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Browsing Department of Mathematics by Title

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  • Eu, Ching-Hwa (Massachusetts Institute of Technology, 2008)
    Preprojective algebras [Pi]q of quivers Q were introduced by Gelfand and Ponomarev in 1979 in order to provide a model for quiver representations (in the special case of finite Dynkin quivers). They showed that in the ...
  • Mazzeo, Rafe Roys (Massachusetts Institute of Technology, 1986)
  • Sheridan, Nicholas (Nicholas James) (Massachusetts Institute of Technology, 2012)
    This thesis is concerned with Kontsevich's Homological Mirror Symmetry conjecture. In Chapter 1, which is based on [1], we consider the n-dimensional pair of pants, which is defined to be the complement of n + 2 generic ...
  • Rehmeyer, Julie (Massachusetts Institute of Technology, 1997)
  • Beke, Tibor, 1970- (Massachusetts Institute of Technology, 1998)
  • Hollander, Sharon Joy, 1975- (Massachusetts Institute of Technology, 2001)
    We give a homotopy theoretic characterization of stacks on a site C which allows one to think of stacks as the homotopy sheaves of groupoids on C. We use this characterization to construct a model category, that is a formal ...
  • Biss, Daniel Kálmán, 1977- (Massachusetts Institute of Technology, 2002)
    In this thesis, I establish a homotopy equivalence between the matroid Grassmannian [parallel] MacP(k, n) [parallel] and the real Grassmannian G(k, n) of k-planes in [Real set]n. This is accomplished by finding a Schubert ...
  • He, Hongyu L. (Hongyu Livingstone), 1972- (Massachusetts Institute of Technology, 1998)
  • Hu, David L., 1979- (Massachusetts Institute of Technology, 2006)
    We present a combined experimental and theoretical investigation of the numerous hydrodynamic propulsion mechanisms employed by water-walking arthropods (insects and spiders). In our experimental study, high speed ...
  • Kamenova, Ljudmila K (Massachusetts Institute of Technology, 2006)
    In this thesis, I consider hyper-Kähler manifolds of complex dimension 4 which are fibrations. It is known that the fibers are abelian varieties and the base is P2. We assume that the general fiber is isomorphic to a product ...
  • Shirokoff, David (David George) (Massachusetts Institute of Technology, 2011)
    In this thesis, we address two problems involving partial differential equations. In the first problem, we reformulate the incompressible Navier-Stokes equations into an equivalent pressure Poisson system. The new system ...
  • Christensen, J. Daniel (John Daniel) (Massachusetts Institute of Technology, 1997)
  • Van Tilburg, Ken (Massachusetts Institute of Technology, 2011)
    In this thesis, I explore aspects of a new jet shape - N-subjettiness - designed to identify boosted hadronically-decaying objects (with a particular focus on tagging top quarks) at particle accelerators such as the Large ...
  • Kelly, Edmund Francis Aloysius (Massachusetts Institute of Technology, 1970)
  • Goddard, Christina M. (Christina Margaret) (Massachusetts Institute of Technology, 2006)
    In this thesis, we effectively construct a predecessor function for the type definitions in the raw hierarchy for any weakly-scattered theory. Using this predecessor function, we improve a recent bounding result by Sacks ...
  • Knee, David I (Massachusetts Institute of Technology, 1962)
  • Kottke, Christopher N. (Christopher Nicholas) (Massachusetts Institute of Technology, 2010)
    In this thesis, I investigate the index of Callias type operators on asymptotically conic manifolds (also known as asymptotically locally Euclidean manifolds or scattering manifolds) and give an application to the moduli ...
  • Kilic, Mustafa Sabri (Massachusetts Institute of Technology, 2008)
    The classical transport theory cannot explain the experimental behavior of electrochemical systems in the extreme operating conditions required by modern microfluidics devices. Some experimental puzzles include strange ...
  • Squires, Todd M.; Bazant, Martin Z. (Cambridge University Press, 2004)
    We describe the general phenomenon of ‘induced-charge electro-osmosis’ (ICEO) – the nonlinear electro-osmotic slip that occurs when an applied field acts on the ionic charge it induces around a polarizable surface. ...
  • Osorno, Angélica María (Massachusetts Institute of Technology, 2010)
    In recent work of Baas-Dundas-Richter-Rognes, the authors introduce the notion of the K- theory of a bimonoidal category R, and show that it is equivalent to the algebraic K-theory space of the ring spectrum KR. In this ...
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