From e75e9c0ee8b66c8ba862ce90fdf42e489d1daaa3 Mon Sep 17 00:00:00 2001 From: skillfactor-pipeline Date: Fri, 14 Aug 2026 16:46:05 +0200 Subject: [PATCH] feat: mathematician skill package v0.1.0 --- PROVENANCE.md | 31 +++++ SKILL.md | 77 +++++++++++ manifest.json | 196 ++++++++++++++++++++++++++ references/ai-skills.md | 266 ++++++++++++++++++++++++++++++++++++ references/berufsbild-de.md | 128 +++++++++++++++++ references/market.md | 152 +++++++++++++++++++++ references/profile.md | 29 ++++ references/skills.md | 107 +++++++++++++++ references/tasks.md | 35 +++++ references/tools.md | 111 +++++++++++++++ 10 files changed, 1132 insertions(+) create mode 100644 PROVENANCE.md create mode 100644 SKILL.md create mode 100644 manifest.json create mode 100644 references/ai-skills.md create mode 100644 references/berufsbild-de.md create mode 100644 references/market.md create mode 100644 references/profile.md create mode 100644 references/skills.md create mode 100644 references/tasks.md create mode 100644 references/tools.md diff --git a/PROVENANCE.md b/PROVENANCE.md new file mode 100644 index 0000000..4c7b6ae --- /dev/null +++ b/PROVENANCE.md @@ -0,0 +1,31 @@ +# Data provenance — mathematician + +Where the content of this skill package comes from, counted by +content items (tasks, competences, tools, evidence entries, curated +knowledge). Rendered live by Gitea: + +```mermaid +%%{init: {'theme':'base','themeVariables':{'pie1':'#f9a825','pie2':'#1e88e5','pie3':'#ff355e','pie4':'#d97757','pie5':'#8e24aa','pieOuterStrokeWidth':'0px','pieSectionTextColor':'#fff'}}}%% +pie showData + title Content sources — mathematician + "ESCO (occupation & competences)" : 81 + "O*NET (tasks & tools)" : 120 + "Job boards (market evidence)" : 101 + "Anthropic official Claude skills" : 6 + "External AI skill packs (mapped)" : 137 +``` + +| Source | Items | Share | Files | +|---|---|---|---| +| ESCO (occupation & competences) | 81 | 18.2 % | references/profile.md, references/skills.md | +| O*NET (tasks & tools) | 120 | 27.0 % | references/tasks.md, references/tools.md | +| Job boards (market evidence) | 101 | 22.7 % | references/market.md (full report) + "Market evidence" headline sections | +| Wikipedia & AI expert curation | 0 | 0.0 % | glossary, literature, usecases, intake, quality, evals/ | +| Anthropic official Claude skills | 6 | 1.3 % | references/ai-skills.md, section "anthropics/skills" (official Claude Code skills) | +| External AI skill packs (mapped) | 137 | 30.8 % | references/ai-skills.md (per-source attribution inside) | +| Stack Exchange practitioner Q&A (CC-BY-SA) | 0 | 0.0 % | references/practitioner-qa.md (per-entry attribution inside) | + +Licensing: O*NET (USDOL/ETA, CC BY 4.0) · ESCO (© European Union) · +job-ad evidence via official APIs (JSearch/Adzuna) · Wikipedia content +paraphrased with source URLs — never copied · external AI skills are +linked, not copied (Apache-2.0/MIT/source-available, see ai-skills.md). diff --git a/SKILL.md b/SKILL.md new file mode 100644 index 0000000..0a4381d --- /dev/null +++ b/SKILL.md @@ -0,0 +1,77 @@ +--- +name: mathematician +description: "Occupational skill for the role 'mathematician' (also: logic research scientist, mathematicians, mathematics science researcher, logic researcher, logic science researcher, mathematics scholar). Use when the user asks for typical mathematician work such as: Disseminate research by writing reports, publishing papers, or presenting at professional conferences.; Mentor others on mathematical techniques.; Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields." +--- + +# 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. + +## Core workflow + +1. Disseminate research by writing reports, publishing papers, or presenting at professional conferences. +2. Mentor others on mathematical techniques. +3. Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields. +4. Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry. +5. Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences. +6. Perform computations and apply methods of numerical analysis to data. +7. Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation. +8. Assemble sets of assumptions, and explore the consequences of each set. + +## How to use this skill + +- Read [references/profile.md](references/profile.md) for the occupation profile and scope. +- Consult [references/tasks.md](references/tasks.md) for the full task and activity inventory. +- Check [references/skills.md](references/skills.md) for essential vs. optional competences. +- Check [references/tools.md](references/tools.md) for the software commonly used in this role. +- See [references/ai-skills.md](references/ai-skills.md) — matched external AI agent skills (per-source attribution). + +## Key competences (essential) + +- algebra +- apply for research funding +- apply research ethics and scientific integrity principles in research activities +- apply scientific methods +- communicate mathematical information +- communicate with a non-scientific audience +- conduct quantitative research +- conduct research across disciplines +- create solutions to problems +- demonstrate disciplinary expertise +- develop professional network with researchers and scientists +- digital data processing +- disseminate results to the scientific community +- draft scientific or academic papers and technical documentation +- evaluate research activities + +## Hot technologies + +- IBM SPSS Statistics +- SAS +- The MathWorks MATLAB +- Tableau +- Atlassian JIRA +- Salesforce software +- MySQL +- Microsoft Access +- Structured query language SQL +- C + + + + +## Hot technologies + +Top tools from 37 gated job ads (see references/market.md, as of 2026-07-17): + +- Python — 19 % +- MATLAB — 14 % +- C++ — 11 % +- Lean 4 — 11 % +- standard software applications — 11 % +- mathlib — 8 % + + + +--- +*Sources: ESCO v1.2.1 (http://data.europa.eu/esco/occupation/72628f3a-fd49-499a-9741-870b0a1fcef2), O*NET 30.3 (15-2021.00). See manifest.json for licensing/attribution.* diff --git a/manifest.json b/manifest.json new file mode 100644 index 0000000..5f2a25c --- /dev/null +++ b/manifest.json @@ -0,0 +1,196 @@ +{ + "name": "mathematician", + "title": "mathematician", + "version": "0.1.0", + "layer": "core", + "language": "en", + "generated": "2026-07-07", + "ids": { + "esco_uri": "http://data.europa.eu/esco/occupation/72628f3a-fd49-499a-9741-870b0a1fcef2", + "esco_code": "2120.5", + "isco_group": "2120", + "onet_soc": "15-2021.00", + "crosswalk_match": "exactMatch" + }, + "sources": [ + { + "name": "ESCO", + "version": "1.2.1", + "url": "https://esco.ec.europa.eu/" + }, + { + "name": "O*NET", + "version": "30.3", + "url": "https://www.onetcenter.org/", + "license": "CC BY 4.0" + } + ], + "attribution": "This package includes information from the O*NET Database (v30.3) by the U.S. Department of Labor, Employment and Training Administration (USDOL/ETA), CC BY 4.0. skillfactor is not endorsed by USDOL/ETA. ESCO data (v1.2.1) (c) European Union, used per the ESCO download conditions: https://esco.ec.europa.eu/en/use-esco/download", + "counts": { + "tasks": 12, + "dwas": 14, + "skills_essential": 44, + "skills_optional": 36, + "software": 93 + }, + "enrichment_ai_skills": { + "generated": "2026-07-14", + "method": "deterministic mapping (ISCO prefix + title/competence keywords)", + "sources": { + "anthropics/skills": { + "repo": "https://github.com/anthropics/skills", + "commit": "f6656c1", + "license": "Apache-2.0; the document skills (docx/pdf/pptx/xlsx) are source-available \u2014 see the LICENSE.txt in the upstream skill folder", + "skills": 3 + }, + "K-Dense-AI/claude-scientific-skills": { + "repo": "https://github.com/K-Dense-AI/claude-scientific-skills", + "commit": "4d97e29", + "license": "MIT", + "skills": 12 + }, + "K-Dense-AI/scientific-agent-skills": { + "repo": "https://github.com/K-Dense-AI/scientific-agent-skills", + "commit": "4d97e29", + "license": "MIT", + "skills": 12 + }, + "davila7/claude-code-templates": { + "repo": "https://github.com/davila7/claude-code-templates", + "commit": "fa79251", + "license": "MIT", + "skills": 12 + }, + "brycewang-stanford/Auto-Empirical-Research-Skills": { + "repo": "https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills", + "commit": "85bf545", + "license": "CC-BY-4.0", + "skills": 12 + }, + "foryourhealth111-pixel/Vibe-Skills": { + "repo": "https://github.com/foryourhealth111-pixel/Vibe-Skills", + "commit": "34429a8", + "license": "Apache-2.0", + "skills": 12 + }, + "fcakyon/claude-codex-settings": { + "repo": "https://github.com/fcakyon/claude-codex-settings", + "commit": "44b7c00", + "license": "Apache-2.0", + "skills": 1 + }, + "sanjay3290/ai-skills": { + "repo": "https://github.com/sanjay3290/ai-skills", + "commit": "3619692", + "license": "Apache-2.0", + "skills": 1 + }, + "open-gitagent/opengap": { + "repo": "https://github.com/open-gitagent/opengap", + "commit": "d7a8e2e", + "license": "MIT", + "skills": 1 + }, + "zebbern/claude-code-guide": { + "repo": "https://github.com/zebbern/claude-code-guide", + "commit": "d2c5280", + "license": "MIT", + "skills": 1 + }, + "OpenRaiser/NanoResearch": { + "repo": "https://github.com/OpenRaiser/NanoResearch", + "commit": "7144364", + "license": "MIT", + "skills": 1 + }, + "Orchestra-Research/AI-research-SKILLs": { + "repo": "https://github.com/Orchestra-Research/AI-research-SKILLs", + "commit": "773a529", + "license": "MIT", + "skills": 1 + }, + "zechenzhangAGI/AI-research-SKILLs": { + "repo": "https://github.com/zechenzhangAGI/AI-research-SKILLs", + "commit": "773a529", + "license": "MIT", + "skills": 