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Recent Submissions

  • $\textit{K}$-Theory of Fermat Curves 

    Cain, Christopher (Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 2017-01-10)
    I investigate the $K_2$ groups of the quotients of Fermat curves given in projective coordinates by the equation $F_n:X^n+Y^n=Z^n$. On any quotient where the number of known elements is equal to the rank predicted by ...
  • 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 ...

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