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Browsing Theses - Dept. of Mathematics by Title

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Browsing Theses - Dept. of Mathematics by Title

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  • Henriques, André Gil (Massachusetts Institute of Technology, 2005)
    In this thesis, I introduce a new definition for orbispaces based a notion of stratified fibration and prove it's equivalence with other existing definitions. I study the notion of orbispace structures on a given stratified ...
  • Pietraho, Thomas, 1973- (Massachusetts Institute of Technology, 2001)
    Let G be a complex semi-simple and classical Lie group. The notion of a Lagrangian covering can be used to extend the method of polarizing a nilpotent coadjoint orbit to obtain a unitary representation of G. W. Graham and ...
  • Sutherland, Andrew V (Massachusetts Institute of Technology, 2007)
    We consider the problem of computing the order of an element in a generic group. The two standard algorithms, Pollard's rho method and Shanks' baby-steps giant-steps technique, both use [theta](N^1/2) group operations to ...
  • Feiner, Lawrence, 1942- (Massachusetts Institute of Technology, 1967)
  • Pissarra Pires, Ana Rita (Massachusetts Institute of Technology, 2010)
    An origami manifold is a manifold equipped with a closed 2-form which is symplectic everywhere except on a hypersurface, where it is a folded form whose kernel defines a circle fibration. In this thesis I explain how an ...
  • Davis, Christopher (Christopher James) (Massachusetts Institute of Technology, 2009)
    We define the overconvergent de Rham-Witt complex ... for a smooth affine variety over a perfect field in characteristic p. We show that, after tensoring with Q, its cohomology agrees with Monsky-Washnitzer cohomology. If ...
  • Malon, Christopher D (Massachusetts Institute of Technology, 2005)
    Let k be a p-adic field. Split reductive groups over k can be described up to k- isomorphism by a based root datum alone, but other groups, called rational forms of the split group, involve an action of the Galois group ...
  • Kassaei, Payman L., 1973- (Massachusetts Institute of Technology, 1999)
  • Pang, Huadong (Massachusetts Institute of Technology, 2007)
    In this thesis, we consider several parabolic equations for which the minimum principle fails. We first consider a two-point boundary value problem for a one dimensional diffusion equation. We show the uniqueness and ...
  • Boger, D. (Dorin) (Massachusetts Institute of Technology, 2016)
    Let G be a reductive group over a field k = k. Let P be a parabolic subgroup. We construct a functor Groupoid ... is a connected space, which induces an action of generalizing a classical result. It is also a part of a ...
  • Poritz, Alan Bram (Massachusetts Institute of Technology, 1965)
  • Smoliar, Stephen W (Massachusetts Institute of Technology, 1971)
  • Boulet, Cilanne Emily (Massachusetts Institute of Technology, 2005)
    In this thesis, we present bijections proving partitions identities. In the first part, we generalize Dyson's definition of rank to partitions with successive Durfee squares. We then present two symmetries for this new ...
  • Blair, Alan David, 1967- (Massachusetts Institute of Technology, 1994)
  • Lewis, Joel Brewster (Massachusetts Institute of Technology, 2012)
    We consider a variety of questions related to pattern avoidance in alternating permutations and generalizations thereof. We give bijective enumerations of alternating permutations avoiding patterns of length 3 and 4, of ...
  • Spiridonov, Alexey (Massachusetts Institute of Technology, 2009)
    A grid shape is a set of boxes chosen from a square grid; any Young diagram is an example. We consider a notion of pattern-avoidance for 0-1 fillings of grid shapes, which generalizes permutation pattern-avoidance. A filling ...
  • Steingrímsson, Einar (Massachusetts Institute of Technology, 1992)
  • West, Julian, 1964- (Massachusetts Institute of Technology, 1990)
  • Freeman, John Markham (Massachusetts Institute of Technology, 1963)
  • Chow, Chee-Seng (Massachusetts Institute of Technology, 1985)
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