Algebraic Geometry
The study of geometric spaces defined by polynomial equations using tools that connect shape, algebra and arithmetic.
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Stochastic Differential Equations
Differential equations that combine deterministic evolution with random forcing to represent systems influenced by continuous uncertainty.
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Topological Data Analysis
Methods that quantify connected components, loops and higher-dimensional voids in data across a range of spatial scales.
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Optimal Transport
A mathematical framework for transforming one distribution into another while minimising a defined movement cost.
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Chaos Theory
The study of deterministic nonlinear systems whose trajectories can become unpredictable through sensitive dependence on initial conditions.
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Homomorphic Encryption
Cryptographic methods that permit selected computations on encrypted data without first revealing the plaintext.
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Bayesian Inference
A framework for updating probability distributions over unknown quantities when new evidence is observed.
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Prime Numbers
Positive integers greater than one whose only positive divisors are one and themselves.
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