Browsing Mathematics - Ph.D. / Sc.D. by Title
Now showing items 358-377 of 785
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Localization genus of classifying spaces
(Massachusetts Institute of Technology, 2002)We show that for a large class of torsionfree classifying spaces, K-theory filtered ring is an invariant of the genus. We apply this result in two ways. First, we use it to show that the powerseries ring on n indeterminates ... -
Log geometry and extremal contractions
(Massachusetts Institute of Technology, 2015)The Minimal Model Program (in short, MMP) aims at classifying projective algebraic varieties from a birational point of view. That means that starting from a projective algebraic variety X, [Delta] it is allowed to change ... -
A look-ahead variant of the Lanczos algorithm and its application to the quasi-minimal residual method for non-Hermitian linear systems
(Massachusetts Institute of Technology, 1991) -
Maps and localizations in the category of Segal spaces
(Massachusetts Institute of Technology, 2005)The category of Segal spaces was proposed by Charles Rezk in 2000 as a suitable candidate for a model category for homotopy theories. We show that Quillen functors induce morphisms in this category and that the morphisms ... -
Mathematical methods for protein structural motif recognition
(Massachusetts Institute of Technology, 2001)In this thesis, two algorithms for protein structural motif recognition are presented. A program is described which successfully recognizes the occurrence of the right-handed parallel 8-helix fold from protein sequence ... -
A mathematical model of an electromechanically coupled poroelastic medium
(Massachusetts Institute of Technology, 1987) -
Mathematical modeling of lithium-ion intercalation particles and their electrochemical dynamics
(Massachusetts Institute of Technology, 2015)Lithium-ion battery is a family of rechargeable batteries with increasing importance that is closely related to everyone's daily life. However, despite its enormously wide applications in numerous areas, the mechanism of ... -
Mathematical modeling of shock induced martensitic phase transitions
(Massachusetts Institute of Technology, 2001)Recently Bruno and Vaynblat introduced a new mathematical model to describe shock induced martensitic phase transitions. This model is much simpler than prior ones -- requiring, essentially, no quantities that cannot be ... -
Mathematical theory of lubrication-type flow
(Massachusetts Institute of Technology, 1947) -
Matings of negatively correlated trees with applications to Schnyder woods and bipolar orientations
(Massachusetts Institute of Technology, 2017)In this thesis, we study the mating of trees approach to Liouville quantum gravity decorated with SLE curves and its application to the scaling limit theory of decorated random planar maps. We focus on the less investigated ... -
Matrix correspondences and the enumeration of plane partitions.
(Massachusetts Institute of Technology, 1978) -
Matrix estimation with latent permutations
(Massachusetts Institute of Technology, 2018)Motivated by various applications such as seriation, network alignment and ranking from pairwise comparisons, we study the problem of estimating a structured matrix with rows and columns shuffled by latent permutations, ... -
Matrix probing, skeleton decompositions, and sparse Fourier transform
(Massachusetts Institute of Technology, 2013)In this thesis, we present three different randomized algorithms that help to solve matrices, compute low rank approximations and perform the Fast Fourier Transform. Matrix probing and its conditioning When a matrix A with ... -
Maximal Hilbert series of quadratic-relator algebras
(Massachusetts Institute of Technology, 1992) -
The maximal rank conjecture
(Massachusetts Institute of Technology, 2018)Let C be a general curve of genus g, embedded in Pr via a general linear series of degree d. In this thesis, we prove the Maximal Rank Conjecture, which determines the Hilbert function of C Pr. -
Maximality of algebras of holomorphic functions
(Massachusetts Institute of Technology, 1960) -
Mayer-Vietoris property for relative symplectic cohomology
(Massachusetts Institute of Technology, 2018)In this thesis, I construct and investigate the properties of a Floer theoretic invariant called relative symplectic cohomology. The construction is based on Hamiltonian Floer theory. It assigns a module over the Novikov ... -
Mean curvature flow self-shrinkers with genus and asymptotically conical ends
(Massachusetts Institute of Technology, 2012)This doctoral dissertation is on the theory of Minimal Surfaces and of singularities in Mean Curvature Flow, for smooth submanifolds Y" in an ambient Riemannian (n+ 1)-manifold Nn+1, including: (1) New asymptotically conical ... -
Mean flow-harmonic interaction : an alternative approach to stability theories
(Massachusetts Institute of Technology, 1986) -
Mesh generation for implicit geometries
(Massachusetts Institute of Technology, 2005)We present new techniques for generation of unstructured meshes for geometries specified by implicit functions. An initial mesh is iteratively improved by solving for a force equilibrium in the element edges, and the ...
