What it pays
Government survey numbers — not estimates, not ads.
Half of all Mathematicians in the U.S. earn more than $126,710 a year — the middle 80% land between $69,240 and $195,190. About 2,030 people in the U.S. do this work. Figures are for the U.S. occupation group “Mathematicians”. (U.S. Bureau of Labor Statistics survey, published 2025.) In India, Professionals earn about ₹38,298 a month on average — around ₹4.6 lakh a year (government PLFS survey via ILOSTAT, occupation-family figure).
$126,710typical pay / year
2,030people in this work
$195,190+top 10% earn
₹4.6 lakha year in India (family avg)
Think you get this job?Six quick questions on how it really works — with a hint and the reason behind every answer.
Test yourself →The work, task by task
These are the real jobs-to-be-done, not a wish list. Each task shows where we found it, and the prompt underneath is written for that exact task.
Learning3
Perform actuarial computations
+Run the actuarial computation on the mortality and breach-loss datasets, use a Gompertz mortality assumption…
Perform actuarial computations
+Run the actuarial computation on the mortality and breach-loss datasets, use a Gompertz mortality assumption and credibility weighting, produce a table of best-fit parameters with standard errors and a one-page summary of reserve impact for the desk by Tuesday morning.
The tools that do the workC++job descriptionsO*NETWikipedia
Pasted it? Good. When the reply comes back, push once: ask it to sharpen the weakest part. — Did this prompt help?
Mentor others on mathematical techniques
+Prepare a two-hour workshop for junior cryptographers teaching lattice reduction, modular arithmetic tricks,…
Mentor others on mathematical techniques
+Prepare a two-hour workshop for junior cryptographers teaching lattice reduction, modular arithmetic tricks, and probabilistic method proofs, include three worked examples, a short problem set with solutions, and an annotated reading list to distribute before Thursday.
The tools that do the workLinuxjob descriptionsO*NETWikipedia
Pasted it? Good. When the reply comes back, push once: ask it to sharpen the weakest part. — Did this prompt help?
Research and discover new mathematical ideas
+Search the literature and run exploratory experiments on new homomorphic hash constructions, draft two…
Research and discover new mathematical ideas
+Search the literature and run exploratory experiments on new homomorphic hash constructions, draft two candidate conjectures with proof sketches, and assemble the failed experiments and next steps into a research note for the group by next Friday.
The tools that do the workC++ESCOO*NETWikipedia
Pasted it? Good. When the reply comes back, push once: ask it to sharpen the weakest part. — Did this prompt help?
Analysing1
Design mathematical models to interpret data
+Design a statistical model that maps side-channel trace features to key leakage using a hierarchical Bayesian…
Design mathematical models to interpret data
+Design a statistical model that maps side-channel trace features to key leakage using a hierarchical Bayesian structure, specify priors, simulate posterior recovery on synthetic traces, and deliver model code plus diagnostic plots and interpretation notes by Wednesday.
The tools that do the workIBM SPSS Statisticsjob descriptionsWikipedia
Pasted it? Good. When the reply comes back, push once: ask it to sharpen the weakest part. — Did this prompt help?
The daily work16
Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
+Write a clear research report from my lab's latest cipher analysis, convert experiment logs and statistical…
Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
+Write a clear research report from my lab's latest cipher analysis, convert experiment logs and statistical results into a 6–8 page paper suitable for submission to Eurocrypt, draft a 10-minute talk and a one-page abstract for the conference key deadlines.
The tools that do the workLinuxO*NET
Pasted it? Good. When the reply comes back, push once: ask it to sharpen the weakest part. — Did this prompt help?
Assemble sets of assumptions, and explore the consequences of each set.
+List three distinct assumption sets for the protocol in our notebook, run the attack model under each set,…
Assemble sets of assumptions, and explore the consequences of each set.
+List three distinct assumption sets for the protocol in our notebook, run the attack model under each set, summarise how success probabilities and performance change in a single table and write a one-page note recommending which assumption set to adopt.
The tools that do the workC++O*NET
Pasted it? Good. When the reply comes back, push once: ask it to sharpen the weakest part. — Did this prompt help?
Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
+Formalise the protocol variables and constraints from our whiteboard, derive the symbolic relationships and…
Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
+Formalise the protocol variables and constraints from our whiteboard, derive the symbolic relationships and produce stepwise proofs for the main lemmas, then produce a short appendix with notation and worked examples.
The tools that do the workC#O*NET
Pasted it? Good. When the reply comes back, push once: ask it to sharpen the weakest part. — Did this prompt help?
Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.
+Design a new encryption scheme variant, produce security proofs against chosen-ciphertext attack, evaluate…
Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.
+Design a new encryption scheme variant, produce security proofs against chosen-ciphertext attack, evaluate computational cost and prepare a classified brief that lists recommended parameter sizes for field deployment.
The tools that do the workC++O*NET
Pasted it? Good. When the reply comes back, push once: ask it to sharpen the weakest part. — Did this prompt help?
Compile charts and graphs for data presentation
+Compile the experiment outputs into publication-grade charts: error rates by key size, throughput versus…
Compile charts and graphs for data presentation
+Compile the experiment outputs into publication-grade charts: error rates by key size, throughput versus latency, and a confidence-interval plot, label axes and captions, then export a one-sheet figure for the paper.
The tools that do the workIBM SPSS Statisticsjob descriptions
Pasted it? Good. When the reply comes back, push once: ask it to sharpen the weakest part. — Did this prompt help?
Identify problems through discussion with colleagues or clients
+Run a focused troubleshooting session with Rahul and Marta to surface where test vectors diverged, capture…
Identify problems through discussion with colleagues or clients
+Run a focused troubleshooting session with Rahul and Marta to surface where test vectors diverged, capture the hypotheses, reproduce the failure cases, and produce a one-page action plan with owners and due dates.
The tools that do the workLinuxjob descriptions
Pasted it? Good. When the reply comes back, push once: ask it to sharpen the weakest part. — Did this prompt help?
Develop methods like exhaustion for calculations
+Design and document exhaustion-style methods to bound key-search and attack costs, produce worked numerical…
Develop methods like exhaustion for calculations
+Design and document exhaustion-style methods to bound key-search and attack costs, produce worked numerical examples for 64-, 128-, and 256-bit spaces, and note assumptions and failure modes so engineers can implement safe time-memory tradeoffs by Friday.
The tools that do the workC++Wikipedia
Pasted it? Good. When the reply comes back, push once: ask it to sharpen the weakest part. — Did this prompt help?
Apply knowledge to engineering and scientific challenges
+Translate the cipher requirement into engineering constraints, produce a prioritized list of candidate…
Apply knowledge to engineering and scientific challenges
+Translate the cipher requirement into engineering constraints, produce a prioritized list of candidate primitives with security margins and performance estimates, and deliver a recommendation memo for the systems team before the architecture review.
The tools that do the workC++LinuxESCO
Pasted it? Good. When the reply comes back, push once: ask it to sharpen the weakest part. — Did this prompt help?
Conduct quantitative research
+Run a set of quantitative experiments measuring bias, avalanche effect, and key entropy across 10,000…
Conduct quantitative research
+Run a set of quantitative experiments measuring bias, avalanche effect, and key entropy across 10,000 samples, compile the statistical results with confidence intervals, and produce a short report that highlights any anomalous distributions for the research group.
Pasted it? Good. When the reply comes back, push once: ask it to sharpen the weakest part. — Did this prompt help?
Think analytically
+Work through the protocol step by step to identify implicit trust assumptions, write a short list of attack…
Think analytically
+Work through the protocol step by step to identify implicit trust assumptions, write a short list of attack scenarios ordered by plausibility, and recommend three concrete experiments to validate the most likely weaknesses by next Tuesday.
Pasted it? Good. When the reply comes back, push once: ask it to sharpen the weakest part. — Did this prompt help?
