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Solar plasma physics, linear and nonlinear waves
Non-commutative ring theory, D-modules, automorphisms
Cohomology of arithmetic groups, automorphic forms, Galois representations, Bloch-Kato conjecture
Mathematical biology; Evolutionary dynamics; Population dynamics
Bayesian statistics; inference for random processes; statistical ecology; environmental and archaeological applications
Algebraic geometry and mirror symmetry
Applications of Bayesian statistics to archaeology, palaeo-environmental science and scientific dating methods
Homotopy theory, category theory
General relativity, black hole physics and gravitational wave astronomy.
Number theory, arithmetic geometry, automorphic forms
Mathematical biology, morphogenesis, tissue dynamics
Solar physics, Helioseismology, Astrophysical MHD
Algebraic number theory, Galois representations
Algebraic Geometry, Combinatorics
Bayesian hierarchical models, panel and longitudinal data, SR imagining, augmented clinical trials
Fluid dynamics. Fluid flow optimization. Turbulence. Wind energy
Algebraic number theory, the absolute Galois group of Q
Algebraic topology, set theory
C∗-categories, Analytic and algebraic K-theory, Assembly maps, Coarse Geometry
Algebraic and differential topology, category theory
Turbulent diffusion
Mathematical biology; regulatory networks; pattern formation.
Bayesian statistics; eliciting probability distributions; health economics; uncertainty quantification for complex computer models
Mathematical ecology; Animal movement; Spatial population dynamics; Biological invasions
Earth's carbon balance, ecosystem modelling, forest observations from space
Microfluidics, Microbubble technology, Engineering fluid dynamics, Stratified flows
Low dimensional topology, Dehn surgery, knot theory
Analysis, Inverse Problems, Statistical Signal Estimation
Hydrodynamics and magnetohydrodynamics. Waves and instablities. Applications to solar and space physics.
Algebraic number theory, automorphic forms, Galois representations
Algebraic Geometry
Application of statistics to geology and materials science
Algebraic topology, formal group theory
Cosmology
Mathematical modelling of plasma processes, e.g., with application to the Sun's atmosphere.
Solar, space and plasma physics, MHD waves, linear and non-linear waves
Genetic epidemiology and statistical genetics
Algebraic topology
Quantum topology, algebraic topology, category theory, metric spaces
Black holes, general relativity, quantum field theory in curved space-time
