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Browsing Theses - Mathematics by Title
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(Massachusetts Institute of Technology, 1993)
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(Massachusetts Institute of Technology, 2005)In this thesis, we derive the asymptotic expansion of the Kiihler-Einstein metrics on certain quasi-projective varieties, which can be compactified by adding a divisor with simple normal crossings. The weighted Cheng-Yau ...
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(Massachusetts Institute of Technology, 2000)
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(Massachusetts Institute of Technology, 2011)We present two recent parallel programming languages, PetaBricks and Julia, and demonstrate how we can use these two languages to re-examine classic numerical algorithms in new approaches for high-performance computing. ...
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(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 ...
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(Massachusetts Institute of Technology, 1986)
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(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 ...
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(Massachusetts Institute of Technology, 1997)
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(Massachusetts Institute of Technology, 1998)
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(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 ...
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(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 ...
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(Massachusetts Institute of Technology, 1998)
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(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 ...
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(Massachusetts Institute of Technology, 1976)
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(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 ...
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(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 ...
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(Massachusetts Institute of Technology, 1997)
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(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 ...
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(Massachusetts Institute of Technology, 1970)
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(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 ...
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