Now showing items 652-671 of 824

    • Scissors congruence and K-theory 

      Zakharevich, Inna (Inna Ilana) (Massachusetts Institute of Technology, 2012)
      In this thesis we develop a version of classical scissors congruence theory from the perspective of algebraic K-theory. Classically, two polytopes in a manifold X are defined to be scissors congruent if they can be decomposed ...
    • Sculpting representations for deep learning 

      Rippel, Oren (Massachusetts Institute of Technology, 2016)
      In machine learning, the choice of space in which to represent our data is of vital importance to their effective and efficient analysis. In this thesis, we develop approaches to address a number of problems in representation ...
    • Secondary instability in Ekman boundary flow by David B. Zaff. 

      Zaff, David Benjamin (Massachusetts Institute of Technology, 1987)
    • Secure multi-party protocols under a modern lens 

      Boyle, Elette Chantae (Massachusetts Institute of Technology, 2013)
      A secure multi-party computation (MPC) protocol for computing a function f allows a group of parties to jointly evaluate f over their private inputs, such that a computationally bounded adversary who corrupts a subset of ...
    • Sedimentation in a stratified ambient 

      Blanchette, François Alain, 1978- (Massachusetts Institute of Technology, 2003)
      We study the interaction between settling particles and a stratified ambient in a variety of contexts. We first study the generation of large scale fluid motions by the localised release of a finite mass of particles in ...
    • The Seiberg-Witten equations on a surface times a circle 

      Lopes, William Manuel (Massachusetts Institute of Technology, 2010)
      In this thesis I study the Seiberg-Witten equations on the product of a genus g surface [Sigma] and a circle. I exploit S1 invariance to reduce to the vortex equations on [Sigma] and thus completely describe the Seiberg-Witten ...
    • The Seiberg-Witten equations on manifolds with boundary 

      Nguyen, Timothy (Timothy Chieu) (Massachusetts Institute of Technology, 2011)
      In this thesis, we undertake an in-depth study of the Seiberg-Witten equations on manifolds with boundary. We divide our study into three parts. In Part One, we study the Seiberg-Witten equations on a compact 3-manifold ...
    • Self maps of quaternionic projective spaces 

      Granja, Gustavo, 1971- (Massachusetts Institute of Technology, 1997)
    • Self-shrinkers and translating solitons of mean curvature flow 

      Guang, Qiang, Ph. D. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2016)
      We study singularity models of mean curvature flow ("MCF") and their generalizations. In the first part, we focus on rigidity and curvature estimates for self-shrinkers. We give a rigidity theorem proving that any self-shrinker ...
    • Self-shrinkers of mean curvature flow and harmonic map heat flow with rough boundary data 

      Wang, Lu, Ph. D. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2011)
      In this thesis, first, joint with Longzhi Lin, we establish estimates for the harmonic map heat flow from the unit circle into a closed manifold, and use it to construct sweepouts with the following good property: each ...
    • Self-similar solutions to the mean curvature flow in Euclidean and Minkowski space 

      Halldórsson, Höskuldur Pétur (Massachusetts Institute of Technology, 2013)
      In the first part of this thesis, we give a classification of all self-similar solutions to the curve shortening flow in the Euclidean plane R² and discuss basic properties of the curves. The problem of finding the curves ...
    • Selmer groups as flat cohomology groups 

      Česnavičius, Kęstutis (Massachusetts Institute of Technology, 2014)
      Given a prime number p, Bloch and Kato showed how the p Selmer group of an abelian variety A over a number field K is determined by the p-adic Tate module. In general, the pm1-Selmer group Selpmn A need not be determined ...
    • Semi-algebraic graphs and hypergraphs in incidence geometry 

      Do, Thao Thi Thu. (Massachusetts Institute of Technology, 2019)
      A (hyper)graph is semi-algebraic if its vertices are points in some Euclidean spaces and the (hyper)edge relation is defined by a finite set of polynomial inequalities. Semi-algebraic (hyper)graphs have been studied ...
    • A semi-infinite cycle construction of Floer homology 

      Lipyanskiy, Maksim (Massachusetts Institute of Technology, 2008)
      This dissertation is concerned with the foundations of a new approach to Floer theory. As opposed to the traditional approach, which can be viewed as a generalization of Morse theory to an infinite dimensional setting, our ...
    • Semi-primary lattices and tableau algorithms 

      Tesler, Glenn Paul (Massachusetts Institute of Technology, 1995)
    • Separable stackel systems 

      Murchison, Clinton Williams, 1895-1969 (Massachusetts Institute of Technology, 1947)
    • Separation of Laplace's equation 

      Redheffer, Raymond M (Massachusetts Institute of Technology, 1948)
    • The Severi problem for rational curves on del Pezzo surfaces 

      Testa, Damiano (Massachusetts Institute of Technology, 2005)
      Let X be a smooth projective surface and choose a curve C on X. Let VC be the set of all irreducible divisors on X linearly equivalent to C whose normalization is a rational curve. The Severi problem for rational curves ...
    • Shock formation and star formation in galactic spirals, 

      Roberts, William Woodruff (Massachusetts Institute of Technology, 1969)
    • Shortest paths, Markov chains, matrix scaling and beyond : improved algorithms through the lens of continuous optimization 

      Vladu, Adrian Valentin (Massachusetts Institute of Technology, 2017)
      In this thesis, we build connections between classic methods from convex optimization and the modern toolkit from the fast Laplacian solver literature, in order to make progress on a number of fundamental algorithmic ...