1 + }, + "makenotion/claude-code-notion-plugin": { + "repo": "https://github.com/makenotion/claude-code-notion-plugin", + "commit": "9847f2a", + "license": "no explicit license \u2014 referenced by link only", + "skills": 1 + }, + "wanshuiyin/Auto-claude-code-research-in-sleep": { + "repo": "https://github.com/wanshuiyin/Auto-claude-code-research-in-sleep", + "commit": "eb5c9d7", + "license": "MIT", + "skills": 2 + }, + "ferdinandobons/startup-skill": { + "repo": "https://github.com/ferdinandobons/startup-skill", + "commit": "a5f97c3", + "license": "MIT", + "skills": 1 + }, + "a5c-ai/babysitter": { + "repo": "https://github.com/a5c-ai/babysitter", + "commit": "44a5d58b", + "license": "MIT", + "skills": 2 + }, + "claude-world/director-mode-lite": { + "repo": "https://github.com/claude-world/director-mode-lite", + "commit": "9d0c333", + "license": "MIT", + "skills": 1 + }, + "nexu-io/open-design": { + "repo": "https://github.com/nexu-io/open-design", + "commit": "4b66023", + "license": "Apache-2.0", + "skills": 1 + }, + "alirezarezvani/claude-skills": { + "repo": "https://github.com/alirezarezvani/claude-skills", + "commit": "0241f43", + "license": "MIT", + "skills": 1 + }, + "mohitagw15856/pm-claude-skills": { + "repo": "https://github.com/mohitagw15856/pm-claude-skills", + "commit": "876fa30", + "license": "MIT", + "skills": 1 + } + }, + "total_skills": 80, + "tiers": { + "core": 77, + "adjacent": 3 + } + }, + "provenance": { + "items": { + "esco": 81, + "onet": 120, + "jobads": 101, + "wiki_ai": 0, + "anthropic": 6, + "ai_skills": 137, + "stackx": 0 + }, + "share_percent": { + "esco": 18.2, + "onet": 27.0, + "jobads": 22.7, + "wiki_ai": 0.0, + "anthropic": 1.3, + "ai_skills": 30.8, + "stackx": 0.0 + }, + "method": "content items per source category" + }, + "collar": "white", + "computer_work": true +} \ No newline at end of file diff --git a/references/ai-skills.md b/references/ai-skills.md new file mode 100644 index 0000000..314bcbb --- /dev/null +++ b/references/ai-skills.md @@ -0,0 +1,266 @@ +# External AI agent skills — mathematician + +Proven, publicly available AI agent skills mapped to this occupation. +Nothing is copied from the sources: every entry is a name, a one-line +summary and a link to the upstream skill package. Each section names +its source repository, commit, license and retrieval date. + +**Tiers:** `core` = the skill directly exercises a top market hard +skill, tool or method (from gated job-ad evidence) or an essential +ESCO competence of this occupation; `adjacent` = +plausibly useful, secondary. Entries are capped at 12 per source +and 80 in total per occupation (core first, +strongest matches survive); everything beyond the caps is excluded +and logged in the pipeline audit trail, not in this package. + +_Matched deterministically (ISCO group + title/competence keywords, +tiered against market evidence + ESCO essentials) by +`pipeline/p5_enrich_ai_skills.py` on 2026-07-14._ + +## Source: anthropics/skills + +- Repository: [https://github.com/anthropics/skills](https://github.com/anthropics/skills) (commit `f6656c1`, retrieved 2026-07-14) +- License: Apache-2.0; the document skills (docx/pdf/pptx/xlsx) are source-available — see the LICENSE.txt in the upstream skill folder + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `xlsx` | adjacent | Use this skill any time a spreadsheet file is the primary input or output. This means any task where the user wants to: open, read, edit, or fix an existing .xlsx, .xlsm, .xltx, .csv, or .tsv file (e.g., adding columns, computing formulas, … | [source](https://github.com/anthropics/skills/tree/main/skills/xlsx) | +| `docx` | adjacent | Use this skill whenever the user wants to create, read, edit, or manipulate Word documents (.docx files) or Word templates (.dotx files). Triggers include: any mention of 'Word doc', 'word document', '.docx', '.dotx', or requests to … | [source](https://github.com/anthropics/skills/tree/main/skills/docx) | +| `pdf` | adjacent | Use this skill whenever the user wants to do anything with PDF files. This includes reading or extracting text/tables from PDFs, combining or merging multiple PDFs into one, splitting PDFs apart, rotating pages, adding watermarks, creating … | [source](https://github.com/anthropics/skills/tree/main/skills/pdf) | + +## Source: a5c-ai/babysitter + +- Repository: [https://github.com/a5c-ai/babysitter](https://github.com/a5c-ai/babysitter) (commit `44a5d58b`, retrieved 2026-07-14) +- License: MIT + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `autonomous-research-engineering` | core | Autonomous research engineering — web search orchestration, source synthesis, hypothesis formation, and structured research report generation. | [source](https://github.com/a5c-ai/babysitter/tree/44a5d58b/library/specializations/ai-agents-conversational/skills/autonomous-research-engineering) | +| `research-first-dev` | core | Research-first development methodology that investigates existing solutions, brainstorms alternatives, and evaluates trade-offs before any implementation begins. | [source](https://github.com/a5c-ai/babysitter/tree/44a5d58b/library/methodologies/everything-claude-code/skills/research-first-dev) | + +## Source: alirezarezvani/claude-skills + +- Repository: [https://github.com/alirezarezvani/claude-skills](https://github.com/alirezarezvani/claude-skills) (commit `0241f43`, retrieved 2026-07-14) +- License: MIT + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `product-skills` | core | Use when coordinating product work across the 12 bundled product sub-skills (RICE, OKRs, UX research, design tokens, competitive teardown, analytics, experiments, discovery, roadmaps, spec-to-repo, landing pages, SaaS scaffolding) or the 4 … | [source](https://github.com/alirezarezvani/claude-skills/tree/0241f43/product-team/skills/product-skills) | + +## Source: brycewang-stanford/Auto-Empirical-Research-Skills + +- Repository: [https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills](https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills) (commit `85bf545`, retrieved 2026-07-14) +- License: CC-BY-4.0 + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `methodology-skills` | core | 13 research methodology skills. Trigger: study design, methodology selection, scientific reasoning, mentoring. Design: rigorous methods frameworks covering qualitative, quantitative, and mixed approaches. | [source](https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/85bf545/skills/43-wentorai-research-plugins/skills/research/methodology) | +| `claude-scientific-guide` | core | Ready-to-use agent skills for scientific research and engineering | [source](https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/85bf545/skills/43-wentorai-research-plugins/skills/research/methodology/claude-scientific-guide) | +| `proof-architect` | core | Structured methodology for constructing and verifying mathematical proofs in statistical research | [source](https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/85bf545/skills/26-Data-Wise-scholar/skills/mathematical/proof-architect) | +| `publication-output` | core | This skill covers publication-quality tables and figures for academic research papers. Use when formatting regression results, summary statistics, Monte Carlo output, or research visualizations for LaTeX inclusion. Triggers on "table", … | [source](https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/85bf545/skills/11-James-Traina-compound-science/skills/publication-output) | +| `academic-baseline` | core | Use when working on any empirical academic research context — paper writing, data analysis, literature review, or any task involving citations, results, or publication artifacts. Establishes non-negotiable principles that govern all other … | [source](https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/85bf545/skills/60-regisely-superpapers/skills/academic-baseline) | +| `econ-audit` | core | Audit economic analysis outputs (fiscal briefings, macro briefings, market research, longlists, and other quantitative economic documents) against methodology standards, academic literature, and common errors. Runs structured checks across … | [source](https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/85bf545/skills/58-charlescoverdale-econstack/econ-audit) | +| `hud` | core | Diverga HUD (Heads-Up Display) management skill. Configure and manage the research project statusline display. Supports multiple presets: research, checkpoint, memory, minimal. Triggers: "hud", "statusline", "display settings | [source](https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/85bf545/skills/25-HosungYou-Diverga/skills/hud) | +| `ai-ml-skills` | core | 27 ai & machine learning skills. Trigger: ML experiments, model training, deep learning, NLP, computer vision. Design: covers frameworks, benchmarks, paper reproduction, and AI research workflows. | [source](https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/85bf545/skills/43-wentorai-research-plugins/skills/domains/ai-ml) | +| `law-skills` | core | 9 legal research skills. Trigger: legal research, case law analysis, regulatory compliance. Design: legal databases, citation networks, and judicial analytics tools. | [source](https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/85bf545/skills/43-wentorai-research-plugins/skills/domains/law) | +| `psychology-research-guide` | core | Psychological research methods, experimental design, and analysis | [source](https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/85bf545/skills/43-wentorai-research-plugins/skills/domains/social-science/psychology-research-guide) | +| `research-ideation` | core | This skill should be used when the user asks to "brainstorm research ideas", "use 5W1H framework", "identify research gaps", "conduct gap analysis", "start research project", "conduct literature review", "define research question", "select … | [source](https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/85bf545/skills/33-Galaxy-Dawn-claude-scholar/skills/research-ideation) | +| `literature-review` | core | Conduct comprehensive, systematic literature reviews using multiple academic databases (PubMed, arXiv, bioRxiv, Semantic Scholar, etc.). This skill should be used when conducting systematic literature reviews, meta-analyses, research … | [source](https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/85bf545/skills/03-K-Dense-AI-claude-scientific-skills/literature-review) | + +## Source: claude-world/director-mode-lite + +- Repository: [https://github.com/claude-world/director-mode-lite](https://github.com/claude-world/director-mode-lite) (commit `9d0c333`, retrieved 2026-07-14) +- License: MIT + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `handoff-gemini` | core | Delegate long-context analysis, research, and large-document summarization to Google Gemini CLI (1M-token context) via non-interactive `gemini -p`, preserving Claude context. Use when the user says 'use gemini'/'hand off to gemini' or a … | [source](https://github.com/claude-world/director-mode-lite/tree/9d0c333/skills/handoff-gemini) | + +## Source: davila7/claude-code-templates + +- Repository: [https://github.com/davila7/claude-code-templates](https://github.com/davila7/claude-code-templates) (commit `fa79251`, retrieved 2026-07-14) +- License: MIT + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `latex-posters` | core | Create professional research posters in LaTeX using beamerposter, tikzposter, or baposter. Support for conference presentations, academic posters, and scientific communication. Includes layout design, color schemes, multi-column formats, … | [source](https://github.com/davila7/claude-code-templates/tree/fa79251/cli-tool/components/skills/scientific/latex-posters) | +| `scientific-critical-thinking` | core | Evaluate research rigor. Assess methodology, experimental design, statistical validity, biases, confounding, evidence quality (GRADE, Cochrane ROB), for critical analysis of scientific claims. | [source](https://github.com/davila7/claude-code-templates/tree/fa79251/cli-tool/components/skills/scientific/scientific-critical-thinking) | +| `scientific-brainstorming` | core | Research ideation partner. Generate hypotheses, explore interdisciplinary connections, challenge assumptions, develop methodologies, identify research gaps, for creative scientific problem-solving. | [source](https://github.com/davila7/claude-code-templates/tree/fa79251/cli-tool/components/skills/scientific/scientific-brainstorming) | +| `denario` | core | Multiagent AI system for scientific research assistance that automates research workflows from data analysis to publication. This skill should be used when generating research ideas from datasets, developing research methodologies, … | [source](https://github.com/davila7/claude-code-templates/tree/fa79251/cli-tool/components/skills/scientific/denario) | +| `research-engineer` | core | An uncompromising Academic Research Engineer. Operates with absolute scientific rigor, objective criticism, and zero flair. Focuses on theoretical correctness, formal verification, and optimal implementation across any required technology. | [source](https://github.com/davila7/claude-code-templates/tree/fa79251/cli-tool/components/skills/ai-research/research-engineer) | +| `market-research-reports` | core | Generate comprehensive market research reports (50+ pages) in the style of top consulting firms (McKinsey, BCG, Gartner). Features professional LaTeX formatting, extensive visual generation with scientific-schematics and generate-image, … | [source](https://github.com/davila7/claude-code-templates/tree/fa79251/cli-tool/components/skills/scientific/market-research-reports) | +| `venue-templates` | core | Access comprehensive LaTeX templates, formatting requirements, and submission guidelines for major scientific publication venues (Nature, Science, PLOS, IEEE, ACM), academic conferences (NeurIPS, ICML, CVPR, CHI), research posters, and … | [source](https://github.com/davila7/claude-code-templates/tree/fa79251/cli-tool/components/skills/scientific/venue-templates) | +| `scientific-writing` | core | Core skill for the deep research and writing tool. Write scientific manuscripts in full paragraphs (never bullet points). Use two-stage process: (1) create section outlines with key points using research-lookup, (2) convert to flowing … | [source](https://github.com/davila7/claude-code-templates/tree/fa79251/cli-tool/components/skills/scientific/scientific-writing) | +| `scientific-slides` | core | Build slide decks and presentations for research talks. Use this for making PowerPoint slides, conference presentations, seminar talks, research presentations, thesis defense slides, or any scientific talk. Provides slide structure, design … | [source](https://github.com/davila7/claude-code-templates/tree/fa79251/cli-tool/components/skills/scientific/scientific-slides) | +| `research-lookup` | core | Look up current research information using Perplexity's Sonar Pro Search or Sonar Reasoning Pro models through OpenRouter. Automatically selects the best model based on query complexity. Search academic papers, recent studies, technical … | [source](https://github.com/davila7/claude-code-templates/tree/fa79251/cli-tool/components/skills/scientific/research-lookup) | +| `statistical-analysis` | core | Statistical analysis toolkit. Hypothesis tests (t-test, ANOVA, chi-square), regression, correlation, Bayesian stats, power analysis, assumption checks, APA reporting, for academic research. | [source](https://github.com/davila7/claude-code-templates/tree/fa79251/cli-tool/components/skills/scientific/statistical-analysis) | +| `openalex-database` | core | Query and analyze scholarly literature using the OpenAlex database. This skill should be used when searching for academic papers, analyzing research trends, finding works by authors or institutions, tracking citations, discovering open … | [source](https://github.com/davila7/claude-code-templates/tree/fa79251/cli-tool/components/skills/scientific/openalex-database) | + +## Source: fcakyon/claude-codex-settings + +- Repository: [https://github.com/fcakyon/claude-codex-settings](https://github.com/fcakyon/claude-codex-settings) (commit `44b7c00`, retrieved 2026-07-14) +- License: Apache-2.0 + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `paper-search-usage` | core | This skill should be used when user asks to "search for papers", "find research papers", "search arXiv", "search PubMed", "find academic papers", "search IEEE", "search Scopus", or "look up scientific literature". | [source](https://github.com/fcakyon/claude-codex-settings/tree/44b7c00/plugins/paper-search-tools/skills/paper-search-usage) | + +## Source: ferdinandobons/startup-skill + +- Repository: [https://github.com/ferdinandobons/startup-skill](https://github.com/ferdinandobons/startup-skill) (commit `a5f97c3`, retrieved 2026-07-14) +- License: MIT + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `startup-design` | core | Design, validate, and plan a startup from scratch. Covers market research, competitive analysis, business model, brand identity, product definition, financial projections, and validation experiments. Trigger when the user has a startup … | [source](https://github.com/ferdinandobons/startup-skill/tree/a5f97c3/startup-design) | + +## Source: foryourhealth111-pixel/Vibe-Skills + +- Repository: [https://github.com/foryourhealth111-pixel/Vibe-Skills](https://github.com/foryourhealth111-pixel/Vibe-Skills) (commit `34429a8`, retrieved 2026-07-14) +- License: Apache-2.0 + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `scientific-reporting` | core | Write research/technical reports with strong structure + figure standards. Supports Markdown/HTML/PDF outputs (Quarto optional), executive summary, methods, results, discussion, and reproducibility appendix. | [source](https://github.com/foryourhealth111-pixel/Vibe-Skills/tree/34429a8/bundled/skills/scientific-reporting) | +| `denario` | core | Multiagent AI system for scientific research assistance that automates research workflows from data analysis to publication. This skill should be used when generating research ideas from datasets, developing research methodologies, … | [source](https://github.com/foryourhealth111-pixel/Vibe-Skills/tree/34429a8/bundled/skills/denario) | +| `scientific-brainstorming` | core | Open-ended scientific ideation partner. Use for research gaps, mechanism exploration, interdisciplinary connections, assumptions, possible research directions, and lightweight literature matrix or A+B paper-combination idea mapping. For … | [source](https://github.com/foryourhealth111-pixel/Vibe-Skills/tree/34429a8/bundled/skills/scientific-brainstorming) | +| `slides-as-code` | core | Build research slides with text-first source (Slidev/Marp/Reveal/Quarto) and reproducible export (PDF). Includes structure, figure reuse rules, and quality checklist for top-tier scientific presentations. | [source](https://github.com/foryourhealth111-pixel/Vibe-Skills/tree/34429a8/bundled/skills/slides-as-code) | +| `scholar-evaluation` | core | Systematically evaluate scholarly work using the ScholarEval framework, providing structured assessment across research quality dimensions including problem formulation, methodology, analysis, and writing with quantitative scoring and … | [source](https://github.com/foryourhealth111-pixel/Vibe-Skills/tree/34429a8/bundled/skills/scholar-evaluation) | +| `scientific-slides` | core | Build slide decks and presentations for research talks. Use this for making PowerPoint slides, conference presentations, seminar talks, research presentations, thesis defense slides, or any scientific talk. Provides slide structure, design … | [source](https://github.com/foryourhealth111-pixel/Vibe-Skills/tree/34429a8/bundled/skills/scientific-slides) | +| `statistical-analysis` | core | Statistical analysis toolkit. Hypothesis tests (t-test, ANOVA, chi-square), regression, correlation, Bayesian stats, power analysis, assumption checks, APA reporting, for academic research. | [source](https://github.com/foryourhealth111-pixel/Vibe-Skills/tree/34429a8/bundled/skills/statistical-analysis) | +| `geomaster` | core | Comprehensive geospatial science skill covering remote sensing, GIS, spatial analysis, machine learning for earth observation, and 30+ scientific domains. Supports satellite imagery processing (Sentinel, Landsat, MODIS, SAR, … | [source](https://github.com/foryourhealth111-pixel/Vibe-Skills/tree/34429a8/bundled/skills/geomaster) | +| `openalex-database` | core | Query and analyze scholarly literature using the OpenAlex database. This skill should be used when searching for academic papers, analyzing research trends, finding works by authors or institutions, tracking citations, discovering open … | [source](https://github.com/foryourhealth111-pixel/Vibe-Skills/tree/34429a8/bundled/skills/openalex-database) | +| `literature-review` | core | Conduct comprehensive, systematic literature reviews using multiple academic databases (PubMed, arXiv, bioRxiv, Semantic Scholar, etc.). This skill should be used when conducting systematic literature reviews, meta-analyses, research … | [source](https://github.com/foryourhealth111-pixel/Vibe-Skills/tree/34429a8/bundled/skills/literature-review) | +| `matlab` | core | MATLAB and GNU Octave numerical computing for matrix operations, data analysis, visualization, and scientific computing. Use when writing MATLAB/Octave scripts for linear algebra, signal processing, image processing, differential … | [source](https://github.com/foryourhealth111-pixel/Vibe-Skills/tree/34429a8/bundled/skills/matlab) | +| `citation-management` | core | Comprehensive citation management for academic research. Resolve bibliographic identifiers, extract accurate metadata, validate citations, deduplicate references, and generate properly formatted BibTeX entries. This skill should be used … | [source](https://github.com/foryourhealth111-pixel/Vibe-Skills/tree/34429a8/bundled/skills/citation-management) | + +## Source: K-Dense-AI/claude-scientific-skills + +- Repository: [https://github.com/K-Dense-AI/claude-scientific-skills](https://github.com/K-Dense-AI/claude-scientific-skills) (commit `4d97e29`, retrieved 2026-07-14) +- License: MIT + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `latex-posters` | core | Create professional research posters in LaTeX using beamerposter, tikzposter, or baposter. Support for conference presentations, academic posters, and scientific communication. Includes layout design, color schemes, multi-column formats, … | [source](https://github.com/K-Dense-AI/claude-scientific-skills/tree/4d97e29/skills/latex-posters) | +| `research-lookup` | core | Look up current research and scientific information across three backends: fast web search via parallel-cli (default), the Parallel Chat API for deep multi-source synthesis, and Perplexity sonar-pro-search for scholarly paper searches. … | [source](https://github.com/K-Dense-AI/claude-scientific-skills/tree/4d97e29/skills/research-lookup) | +| `market-research-reports` | core | Generate comprehensive market research reports (50+ pages) in the style of top consulting firms (McKinsey, BCG, Gartner). Features professional LaTeX formatting, extensive visual generation with scientific-schematics and generate-image, … | [source](https://github.com/K-Dense-AI/claude-scientific-skills/tree/4d97e29/skills/market-research-reports) | +| `scientific-brainstorming` | core | Creative research ideation and exploration. Use for open-ended brainstorming sessions, exploring interdisciplinary connections, challenging assumptions, or identifying research gaps. Best for early-stage research planning when you do not … | [source](https://github.com/K-Dense-AI/claude-scientific-skills/tree/4d97e29/skills/scientific-brainstorming) | +| `venue-templates` | core | Access comprehensive LaTeX templates, formatting requirements, and submission guidelines for major scientific publication venues (Nature, Science, PLOS, IEEE, ACM), academic conferences (NeurIPS, ICML, CVPR, CHI), research posters, and … | [source](https://github.com/K-Dense-AI/claude-scientific-skills/tree/4d97e29/skills/venue-templates) | +| `exa-search` | core | Web toolkit powered by Exa, tuned for scientific and technical content. Use this skill when the user needs to search the web or fetch/extract URL content. Covers: web search (semantic lookups, research, current info — with optional … | [source](https://github.com/K-Dense-AI/claude-scientific-skills/tree/4d97e29/skills/exa-search) | +| `autoskill` | core | Observe the user's screen via screenpipe, detect repeated research workflows, match them against existing scientific-agent-skills, and draft new skills (or composition recipes that chain existing ones) for the patterns not yet covered. Use … | [source](https://github.com/K-Dense-AI/claude-scientific-skills/tree/4d97e29/skills/autoskill) | +| `scholar-evaluation` | core | Systematically evaluate scholarly work using the ScholarEval framework, providing structured assessment across research quality dimensions including problem formulation, methodology, analysis, and writing with quantitative scoring and … | [source](https://github.com/K-Dense-AI/claude-scientific-skills/tree/4d97e29/skills/scholar-evaluation) | +| `scientific-slides` | core | Build slide decks and presentations for research talks. Use this for making PowerPoint slides, conference presentations, seminar talks, research presentations, thesis defense slides, or any scientific talk. Provides slide structure, design … | [source](https://github.com/K-Dense-AI/claude-scientific-skills/tree/4d97e29/skills/scientific-slides) | +| `scientific-writing` | core | Core skill for the deep research and writing tool. Write scientific manuscripts in full paragraphs (never bullet points). Use two-stage process with (1) section outlines with key points using research-lookup then (2) convert to flowing … | [source](https://github.com/K-Dense-AI/claude-scientific-skills/tree/4d97e29/skills/scientific-writing) | +| `geomaster` | core | Comprehensive geospatial science skill covering remote sensing, GIS, spatial analysis, machine learning for earth observation, and 30+ scientific domains. Supports satellite imagery processing (Sentinel, Landsat, MODIS, SAR, … | [source](https://github.com/K-Dense-AI/claude-scientific-skills/tree/4d97e29/skills/geomaster) | +| `statistical-analysis` | core | Guided statistical analysis for research data - test selection, assumption checking, effect sizes, power analysis, Bayesian alternatives, and APA-formatted reporting. Use whenever a user wants to compare groups, test a hypothesis, analyze … | [source](https://github.com/K-Dense-AI/claude-scientific-skills/tree/4d97e29/skills/statistical-analysis) | + +## Source: K-Dense-AI/scientific-agent-skills + +- Repository: [https://github.com/K-Dense-AI/scientific-agent-skills](https://github.com/K-Dense-AI/scientific-agent-skills) (commit `4d97e29`, retrieved 2026-07-14) +- License: MIT + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `latex-posters` | core | Create professional research posters in LaTeX using beamerposter, tikzposter, or baposter. Support for conference presentations, academic posters, and scientific communication. Includes layout design, color schemes, multi-column formats, … | [source](https://github.com/K-Dense-AI/scientific-agent-skills/tree/4d97e29/skills/latex-posters) | +| `research-lookup` | core | Look up current research and scientific information across three backends: fast web search via parallel-cli (default), the Parallel Chat API for deep multi-source synthesis, and Perplexity sonar-pro-search for scholarly paper searches. … | [source](https://github.com/K-Dense-AI/scientific-agent-skills/tree/4d97e29/skills/research-lookup) | +| `market-research-reports` | core | Generate comprehensive market research reports (50+ pages) in the style of top consulting firms (McKinsey, BCG, Gartner). Features professional LaTeX formatting, extensive visual generation with scientific-schematics and generate-image, … | [source](https://github.com/K-Dense-AI/scientific-agent-skills/tree/4d97e29/skills/market-research-reports) | +| `scientific-brainstorming` | core | Creative research ideation and exploration. Use for open-ended brainstorming sessions, exploring interdisciplinary connections, challenging assumptions, or identifying research gaps. Best for early-stage research planning when you do not … | [source](https://github.com/K-Dense-AI/scientific-agent-skills/tree/4d97e29/skills/scientific-brainstorming) | +| `venue-templates` | core | Access comprehensive LaTeX templates, formatting requirements, and submission guidelines for major scientific publication venues (Nature, Science, PLOS, IEEE, ACM), academic conferences (NeurIPS, ICML, CVPR, CHI), research posters, and … | [source](https://github.com/K-Dense-AI/scientific-agent-skills/tree/4d97e29/skills/venue-templates) | +| `exa-search` | core | Web toolkit powered by Exa, tuned for scientific and technical content. Use this skill when the user needs to search the web or fetch/extract URL content. Covers: web search (semantic lookups, research, current info — with optional … | [source](https://github.com/K-Dense-AI/scientific-agent-skills/tree/4d97e29/skills/exa-search) | +| `autoskill` | core | Observe the user's screen via screenpipe, detect repeated research workflows, match them against existing scientific-agent-skills, and draft new skills (or composition recipes that chain existing ones) for the patterns not yet covered. Use … | [source](https://github.com/K-Dense-AI/scientific-agent-skills/tree/4d97e29/skills/autoskill) | +| `scholar-evaluation` | core | Systematically evaluate scholarly work using the ScholarEval framework, providing structured assessment across research quality dimensions including problem formulation, methodology, analysis, and writing with quantitative scoring and … | [source](https://github.com/K-Dense-AI/scientific-agent-skills/tree/4d97e29/skills/scholar-evaluation) | +| `scientific-slides` | core | Build slide decks and presentations for research talks. Use this for making PowerPoint slides, conference presentations, seminar talks, research presentations, thesis defense slides, or any scientific talk. Provides slide structure, design … | [source](https://github.com/K-Dense-AI/scientific-agent-skills/tree/4d97e29/skills/scientific-slides) | +| `scientific-writing` | core | Core skill for the deep research and writing tool. Write scientific manuscripts in full paragraphs (never bullet points). Use two-stage process with (1) section outlines with key points using research-lookup then (2) convert to flowing … | [source](https://github.com/K-Dense-AI/scientific-agent-skills/tree/4d97e29/skills/scientific-writing) | +| `geomaster` | core | Comprehensive geospatial science skill covering remote sensing, GIS, spatial analysis, machine learning for earth observation, and 30+ scientific domains. Supports satellite imagery processing (Sentinel, Landsat, MODIS, SAR, … | [source](https://github.com/K-Dense-AI/scientific-agent-skills/tree/4d97e29/skills/geomaster) | +| `statistical-analysis` | core | Guided statistical analysis for research data - test selection, assumption checking, effect sizes, power analysis, Bayesian alternatives, and APA-formatted reporting. Use whenever a user wants to compare groups, test a hypothesis, analyze … | [source](https://github.com/K-Dense-AI/scientific-agent-skills/tree/4d97e29/skills/statistical-analysis) | + +## Source: makenotion/claude-code-notion-plugin + +- Repository: [https://github.com/makenotion/claude-code-notion-plugin](https://github.com/makenotion/claude-code-notion-plugin) (commit `9847f2a`, retrieved 2026-07-14) +- License: no explicit license — referenced by link only + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `notion-research-documentation` | core | Searches across your Notion workspace, synthesizes findings from multiple pages, and creates comprehensive research documentation saved as new Notion pages. Turns scattered information into structured reports with proper citations and … | [source](https://github.com/makenotion/claude-code-notion-plugin/tree/9847f2a/skills/notion/research-documentation) | + +## Source: mohitagw15856/pm-claude-skills + +- Repository: [https://github.com/mohitagw15856/pm-claude-skills](https://github.com/mohitagw15856/pm-claude-skills) (commit `876fa30`, retrieved 2026-07-14) +- License: MIT + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `research-protocol` | core | Write a structured research protocol or study design document. Use when asked to write a research protocol, study protocol, research plan, methodology section, or research proposal. Produces a complete protocol with objectives, … | [source](https://github.com/mohitagw15856/pm-claude-skills/tree/876fa30/plugins/pm-research/skills/research-protocol) | + +## Source: nexu-io/open-design + +- Repository: [https://github.com/nexu-io/open-design](https://github.com/nexu-io/open-design) (commit `4b66023`, retrieved 2026-07-14) +- License: Apache-2.0 + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `kami-deck` | core | A lab-meeting deck on gut-microbiome links to sleep quality — the design, the results, the caveats, and the next experiment. Built as a decision-grade academic research deck for lab group, PI. | [source](https://github.com/nexu-io/open-design/tree/4b66023/design-templates/kami-deck) | + +## Source: open-gitagent/opengap + +- Repository: [https://github.com/open-gitagent/opengap](https://github.com/open-gitagent/opengap) (commit `d7a8e2e`, retrieved 2026-07-14) +- License: MIT + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `research` | core | Researches a topic by breaking it into subtopics, gathering factual information with reasoning, and producing a structured summary with key findings and open questions. Use when the user asks to research, investigate, look up, summarize a … | [source](https://github.com/open-gitagent/opengap/tree/d7a8e2e/examples/lyzr-agent/skills/research) | + +## Source: OpenRaiser/NanoResearch + +- Repository: [https://github.com/OpenRaiser/NanoResearch](https://github.com/OpenRaiser/NanoResearch) (commit `7144364`, retrieved 2026-07-14) +- License: MIT + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `academic-plotting` | core | Generates publication-quality figures for ML papers from research context. Given a paper section or description, extracts system components and relationships to generate architecture diagrams via Gemini. Given experiment results or data, … | [source](https://github.com/OpenRaiser/NanoResearch/tree/7144364/skills/vendor-ai-research/academic-plotting) | + +## Source: Orchestra-Research/AI-research-SKILLs + +- Repository: [https://github.com/Orchestra-Research/AI-research-SKILLs](https://github.com/Orchestra-Research/AI-research-SKILLs) (commit `773a529`, retrieved 2026-07-14) +- License: MIT + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `academic-plotting` | core | Generates publication-quality figures for ML papers from research context. Given a paper section or description, extracts system components and relationships to generate architecture diagrams via Gemini. Given experiment results or data, … | [source](https://github.com/Orchestra-Research/AI-research-SKILLs/tree/773a529/20-ml-paper-writing/academic-plotting) | + +## Source: sanjay3290/ai-skills + +- Repository: [https://github.com/sanjay3290/ai-skills](https://github.com/sanjay3290/ai-skills) (commit `3619692`, retrieved 2026-07-14) +- License: Apache-2.0 + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `deep-research` | core | Execute autonomous multi-step research using Google Gemini Deep Research Agent. Use for: market analysis, competitive landscaping, literature reviews, technical research, due diligence. Takes 2-10 minutes but produces detailed, cited … | [source](https://github.com/sanjay3290/ai-skills/tree/3619692/skills/deep-research) | + +## Source: wanshuiyin/Auto-claude-code-research-in-sleep + +- Repository: [https://github.com/wanshuiyin/Auto-claude-code-research-in-sleep](https://github.com/wanshuiyin/Auto-claude-code-research-in-sleep) (commit `eb5c9d7`, retrieved 2026-07-14) +- License: MIT + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `research-wiki` | core | Persistent research knowledge base that accumulates papers, ideas, experiments, claims, and their relationships across the entire research lifecycle. Inspired by Karpathy's LLM Wiki pattern. Use when user says \"知识库\", \"research wiki\", … | [source](https://github.com/wanshuiyin/Auto-claude-code-research-in-sleep/tree/eb5c9d7/skills/research-wiki) | +| `experiment-plan` | core | Turn a refined research proposal or method idea into a detailed, claim-driven experiment roadmap. Use after `research-refine`, or when the user asks for a detailed experiment plan, ablation matrix, evaluation protocol, run order, compute … | [source](https://github.com/wanshuiyin/Auto-claude-code-research-in-sleep/tree/eb5c9d7/skills/experiment-plan) | + +## Source: zebbern/claude-code-guide + +- Repository: [https://github.com/zebbern/claude-code-guide](https://github.com/zebbern/claude-code-guide) (commit `d2c5280`, retrieved 2026-07-14) +- License: MIT + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `vc-industry-research` | core | Generate professional primary market / venture capital industry research reports, including sector deep-dives, investment memos, and market analysis. Produces detailed PDF reports covering TMT, consumer, healthcare, and industrials. … | [source](https://github.com/zebbern/claude-code-guide/tree/d2c5280/skills/vc-industry-research) | + +## Source: zechenzhangAGI/AI-research-SKILLs + +- Repository: [https://github.com/zechenzhangAGI/AI-research-SKILLs](https://github.com/zechenzhangAGI/AI-research-SKILLs) (commit `773a529`, retrieved 2026-07-14) +- License: MIT + +| Skill | Tier | What it adds | Upstream | +|---|---|---|---| +| `academic-plotting` | core | Generates publication-quality figures for ML papers from