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Deformations and gluing of asymptotically cylindrical manifolds with exceptional holonomy
(University of CambridgeDepartment of Pure Mathematics and Mathematical Statistics, 2008-10-14)
In Berger's classification of Riemannian holonomy groups
there are several infinite families and two exceptional cases:
the groups Spin(7) and G_2.
This thesis is mainly concerned with 7-dimensional manifolds
with ...
Arithmetic structure in sets of integers
(University of Cambridge, 2008-05-20)
This dissertation deals with four problems concerning arithmetic structures in dense
sets of integers. In Chapter 1 we give an exposition of the state-of-the-art technique
due to Pintz, Steiger and Szemer edi which yields ...