📐 Careers if you like: maths and data

47 careers for people interested in maths and data: prospects, pay, AI risk and where to study.

• 🤖 Machine Learning EngineerTrains and deploys machine learning models: recommendations, recognition, forecasts, language models. Takes a model from experiment to production. Prospects · Pay · AI resistance
• 🤖 Health data scientist / medical AI engineerTrains models to detect disease on scans and predict risk from patient records, and analyses data from hospitals and clinical trials. Prospects · Pay · AI resistance
• 🕵️ Fraud AnalystCatches fraudsters at a bank, marketplace or telecom: tunes rules and models, investigates suspicious transactions, uncovers schemes and money mules. Prospects · Pay · AI resistance
• 👁️ Computer Vision EngineerTeaches computers to understand images and video: recognising faces, factory defects, tumours on scans, and traffic for self-driving cars. Prospects · Pay · AI resistance
• 🧬 Fintech Engineer / Quant DeveloperBuilds financial products where money meets code: payment services, credit scoring, digital currencies, pricing and trading algorithms. Prospects · Pay · AI resistance
• 🧮 Systems ProgrammerWrites what everything else runs on: operating systems, compilers, drivers, database engines. Every extra nanosecond and byte counts. Prospects · Pay · AI resistance
• 🌉 Bridge EngineerDesigns and builds bridges, overpasses and tunnels: spans, piers, loads from trains and wind, and site supervision. Prospects · Pay · AI resistance
• 🌬️ AerodynamicistWorks out how air flows around an aircraft, rocket or race car: runs flow simulations on supercomputers and tests models in wind tunnels. Prospects · Pay · AI resistance
• 🕹️ Graphics / Game Engine ProgrammerWrites the engine that draws a game: lighting, shadows, shaders, physics and optimisation for low-end phones, so it looks great and runs at 60 fps. Prospects · Pay · AI resistance
• 🧮 High-Performance Computing (HPC) EngineerRuns massive computations on supercomputers and GPU clusters: climate, proteins, neural network training. Parallelises code so it takes days, not years. Prospects · Pay · AI resistance
• ♟️ Operations Research AnalystBuilds maths models of decisions: where to put warehouses, how to timetable trains, how to price an auction or win a negotiation. Prospects · Pay · AI resistance
• ☀️ Plasma Physicist (Fusion Energy)Tries to build a star on Earth: designs and runs tokamaks, holds 100-million-degree plasma in place with magnetic fields and calculates its instabilities. Prospects · Pay · AI resistance
• 📐 Maths, Physics or Computing TeacherExplains formulas, problems and the laws of nature to teenagers, prepares them for GCSE/A-level or AP exams, runs clubs and coaches olympiad students. Prospects · Pay · AI resistance
• 🛡️ Risk ManagerWorks out how much a bank or company could lose: bad loans, currency swings, sanctions, fraud. Sets limits and emergency brakes. Prospects · Pay · AI resistance
• 🧮 CAE / Stress Analysis EngineerChecks on a computer whether a design will hold: strength, vibration, heat, airflow. Simulates so that real hardware doesn't break in testing. Prospects · Pay · AI resistance
• 📊 Data ScientistFinds patterns in large datasets and builds models: which customers will leave, what price to set, where fraud is. Answers business questions with numbers. Prospects · Pay · AI resistance
• 🏷️ Pricing ManagerDecides what a product or service should cost: studies competitors and demand, runs discount experiments and builds models so revenue grows without losing customers. Prospects · Pay · AI resistance
• 📊 BiostatisticianDesigns clinical trials and works out whether a drug works: sample size, randomisation, statistical models and conclusions for regulators. Prospects · Pay · AI resistance
• 🎯 Guidance, Navigation & Control (GNC) EngineerBuilds the 'brain' of rockets, satellites and aircraft: navigation, stabilisation, trajectories. Turns mathematics into a precise arrival in orbit. Prospects · Pay · AI resistance
• 🌡️ Climate ScientistStudies how the climate is changing: runs models on supercomputers, analyses ice cores and centuries of data, and assesses risks of drought, wildfire and permafrost thaw. Prospects · Pay · AI resistance
• 🏗️ Civil / Structural EngineerDesigns building structures: foundations, frames and loads. Works in design or runs construction and signs off documents. Prospects · Pay · AI resistance
• 🎯 Flight Dynamics Engineer (Orbital Mechanics)Calculates the paths of rockets and satellites: how to reach orbit, when to fire the engine, how to dock with a station or swing around the Moon. Prospects · Pay · AI resistance
• 📊 Sports Data AnalystBreaks down matches and training with numbers: player tracking, xG, workload, video. Prepares reports for coaches on whom to sign and how to play opponents. Prospects · Pay · AI resistance
