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All fields
20 fields · each connected by shared mathematics
Engineering & CS
Machine learning
Statistical learning algorithms that improve through experience. Bridges probability theory, line...
Signal processing
Analysis, transformation, and synthesis of signals. The Fourier transform is its central tool.
Ops research
Mathematical optimisation of complex systems and decision processes. Includes linear programming,...
Cryptography
Mathematical techniques for securing information. Draws on number theory, abstract algebra, and c...
Robotics
Algorithms for perception, planning, and control of physical agents. Connects probability, linear...
Finance & economics
Quant finance
Mathematical models for pricing derivatives, managing risk, and constructing portfolios. Built on...
Econometrics
Statistical methods applied to economic data to test theories and estimate causal relationships.
Actuarial science
Mathematical assessment of financial risk in insurance and pension. Combines probability theory, ...
Life sciences
Biostatistics
Application of statistical methods to biological and medical data. Drives clinical trial design, ...
Bioinformatics
Computational methods for analysing biological sequence data, gene expression, and molecular stru...
Quant ecology
Mathematical models of ecological dynamics, from population growth to food webs and ecosystem sta...
Quant genetics
Statistical genetics connecting genotype to phenotype. Underpins GWAS, heritability estimation, a...
Physical sciences
Quantum computing
Computation exploiting quantum-mechanical phenomena such as superposition and entanglement.
Astrophysics
Physics of celestial objects and the universe at large scales. Spans from stellar structure to co...
Comp. chemistry
Computational methods for solving the electronic structure problem. Density functional theory and...
Earth sciences
Climate modeling
Mathematical models of the Earth's climate system. Relies on PDEs, fluid dynamics, and statistica...
Meteorology
Mathematical description of atmospheric dynamics. Combines fluid mechanics, thermodynamics, and n...
Geophysics
Physics of the Earth's interior and surface processes. Seismology, gravity, and geomagnetism rest...