category": "Analytical or scientific software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "JavaScript",
      "category": "Web platform development software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "Linux",
      "category": "Operating system software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "Microsoft Access",
      "category": "Data base user interface and query software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "Microsoft Outlook",
      "category": "Electronic mail software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "Microsoft PowerPoint",
      "category": "Presentation software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "Microsoft Visual Basic",
      "category": "Development environment software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "Microsoft Visual Studio",
      "category": "Development environment software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "Microsoft Windows",
      "category": "Operating system software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "Microsoft Word",
      "category": "Word processing software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "MySQL",
      "category": "Data base management system software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "Oracle Java",
      "category": "Object or component oriented development software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "Perl",
      "category": "Object or component oriented development software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "PHP",
      "category": "Web platform development software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "Salesforce software",
      "category": "Customer relationship management CRM software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "SAS",
      "category": "Analytical or scientific software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "Structured query language SQL",
      "category": "Data base user interface and query software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "Tableau",
      "category": "Business intelligence and data analysis software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "UNIX",
      "category": "Operating system software",
      "hot": true,
      "inDemand": false
    },
    {
      "example": "Chatbot software",
      "category": "Industrial control software",
      "hot": false,
      "inDemand": true
    },
    {
      "example": "Perforce software",
      "category": "Metadata management software",
      "hot": false,
      "inDemand": true
    },
    {
      "example": "Version control software",
      "category": "File versioning software",
      "hot": false,
      "inDemand": true
    },
    {
      "example": "Algae",
      "category": "Analytical or scientific software",
      "hot": false,
      "inDemand": false
    },
    {
      "example": "AMPL",
      "category": "Analytical or scientific software",
      "hot": false,
      "inDemand": false
    },
    {
      "example": "Analyse-it",
      "category": "Analytical or scientific software",
      "hot": false,
      "inDemand": false
    }
  ],
  "workContext": [
    {
      "name": "E-Mail",
      "value": 4.55
    },
    {
      "name": "Freedom to Make Decisions",
      "value": 4.5
    },
    {
      "name": "Determine Tasks, Priorities and Goals",
      "value": 4.35
    },
    {
      "name": "Importance of Being Exact or Accurate",
      "value": 4.3
    },
    {
      "name": "Face-to-Face Discussions with Individuals and Within Teams",
      "value": 4.26
    },
    {
      "name": "Spend Time Sitting",
      "value": 3.89
    },
    {
      "name": "Level of Competition",
      "value": 3.8
    },
    {
      "name": "Indoors, Environmentally Controlled",
      "value": 3.65
    },
    {
      "name": "Work With or Contribute to a Work Group or Team",
      "value": 3.39
    },
    {
      "name": "Contact With Others",
      "value": 3.35
    },
    {
      "name": "Time Pressure",
      "value": 3.15
    },
    {
      "name": "Public Speaking",
      "value": 2.95
    },
    {
      "name": "Written Letters and Memos",
      "value": 2.95
    },
    {
      "name": "Telephone Conversations",
      "value": 2.89
    },
    {
      "name": "Impact of Decisions on Co-workers or Company Results",
      "value": 2.7
    },
    {
      "name": "Physical Proximity",
      "value": 2.5
    },
    {
      "name": "Work Outcomes and Results of Other Workers",
      "value": 2.47
    },
    {
      "name": "Coordinate or Lead Others in Accomplishing Work Activities",
      "value": 2.35
    },
    {
      "name": "Consequence of Error",
      "value": 2.26
    },
    {
      "name": "Frequency of Decision Making",
      "value": 2.25
    },
    {
      "name": "Spend Time Standing",
      "value": 2.1
    },
    {
      "name": "Importance of Repeating Same Tasks",
      "value": 2.1
    },
    {
      "name": "Dealing With Unpleasant, Angry, or Discourteous People",
      "value": 2.05
    },
    {
      "name": "Deal With External Customers or the Public in General",
      "value": 2
    },
    {
      "name": "Spend Time Making Repetitive Motions",
      "value": 2
    },
    {
      "name": "Conflict Situations",
      "value": 1.9
    },
    {
      "name": "Exposed to Sounds, Noise Levels that are Distracting or Uncomfortable",
      "value": 1.9
    },
    {
      "name": "Health and Safety of Other Workers",
      "value": 1.75
    },
    {
      "name": "Degree of Automation",
      "value": 1.74
    },
    {
      "name": "Spend Time Using Your Hands to Handle, Control, or Feel Objects, Tools, or Controls",
      "value": 1.65
    },
    {
      "name": "Spend Time Walking or Running",
      "value": 1.6
    },
    {
      "name": "Exposed to Disease or Infections",
      "value": 1.32
    },
    {
      "name": "Exposed to Contaminants",
      "value": 1.3
    },
    {
      "name": "Spend Time Bending or Twisting Your Body",
      "value": 1.3
    },
    {
      "name": "Pace Determined by Speed of Equipment",
      "value": 1.3
    },
    {
      "name": "Dealing with Violent or Physically Aggressive People",
      "value": 1.25
    },
    {
      "name": "Indoors, Not Environmentally Controlled",
      "value": 1.2
    },
    {
      "name": "Outdoors, Under Cover",
      "value": 1.2
    },
    {
      "name": "In an Enclosed Vehicle or Operate Enclosed Equipment",
      "value": 1.15
    },
    {
      "name": "Spend Time Keeping or Regaining Balance",
      "value": 1.15
    }
  ],
  "preparation": {
    "jobZone": "5",
    "jobZoneName": "Job Zone Five: Extensive Preparation Needed",
    "education": "Most of these occupations require graduate school. For example, they may require a master's degree, and some require a Ph.D., M.D., or J.D. (law degree).",
    "experience": "Extensive skill, knowledge, and experience are needed for these occupations. Many require more than five years of experience. For example, surgeons must complete four years of college and an additional five to seven years of specialized medical training to be able to do their job.",
    "svpRange": "(8.0 and above)",
    "educationDistribution": [
      {
        "label": "Doctoral Degree",
        "percentage": 45
      },
      {
        "label": "Master's Degree",
        "percentage": 25
      },
      {
        "label": "Bachelor's Degree",
        "percentage": 10
      },
      {
        "label": "Post-Doctoral Training",
        "percentage": 10
      },
      {
        "label": "Post-Master's Certificate",
        "percentage": 5
      },
      {
        "label": "First Professional Degree",
        "percentage": 5
      }
    ]
  },
  "personFit": [
    {
      "name": "Investigative",
      "family": "career_interest_type",
      "value": 7
    },
    {
      "name": "Mathematics/Statistics",
      "family": "specific_interest_area",
      "value": 7
    },
    {
      "name": "Conventional",
      "family": "career_interest_type",
      "value": 5.03
    },
    {
      "name": "Attention to Detail",
      "family": "work_style",
      "value": 5
    },
    {
      "name": "Intellectual Curiosity",
      "family": "work_style",
      "value": 4
    },
    {
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