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Theses - Dept. of Mathematics

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Theses - Dept. of Mathematics

Recent Submissions

  • Belmont, Eva Kinoshita (Massachusetts Institute of Technology, 2018)
    Chromatic localization can be seen as a way to calculate a particular infinite piece of the homotopy of a spectrum. For example, the (finite) chromatic localization of a p-local sphere is its rationalization, and the ...
  • Bell, Renee Hyunjeong (Massachusetts Institute of Technology, 2018)
    Given a Galois cover of curves X --> Y with Galois group G which is totally ramified at a point x and unramified elsewhere, restriction to the punctured formal neighborhood of x induces a Galois extension of Laurent series ...
  • Forrow, Aden (Massachusetts Institute of Technology, 2018)
    Coherent, large scale dynamics in many nonequilibrium physical, biological, or information transport networks are driven by small-scale local energy input. In the first part of this thesis, we introduce and explore two ...
  • Hesterberg, Adam Classen (Massachusetts Institute of Technology, 2018)
    Closed quasigeodesics. A closed quasigeodesic on the surface of a polyhedron is a loop which can everywhere locally be unfolded to a straight line: thus, it's straight on faces, uniquely determined on edges, and has as ...
  • Lonergan, Gus (Gus C.) (Massachusetts Institute of Technology, 2018)
    The theme of this thesis is the novel application of techniques of algebraic topology (specifically, Steenrod's operations and Smith's localization theory) to representation theory (especially in the context of the geometric ...
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