Algebra and number theory, arithmetic of automorphic forms and Galois representations.
Fourier analysis, oscillatory integrals, singular integrals, Hardy spaces
Chaotic properties of dynamical systems. Math and Science Education. Linking Mathematics Education to issues of Sustainability.
Applied mathematics, mathematical biology, mathematical physiology
Low-dimensional Manifolds and Quantum Topology
Global Analysis, Automorphic Forms, Analytic Number Theory, and Spectral Theory
Symplectic topology, differential geometry and topology
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