research context. Given a paper section or description, extracts system components and relationships to generate architecture diagrams via Gemini. Given experiment results or data, … | [source](https://github.com/zechenzhangAGI/AI-research-SKILLs/tree/773a529/20-ml-paper-writing/academic-plotting) | diff --git a/references/berufsbild-de.md b/references/berufsbild-de.md new file mode 100644 index 0000000..6c56e94 --- /dev/null +++ b/references/berufsbild-de.md @@ -0,0 +1,128 @@ +# Berufsbild (Deutschland) — Mathematiker/in + +> **Quelle:** BERUFENET, Bundesagentur für Arbeit — Beruf-ID 59494, +> KldB 2010: B 41104 · via öffentliche BERUFENET-API, +> abgerufen 2026-07-12. Automatisches Label-Matching +> (Score 1.00); Inhalte paraphrasiert/gekürzt, Volltext beim +> Original: https://web.arbeitsagentur.de/berufenet/beruf/59494 + +## Aufgaben und Tätigkeiten kompakt + +Mathematiker und Mathematikerinnen arbeiten in vielfältigen Bereichen wie Industrie, Wirtschaft, IT oder Forschung. Sie entwickeln mathematische Modelle, analysieren komplexe Systeme und setzen Methodisches Rechenverfahren zum Lösen einer vorgegebenen Aufgabe oder eines Problems +" name="Algorithmus">Algorithmen sowie statistische Verfahren ein. In der Marktforschung, Unternehmensberatung oder im Controlling bewerten sie Daten, kalkulieren Risiken und optimieren Geschäftsprozesse. Auch in der Softwareentwicklung, Versicherungswirtschaft und Pharmaindustrie tragen sie zur Produktentwicklung und Qualitätssicherung bei. In der Forschung beschäftigen sie sich z.B. mit Fragestellungen der reinen Mathematik, etwa Teilgebiet der Mathematik, das sich mit formalen Operationen (Gleichungen) und Beziehungen zwischen mathematischen Größen beschäftigt +" name="Algebra">Algebra oder Teildisziplin der Mathematik; behandelt linien-, flächenförmige und räumliche Gebilde, sowie Gesetzmäßigkeiten, die sich auf Größe, Form und Lage beziehen +" name="Geometrie">Geometrie, und veröffentlichen ihre Ergebnisse. An Hochschulen lehren sie, betreuen Studierende und gestalten Lehrveranstaltungen. + +## Tätigkeitsbezeichnungen + +Mathematiker/in + +Abweichende Berufsbezeichnung der ehemaligen DDRDiplom-Mathematiker/Diplom-Mathematikerin (Uni) Fachrichtung Mathematische Informatik + +Berufsbezeichnungen in englischer SpracheMathematician (m/f) + +Research scientist (m/f) (maths) + +Berufsbezeichnung in französischer SpracheMathématicien/Mathématicienne + +## Die Tätigkeit im Überblick + +Mathematiker und Mathematikerinnen entwickeln mathematische Formeln, Theorien und Methoden weiter und übertragen ihre Erkenntnisse auf praktische Anwendungsgebiete, z.B. in der Medizin, den Natur-, und Ingenieurswissenschaften oder den Wirtschafts- und Sozialwissenschaften. + +## Aufgaben und Tätigkeiten (Beschreibung) + +Worum geht es?Mathematiker/innen entwickeln mathematische Formeln, Theorien und Methoden weiter und übertragen die gewonnenen Erkenntnisse auf praktische Anwendungsgebiete, z.B. der Medizin, Natur-, Ingenieur- oder Wirtschafts- und Sozialwissenschaften. +Angewandte MathematikSehr viele Probleme in den Naturwissenschaften (Biologie, Chemie, Physik) und den technischen Berufen (Bauingenieurwesen, Luft- und Raumfahrt, Softwareentwicklung, Pharmaindustrie) sowie der Volks- und Betriebswirtschaften lassen sich in mathematische Fragestellungen umformulieren und als solche lösen. Mathematiker/innen beziehen die Erkenntnisse aus der Beschäftigung mit der reinen Mathematik auf die Praxis. Die auch: Numerik + Teilgebiet der Mathematik, dessen Aufgabe die zahlenmäßige Behandlung mathematischer Probleme ist, v.a. mittels Näherungsverfahren +" name="Numerische Mathematik">Numerische Mathematik etwa dient ihnen dazu, Methodisches Rechenverfahren zum Lösen einer vorgegebenen Aufgabe oder eines Problems +" name="Algorithmus">Algorithmen für die Lösung von Auch: Differentialrechnung + Teilgebiet der höheren Mathematik bzw. der Analysis +" name="Differenzialrechnung">Differenzialgleichungen zu entwickeln, mit denen Mathematiker/innen dann wiederum z.B. Vorgänge an Finanzmärkten beschreiben. Mithilfe der Stochastik entwickeln sie Methoden zur Analyse von zufälligen Phänomenen, z.B. von Preisformeln für an Börsen gehandelte Finanzinstrumente, deren Preis von Börsen- oder Marktpreisen anderer Vermögenswerte wie Wertpapieren, Rohstoffen, Edelmetallen, Devisen oder Zinssätzen abhängt +" name="Derivate">Derivate. + In der Technomathematik entwickeln sie computergerechte mathematische Modelle, mit denen man technische Fragestellungen lösen und auswerten kann. So können z.B. rechnerunterstützte Analysesysteme zur Wirksamkeit von Medikamenten kostenaufwendige Tests und Experimente ersetzen. Ebenso sind Mathematiker/innen bei Marktanalysen, Systemkonzepten oder Produktprognosen, beim Entwurf von Prototypen, bei der Optimierung von Produktionsprozessen oder in der Qualitätssicherung gefragt. In der Anwendungsberatung beraten, betreuen und schulen sie Kunden oder Mitarbeiter/innen z.B. im Hinblick auf neue Systeme und Software. Möglich ist auch eine Tätigkeit in der Softwaredokumentation oder in der technischen Redaktion beispielsweise für Handbücher, Anleitungen, Fachzeitschriften. +Vielfältige EinsatzmöglichkeitenIm Bankenbereich werden Mathematiker/innen in vielen Aufgabenbereichen eingeset + +## Aufgaben und Tätigkeiten im Einzelnen + +Instrumentarium bereitstellen, um Fragestellungen aus Natur-, Ingenieur-, Sozial-, Wirtschaftswissenschaften und Medizin zu bearbeiten + +aus praktischen Aufgabenstellungen in Industrie und Wirtschaft technische, wirtschaftliche bzw. wissenschaftliche Fragestellungen beschreiben und analysieren (Wirtschaftsmathematik) + +geeignete Lösungsverfahren (z.B. Methodisches Rechenverfahren zum Lösen einer vorgegebenen Aufgabe oder eines Problems +" name="Algorithmus">Algorithmen, Mathematik: Numerisches Verfahren, bei dem man sich schrittweise an eine exakte Lösung annähert +" name="Iterationsverfahren">Iterationsverfahren, Simulationsverfahren u.Ä.) für theoretische Modelle auswählen, anpassen oder entwickeln + +Angewandte Mathematikmithilfe von Computern Probleme und Lösungswege simulieren und berechnen + +Ergebnisse interpretieren, auswerten, verständlich darstellen und in die Sprache der Technik bzw. Wirtschafts- und Sozialwissenschaften rückübersetzen + +Im Finanz- und Versicherungswesen Statistiken, Tarife, Risiken und Kursentwicklungen analysieren + +biologische oder medizinische Fragestellungen untersuchen (Biomathematik) + +mathematische Modelle für Umweltschutz und Ökologie entwickeln (angewandte Systemwissenschaft) + +Datenverarbeitung (Technomathematik)Software für kommerzielle und technische Anwendungen entwickeln + +in den Bereichen Datenverarbeitungs-Organisation, Systemanalyse, System-, Datenbank- und Netzwerkmanagement, Beratung, Schulung und Vertrieb mitwirken + +Betriebe zu Hard- und Softwareeinsatz beraten; Mitarbeitende schulen + +an Systemkonzepten und Prototypen mitwirken + + Forschung und Lehrereine Mathematik (Teilgebiet der Mathematik, das sich mit formalen Operationen (Gleichungen) und Beziehungen zwischen mathematischen Größen beschäftigt +" name="Algebra">Algebra, Teilgebiet der Mathematik, das sich mit Funktionen, Grenzwerten sowie Differential- und Integralrechnung beschäftigt +" name="Analysis">Analysis, Teildisziplin der Mathematik; behandelt linien-, flächenförmige und räumliche Gebilde, sowie Gesetzmäßigkeiten, die sich auf Größe, Form und Lage beziehen +" name="Geometrie">Geometrie, Geometrie: Lehre von Lage und Ausdehnung von Körpern im Raum +" name="Topologie">Topologie, Zahlentheorie): möglichst viele Aussagen aus wenigen Grundsätzliche Aussage, die als Grundlage ohne Beweis akzeptiert wird +" name="Axiom">Axiomen herleiten + + Modelle entwickeln, die reale Strukturen und Systeme abbilden + +Forschungsprojekte planen; Forschungsaufträge akquirieren; Forschun + +## Berufliche Einsatzmöglichkeiten + +Datenerhebung, -analyseBiometriker/Biometrikerin + +Business-Intelligence-Consultant + +Demograf/Demografin + +Statistiker/Statistikerin + +Data Engineer + +Digital-Analyst/Digital-Analystin + +Data-Analyst/Data-Analystin + +Informationsbeschaffung, -erschließung, -aufbereitungData-Warehouse-Analyst/Data-Warehouse-Analystin + +IT-Anwendungsberatung, -TrainingEthical Hacker + +IT-Koordination, -Organisation, -ManagementIT-Organisator/IT-Organisatorin + +IT-Manager/IT-Managerin + +Leiter/Leiterin der Softwareentwicklung + +Leiter/Leiterin der IT + +IT-Dispatcher/IT-Dispatcherin + +Lehrtätigkeit an HochschulenDozent/Dozentin an Hochschulen und Akademien + +Studiengangkoordinator/Studiengangkoordinatorin + +SoftwareentwicklungSoftwareentwickler/Softwareentwicklerin + +Verfahrens-, ProduktentwicklungLeiter/Leiterin in der Forschung und Entwicklung + +Wissenschaftliche ForschungForschungsreferent/Forschungsreferentin + +Leiter einer Forschungsgruppe/Leiterin einer Forschungsgruppe + +Konjunkturforscher/Konjunkturforscherin + +Wissenschaftlicher Mitarbeiter/Wissenschaftliche Mitarbeiterin diff --git a/references/market.md b/references/market.md new file mode 100644 index 0000000..b39c08a --- /dev/null +++ b/references/market.md @@ -0,0 +1,152 @@ +# Market evidence report — mathematician + +Source: **37 real job ads** (JSearch API, countries: us 37), extracted into the MSSQL evidence store; as of 2026-07-17. +This report contains extracted, aggregated facts only — no ad text is +reproduced (copyright / platform terms). + +## Seniority distribution + +| Seniority | Ads | Share | +|---|---|---| +| mid | 27 | 73 % | +| n/a | 9 | 24 % | +| senior | 1 | 3 % | + +## Tools — full market ranking + +| # | Item | Ads | Share | +|---|---|---|---| +| 1 | Python | 7 | 19 % | +| 2 | MATLAB | 5 | 14 % | +| 3 | C++ | 4 | 11 % | +| 4 | Lean 4 | 4 | 11 % | +| 5 | standard software applications | 4 | 11 % | +| 6 | mathlib | 3 | 8 % | + +## Hard skills — full market ranking + +| # | Item | Ads | Share | +|---|---|---|---| +| 1 | data analysis | 16 | 43 % | +| 2 | mathematical modeling | 12 | 32 % | +| 3 | algorithm development | 7 | 19 % | +| 4 | scientific research | 6 | 16 % | +| 5 | statistical analysis | 6 | 16 % | +| 6 | statistical modeling | 6 | 16 % | +| 7 | ai model evaluation | 4 | 11 % | +| 8 | mathematical reasoning | 4 | 11 % | +| 9 | problem solving | 4 | 11 % | +| 10 | proof verification | 4 | 11 % | +| 11 | technical evaluation | 4 | 11 % | +| 12 | algorithm design | 3 | 8 % | +| 13 | data collection | 3 | 8 % | +| 14 | data engineering | 3 | 8 % | +| 15 | data mining | 3 | 8 % | +| 16 | data processing | 3 | 8 % | +| 17 | data warehousing | 3 | 8 % | +| 18 | machine learning | 3 | 8 % | +| 19 | mathematical analysis | 3 | 8 % | +| 20 | mathematical problem solving | 3 | 8 % | +| 21 | theorem proving | 3 | 8 % | + +## Methods — full market ranking + +| # | Item | Ads | Share | +|---|---|---|---| +| 1 | machine learning | 4 | 11 % | +| 2 | continuous auditing | 3 | 8 % | +| 3 | multi-INT analytics | 3 | 8 % | + +## Responsibilities — full market ranking + +| # | Item | Ads | Share | +|---|---|---|---| +| 1 | data analysis | 7 | 19 % | +| 2 | problem solving | 5 | 14 % | +| 3 | data gathering | 4 | 11 % | +| 4 | data processing | 4 | 11 % | +| 5 | policy development | 4 | 11 % | +| 6 | research program direction | 4 | 11 % | +| 7 | ai methodology evaluation | 3 | 8 % | +| 8 | algorithm development | 3 | 8 % | +| 9 | analytics project leadership | 3 | 8 % | +| 10 | data exploration | 3 | 8 % | +| 11 | model development | 3 | 8 % | +| 12 | project facilitation | 3 | 8 % | +| 13 | proof auditing | 3 | 8 % | +| 14 | proof construction | 3 | 8 % | +| 15 | tevv procedure development | 3 | 8 % | + +## Regional breakdown + +> **Corpus note:** 37 relevant ads in total — below the 100-ad target for a fully reliable ranking. Percentages above should be read as indicative. + +### US (us) + +37 ads. + +**Top hard skills:** + +- data analysis — 43 % (16 ads) +- mathematical modeling — 32 % (12 ads) +- algorithm development — 19 % (7 ads) +- scientific research — 16 % (6 ads) +- statistical analysis — 16 % (6 ads) +- statistical modeling — 16 % (6 ads) +- ai model evaluation — 11 % (4 ads) +- mathematical reasoning — 11 % (4 ads) +- problem solving — 11 % (4 ads) +- proof verification — 11 % (4 ads) + +**Top tools:** + +- Python — 19 % (7 ads) +- MATLAB — 14 % (5 ads) +- C++ — 11 % (4 ads) +- Lean 4 — 11 % (4 ads) +- standard software applications — 11 % (4 ads) +- mathlib — 8 % (3 ads) +- Java — 5 % (2 ads) + +**Seniority:** mid 73 % · n/a 24 % · senior 3 % + +### UK (gb) + +**Insufficient evidence** — 0 ads (minimum for a regional ranking: 30). No ranking is reported for this region. + +### EU/DACH (de, at, ch, nl) + +**Insufficient evidence** — 0 ads (minimum for a regional ranking: 30). No ranking is reported for this region. + + +## Job title variants in the market + +| Title | Ads | +|---|---| +| Mathematician | 9 | +| Statistician and Mathematician | 3 | +| Remote Applied Mathematician for AI Model Evaluation | 2 | +| Applied Mathematician | 1 | +| Applied Mathematician — Electronic Trading & Quantitative Finance | 1 | +| Applied Mathematician- Multi-Object Tracking | 1 | +| Applied Mathematician- Multi-Object Tracking with Security Clearance | 1 | +| Applied Mathematician/Analyst | 1 | +| Applied Mathematician--Communications, Navigation, and Timing En with Security Clearance | 1 | +| Applied Mathematician--Communications, Navigation, and Timing Engineering (PhD Preferred) | 1 | +| Applied Research Mathematician | 1 | +| Applied Research Mathematician (Junior - Senior) | 1 | +| Applied Research Mathematician / Quantum Computing - Mid to Expert Level (Maryland) | 1 | +| Applied Research Mathematician Junior - Senior | 1 | +| Mathematician – Foundations | 1 | +| Mathematician – Foundations & Formal Proof (AI Training) | 1 | +| Mathematician (Foundations / Formalization) (Hiring Immediately) | 1 | +| Mathematician/Statistician | 1 | +| Mathematicians | 1 | +| Mathematics Researcher (Masters/PhDs) | 1 | +| Postdoctoral Fellow - Applied Mathematics & Statistics | 1 | +| R&D Mathematician | 1 | +| Research Mathematician — Formalization | 1 | +| Senior Game Mathematician — Flexible Schedule & RTP Insight | 1 | +| Senior Statistician/Mathematician (QAF Accreditation) - OBIQUA | 1 | + +Methodology: entities extracted per ad ({hard_skills, tools, methods, responsibilities, seniority}), normalized, counted as DISTINCT ads per entity; report threshold ≥ 3 ads. Headline sections in skills.md/tools.md use the stricter ≥ 20 % threshold. diff --git a/references/profile.md b/references/profile.md new file mode 100644 index 0000000..1878ae4 --- /dev/null +++ b/references/profile.md @@ -0,0 +1,29 @@ +# Occupation profile — mathematician + +- **ESCO URI:** http://data.europa.eu/esco/occupation/72628f3a-fd49-499a-9741-870b0a1fcef2 +- **ESCO code:** 2120.5 +- **ISCO-08 group:** 2120 — Mathematicians, actuaries and statisticians +- **O*NET-SOC:** 15-2021.00 — Mathematicians (match: exactMatch) + +## Description (ESCO) + +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. + +## Definition + +nan + +## Alternative labels + +- logic research scientist +- mathematicians +- mathematics science researcher +- logic researcher +- logic science researcher +- mathematics scholar +- mathematics research scientist +- mathematics scientist +- logician +- logic scholar +- mathematics researcher +- logic scientist diff --git a/references/skills.md b/references/skills.md new file mode 100644 index 0000000..93f6b98 --- /dev/null +++ b/references/skills.md @@ -0,0 +1,107 @@ +# Competences — mathematician + +Source: ESCO v1.2.1 occupation-skill relations (http://data.europa.eu/esco/occupation/72628f3a-fd49-499a-9741-870b0a1fcef2). + +## Essential + +- **algebra** (knowledge) +- **apply for research funding** (skill/competence) +- **apply research ethics and scientific integrity principles in research activities** (skill/competence) +- **apply scientific methods** (skill/competence) +- **communicate mathematical information** (skill/competence) +- **communicate with a non-scientific audience** (skill/competence) +- **conduct quantitative research** (skill/competence) +- **conduct research across disciplines** (skill/competence) +- **create solutions to problems** (skill/competence) +- **demonstrate disciplinary expertise** (skill/competence) +- **develop professional network with researchers and scientists** (skill/competence) +- **digital data processing** (nan) +- **disseminate results to the scientific community** (skill/competence) +- **draft scientific or academic papers and technical documentation** (skill/competence) +- **evaluate research activities** (skill/competence) +- **execute analytical mathematical calculations** (skill/competence) +- **increase the impact of science on policy and society** (skill/competence) +- **integrate gender dimension in research** (skill/competence) +- **interact professionally in research and professional environments** (skill/competence) +- **manage findable accessible interoperable and reusable data** (skill/competence) +- **manage intellectual property rights** (skill/competence) +- **manage open publications** (skill/competence) +- **manage personal professional development** (skill/competence) +- **manage research data** (skill/competence) +- **mathematical modelling** (knowledge) +- **mathematics** (knowledge) +- **mentor individuals** (skill/competence) +- **Monte Carlo simulation** (knowledge) +- **numerical sequences** (knowledge) +- **operate open source software** (skill/competence) +- **perform project management** (skill/competence) +- **perform scientific research** (skill/competence) +- **promote open innovation in research** (skill/competence) +- **promote the participation of citizens in scientific and research activities** (skill/competence) +- **promote the transfer of knowledge** (skill/competence) +- **publish academic research** (skill/competence) +- **scientific modelling** (knowledge) +- **scientific research methodology** (knowledge) +- **speak different languages** (skill/competence) +- **statistics** (knowledge) +- **study the relationships between quantities** (skill/competence) +- **synthesise information** (skill/competence) +- **think abstractly** (skill/competence) +- **write scientific publications** (skill/competence) + +## Optional + +- algorithms (knowledge) +- apply blended learning (skill/competence) +- apply statistical analysis techniques (skill/competence) +- assist scientific research (skill/competence) +- carry out statistical forecasts (skill/competence) +- computer science (knowledge) +- computer simulation (knowledge) +- create software design (skill/competence) +- data science (knowledge) +- develop financial statistics reports (skill/competence) +- develop scientific theories (skill/competence) +- develop statistical software (skill/competence) +- empirical analysis (knowledge) +- geometry (knowledge) +- instrumentation engineering (knowledge) +- logic (knowledge) +- mathematical economics (knowledge) +- mathematical physics (knowledge) +- mechanical engineering (knowledge) +- metalogic (knowledge) +- operational