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Members of the Geometry Group carry out research on topics within the following areas: algebraic geometry, cohomology theories, differential geometry, geometric analysis, homogeneous space, Lie groups, mirror symmetry, symplectic geometry and low-dimensional topology.

It interacts with other research groups in the Department, including Analysis (via index theory), Financial Mathematics (formulation of SDEs), Number Theory (arithmetic geometry) and Theoretical Physics (special metrics in string theory).