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Recent Submissions

  • Computations in monotone Floer theory 

    Tonkonog, Dmitry (Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 2016-06-28)
    Floer theory is a rich collection of tools for studying symplectic manifolds and their Lagrangian submanifolds with the help of holomorphic curves. Its origins lie in estimating the numbers of equilibria in Hamiltonian ...
  • Spectral methods and computational trade-offs in high-dimensional statistical inference 

    Wang, Tengyao (Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 2016-10-04)
    Spectral methods have become increasingly popular in designing fast algorithms for modern highdimensional datasets. This thesis looks at several problems in which spectral methods play a central role. In some cases, we ...
  • Categories of spaces built from local models 

    Low, Zhen Lin (2016-06-28)
    Many of the classes of objects studied in geometry are defined by first choosing a class of nice spaces and then allowing oneself to glue these local models together to construct more general spaces. The most well-known ...
  • Deformations of Cayley submanifolds 

    Ohst, Matthias (2016-03-01)
    Cayley submanifolds of R^8 were introduced by Harvey and Lawson as an instance of calibrated submanifolds, extending the volume-minimising properties of complex submanifolds in Kähler manifolds. More generally, Cayley ...

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