Collect data from statistical or experimental sources
+Pull the latest traffic, timing and entropy measurements from the sensor logs and the university experiment…
Collect data from statistical or experimental sources
+Pull the latest traffic, timing and entropy measurements from the sensor logs and the university experiment spreadsheets, clean timestamp mismatches, compute summary statistics by session and attacker model, then export a single CSV for analysis by Friday.
The tools that do the workLinuxjob descriptions
Pasted it? Good. When the reply comes back, push once: ask it to sharpen the weakest part. — Did this prompt help?
Design experiments and research projects
+Draft the experimental plan to test key exchange resilience: define threat models, sample sizes, randomness…
Design experiments and research projects
+Draft the experimental plan to test key exchange resilience: define threat models, sample sizes, randomness sources, success metrics, and a two-week lab schedule for runs with Alice/Bob simulators, then send it to Maria and the lab manager for approval.
The tools that do the workIBM SPSS Statisticsjob descriptions
Pasted it? Good. When the reply comes back, push once: ask it to sharpen the weakest part. — Did this prompt help?
Analyze results to provide insights in various fields
+Take the latest cipher benchmark CSVs, run statistical tests comparing fallback versus hardened modes,…
Analyze results to provide insights in various fields
+Take the latest cipher benchmark CSVs, run statistical tests comparing fallback versus hardened modes, produce effect sizes and confidence intervals, and write a one-page brief stating which modes materially reduce leakage for the security team.
The tools that do the workIBM SPSS Statisticsjob descriptions
Pasted it? Good. When the reply comes back, push once: ask it to sharpen the weakest part. — Did this prompt help?
Derive corollaries from theorems
+Starting from the new theorem on lattice hardness, derive three nontrivial corollaries with proofs, highlight…
Derive corollaries from theorems
+Starting from the new theorem on lattice hardness, derive three nontrivial corollaries with proofs, highlight assumptions that affect parameter choices, and prepare the document to circulate to Alan and the theory group on Monday.
The tools that do the workC++Wikipedia
Pasted it? Good. When the reply comes back, push once: ask it to sharpen the weakest part. — Did this prompt help?
Calculate areas, volumes, and surface areas of shapes
+Compute areas, volumes and surface areas for the protocol geometry models used in the side-channel paper,…
Calculate areas, volumes, and surface areas of shapes
+Compute areas, volumes and surface areas for the protocol geometry models used in the side-channel paper, list formulas, compute numeric values for dimensions in the lab notes, and attach the results to the manuscript before the internal review.
The tools that do the workC++Wikipedia
Pasted it? Good. When the reply comes back, push once: ask it to sharpen the weakest part. — Did this prompt help?
Approximate mathematical constants such as π
+Approximate pi to the precision needed for our Monte Carlo entropy estimates, run multiple algorithms to…
Approximate mathematical constants such as π
+Approximate pi to the precision needed for our Monte Carlo entropy estimates, run multiple algorithms to cross-check convergence, record runtime and error bounds, and save the verified value with provenance to the research repo.
The tools that do the workBashC++Wikipedia
Pasted it? Good. When the reply comes back, push once: ask it to sharpen the weakest part. — Did this prompt help?
Says who?
These are the pages we read to build this. Open any of them and check us.
Activities this job lives in
The human activities behind the tasks — each with its honest AI ceiling.
The logs, files & records this job keeps
Shared with other careers — the same record means something different in each.
Related careers
Same family of work — each with its own tasks and prompts.
The LLOS Work Atlas is the world's largest evidenced task library — a map of human work, with a ready prompt behind every task. 1,774 careers · every task named by the sources that witnessed it — O*NET, ESCO, real job descriptions, Wikipedia — and the deepest tasks by several at once. And it is honest about limits: where AI cannot help, the map says so.
The rest of the map
Same library, five ways in.
Copyright © LLOS.ai · 2026 — original pedagogy, voice, and design — all rights reserved.
Built on public evidence: O*NET®, ESCO, Wikipedia, U.S. Bureau of Labor Statistics, ILOSTAT. All sources & licenses
Built on public evidence: O*NET®, ESCO, Wikipedia, U.S. Bureau of Labor Statistics, ILOSTAT. All sources & licenses