research (knowledge) +- perform lectures (skill/competence) +- philosophy (knowledge) +- philosophy of mathematics (knowledge) +- prepare lesson content (skill/competence) +- provide lesson materials (skill/competence) +- quantitative analysis (knowledge) +- quantum computing (knowledge) +- SAS language (knowledge) +- set theory (knowledge) +- statistical analysis system software (knowledge) +- statistical modeling techniques (knowledge) +- supercomputing (knowledge) +- teach in academic or vocational contexts (skill/competence) +- use software tools for site modelling (skill/competence) +- use spreadsheets software (skill/competence) + + + +## Market evidence (job-ad analysis, 37 ads, as of 2026-07-17) + +Share of analyzed job ads mentioning the item (threshold ≥ 20 %). Source: JSearch/Adzuna APIs. + +### Hard skills + +- data analysis — **43 %** +- mathematical modeling — **32 %** +- algorithm development — **19 %** + +### Responsibilities + +- data analysis — **19 %** + + diff --git a/references/tasks.md b/references/tasks.md new file mode 100644 index 0000000..1d50817 --- /dev/null +++ b/references/tasks.md @@ -0,0 +1,35 @@ +# Tasks & work activities — mathematician + +Source: O*NET 30.3, occupation 15-2021.00 (Mathematicians). + +## Task statements + +- **[Core]** Disseminate research by writing reports, publishing papers, or presenting at professional conferences. +- **[Core]** Mentor others on mathematical techniques. +- **[Core]** Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields. +- **[Core]** Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry. +- **[Core]** Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences. +- **[Core]** Perform computations and apply methods of numerical analysis to data. +- **[Core]** Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation. +- **[Core]** Assemble sets of assumptions, and explore the consequences of each set. +- **[Core]** Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols. +- **[Core]** Develop new principles and new relationships between existing mathematical principles to advance mathematical science. +- **[Core]** Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic. +- **[Supplemental]** Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code. + +## Detailed work activities + +- Analyze data to identify trends or relationships among variables. +- Analyze security of systems, network, or data. +- Apply mathematical principles or statistical approaches to solve problems in scientific or applied fields. +- Collaborate on research activities with scientists or technical specialists. +- Design computer modeling or simulation programs. +- Determine appropriate methods for data analysis. +- Develop computer or information security policies or procedures. +- Develop scientific or mathematical models. +- Prepare analytical reports. +- Present research results to others. +- Provide technical guidance to other personnel. +- Review professional literature to maintain professional knowledge. +- Update knowledge about emerging industry or technology trends. +- Update professional knowledge. diff --git a/references/tools.md b/references/tools.md new file mode 100644 index 0000000..2dac8c7 --- /dev/null +++ b/references/tools.md @@ -0,0 +1,111 @@ +# Tools & technology — mathematician + +Source: O*NET 30.3 'Software Skills' for 15-2021.00. + +| Software | Category | Hot technology | +|---|---|---| +| IBM SPSS Statistics | Analytical or scientific software | yes | +| SAS | Analytical or scientific software | yes | +| The MathWorks MATLAB | Analytical or scientific software | yes | +| Tableau | Business intelligence and data analysis software | yes | +| Atlassian JIRA | Content workflow software | yes | +| Salesforce software | Customer relationship management CRM software | yes | +| MySQL | Data base management system software | yes | +| Microsoft Access | Data base user interface and query software | yes | +| Structured query language SQL | Data base user interface and query software | yes | +| C | Development environment software | yes | +| Microsoft Visual Basic | Development environment software | yes | +| Microsoft Visual Studio | Development environment software | yes | +| Microsoft Outlook | Electronic mail software | yes | +| Extensible markup language XML | Enterprise application integration software | yes | +| Adobe Photoshop | Graphics or photo imaging software | yes | +| C# | Object or component oriented development software | yes | +| C++ | Object or component oriented development software | yes | +| Oracle Java | Object or component oriented development software | yes | +| Perl | Object or component oriented development software | yes | +| Python | Object or component oriented development software | yes | +| R | Object or component oriented development software | yes | +| Microsoft Office software | Office suite software | yes | +| Apple macOS | Operating system software | yes | +| Bash | Operating system software | yes | +| Linux | Operating system software | yes | +| Microsoft Windows | Operating system software | yes | +| UNIX | Operating system software | yes | +| Microsoft PowerPoint | Presentation software | yes | +| Microsoft Excel | Spreadsheet software | yes | +| Cascading style sheets CSS | Web platform development software | yes | +| Hypertext markup language HTML | Web platform development software | yes | +| JavaScript | Web platform development software | yes | +| PHP | Web platform development software | yes | +| Microsoft Word | Word processing software | yes | +| Algae | Analytical or scientific software | | +| AMPL | Analytical or scientific software | | +| Analyse-it | Analytical or scientific software | | +| Analysis and Visualization of Time Sequences AVTS | Analytical or scientific software | | +| Apfloat | Analytical or scientific software | | +| Apple Shazam | Analytical or scientific software | | +| Aptech Systems GAUSS | Analytical or scientific software | | +| ARfit | Analytical or scientific software | | +| Aztec | Analytical or scientific software | | +| Computer Algebra System for Algebraic Geometry CASA | Analytical or scientific software | | +| Data visualization software | Analytical or scientific software | | +| DataDescription DataDesk | Analytical or scientific software | | +| DifEqu | Analytical or scientific software | | +| Discrete Dynamics Lab DDLab | Analytical or scientific software | | +| DSP Development DADiSP | Analytical or scientific software | | +| EleSoft Research | Analytical or scientific software | | +| Geomview | Analytical or scientific software | | +| GNU Octave | Analytical or scientific software | | +| Graphics Programming Environment GRAPE | Analytical or scientific software | | +| GraphPad Software GraphPad Prism | Analytical or scientific software | | +| IBM SPSS Amos | Analytical or scientific software | | +| Insightful S-PLUS | Analytical or scientific software | | +| Interactive Mathematical Proof System IMPS | Analytical or scientific software | | +| JACAL | Analytical or scientific software | | +| KANT | Analytical or scientific software | | +| KSEG | Analytical or scientific software | | +| LINDO Systems LINDO API | Analytical or scientific software | | +| MacKichan Software Scientific WorkPlace | Analytical or scientific software | | +| Magma Design Automation software | Analytical or scientific software | | +| Maplesoft Maple | Analytical or scientific software | | +| Mathsoft Mathcad | Analytical or scientific software | | +| Maxima Software | Analytical or scientific software | | +| Maximal Software MPL Modeling System | Analytical or scientific software | | +| Minitab | Analytical or scientific software | | +| ModelKinetix ModelMaker | Analytical or scientific software | | +| Multipath Corporation Fast Matrix Solver FMS | Analytical or scientific software | | +| Numeritek NUMERICA | Analytical or scientific software | | +| PARI/GP | Analytical or scientific software | | +| Polymath Software POLYMATH | Analytical or scientific software | | +| Provalis Research Simstat | Analytical or scientific software | | +| Sage Accounting Software | Analytical or scientific software | | +| StataCorp Stata | Analytical or scientific software | | +| STATISTICA | Analytical or scientific software | | +| SuperANOVA | Analytical or scientific software | | +| Symmetrica | Analytical or scientific software | | +| Systat Software SigmaPlot | Analytical or scientific software | | +| The MathWizards MathViews | Analytical or scientific software | | +| UNISTAT Statistical Package | Analytical or scientific software | | +| Wolfram Research Mathematica | Analytical or scientific software | | +| MicroPress VTeX | Desktop publishing software | | +| Formula translation/translator FORTRAN | Development environment software | | +| Version control software | File versioning software | | +| Chatbot software | Industrial control software | | +| Web browser software | Internet browser software | | +| Perforce software | Metadata management software | | +| Vormetric Application Encryption | Network security or virtual private network VPN management software | | +| Object oriented development environment software | Object or component oriented development software | | +| User interface design software | Program testing software | | +| Web server software | Transaction server software | | + + + +## Market evidence (job-ad analysis, 37 ads, as of 2026-07-17) + +Share of analyzed job ads mentioning the item (threshold ≥ 20 %). Source: JSearch/Adzuna APIs. + +### Tools + +- Python — **19 %** + +