• ⚛️ Quantum Computing EngineerWrites algorithms for quantum computers and helps build the machines: simulates molecules, looks for problems where a quantum computer beats a classical one. Prospects · Pay · AI resistance
• ⛏️ Mine SurveyorA surveyor who works underground: measures mines and quarries, builds 3D models of the workings, makes sure tunnels meet and rock doesn't collapse. Prospects · Pay · AI resistance
• ⚛️ Particle PhysicistHunts for new particles and laws of nature at accelerators: builds detectors, writes code to analyse billions of collisions, works in huge international teams. Prospects · Pay · AI resistance
• 🔭 Astrophysicist / AstronomerStudies stars, galaxies, black holes and exoplanets: observes on telescopes, processes huge datasets and builds models of the Universe. Prospects · Pay · AI resistance
• ⚛️ Theoretical PhysicistDerives the laws of nature with pen and computer: quantum matter, particles, gravity. Builds models and predicts what experiments will test later. Prospects · Pay · AI resistance
• 📈 Portfolio ManagerManages money for a pension fund, insurer or bank clients: decides which stocks and bonds to put billions into and answers for return and risk. Prospects · Pay · AI resistance
• 🧭 Management ConsultantComes into another company, gets to grips with a problem in weeks and proposes a fix: strategy, processes, cost cutting. Lots of analysis and presentations. Prospects · Pay · AI resistance
• 🧮 ActuaryThe mathematician of insurance and pensions: calculates the odds of illness, accidents and life expectancy to set policy prices and the company's reserves. Prospects · Pay · AI resistance
• 🔎 Product AnalystStudies how users behave in an app: funnels, retention, the impact of new features. Tells the product manager what works and what doesn’t. Prospects · Pay · AI resistance
• 📊 Game Data AnalystMeasures how people play: where they quit, what they buy, which level is too hard. Runs A/B tests and tells the team what to change. Prospects · Pay · AI resistance
• 🧾 Government Policy AnalystAssesses how government programmes and laws work: gathers statistics, evaluates the impact of policies and writes analytical briefs for leadership. Prospects · Pay · AI resistance
• 📈 SeismologistDecodes ground motion from seismic stations: locates earthquake sources, assesses tsunami threats and how well regions can withstand quakes. Prospects · Pay · AI resistance
• 📐 Land SurveyorMeasures land and buildings: sets out grid lines on site, maps terrain with total stations, GPS and drones, and produces topographic surveys. Prospects · Pay · AI resistance
• 🗺️ Data JournalistFinds stories in numbers: gathers open data, cleans it, builds charts and interactive maps to show what's really going on in the country. Prospects · Pay · AI resistance
• 📊 StatisticianDesigns samples and surveys, tests hypotheses, works out whether a drug or an ad campaign really works, and says honestly when the data is too thin. Prospects · Pay · AI resistance
• 👶 DemographerCounts populations: births, deaths, migration and ageing. Builds forecasts used to plan schools, pensions and hospitals and evaluates family policy. Prospects · Pay · AI resistance
• 🎓 Research EconomistStudies how the economy works: inflation, labour markets, poverty, trade. Builds data-driven models and writes reports for central banks, governments and academia. Prospects · Pay · AI resistance
• 📐 Research MathematicianProves theorems and creates new branches of mathematics: thinks about one problem for weeks, discusses ideas at seminars, writes papers and teaches students. Prospects · Pay · AI resistance
• 📈 Performance Marketer / Marketing AnalystBuys online advertising and tracks every penny: sets up campaigns, tests creatives, builds funnels and end-to-end analytics. Prospects · Pay · AI resistance
• 📊 Financial AnalystBuilds financial models, works out whether a project will pay off, values companies and budgets. Prepares conclusions for management and investors. Prospects · Pay · AI resistance
• 📈 Data AnalystCollects data, builds reports and dashboards, checks hypotheses and A/B tests. Explains to the team what is really happening with the product or business. Prospects · Pay · AI resistance
• 💹 TraderBuys and sells shares, bonds, currencies and commodities with a bank's or fund's money, trying to profit from price moves. Split-second decisions, real money. Prospects · Pay · AI resistance
• 🧮 Quantity Surveyor / Cost EstimatorCalculates the cost of construction: quantities, materials, rates, estimates for tenders and audits. Works with software and standards. Prospects · Pay · AI resistance
• 📊 BI DeveloperBuilds dashboards and data marts for managers: sales, stock and finance on one screen. Writes SQL and makes sure the numbers match reality. Prospects · Pay · AI resistance

Scales are expert estimates; tuition and admission rules are for 2026/27 from official sources — always check the university website.