Browsing Mathematics - Ph.D. / Sc.D. by Title
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Browsing Mathematics - Ph.D. / Sc.D. by Title
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(Massachusetts Institute of Technology, 2003)This thesis consists of three projects on the enumerative and algebraic properties of matroids and hyperplane arrangements. In particular, a central object of study is the Tutte polynomial, which stores much of the enumerative ...
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(Massachusetts Institute of Technology, 2001)Let G be a connected complex reductive Lie group. We propose a certain bijection between the set of dominant integral weights of G, and the set of pairs consisting of a nilpotent coadjoint orbit and a finite-dimensional ...
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(Massachusetts Institute of Technology, 2011)In this thesis, we examine three different versions of "categorification" of the affine Hecke algebra and its periodic module: the first is by equivariant coherent sheaves on the Grothendieck resolution (and related objects), ...
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(Massachusetts Institute of Technology, 2002)The focus of this thesis is manifolds with group actions, in particular symplectic manifolds with Hamiltonian torus actions. We investigate the relationship between the equivariant cohomology of the manifold M and the fixed ...
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(Massachusetts Institute of Technology, 1997)
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(Massachusetts Institute of Technology, 1980)
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(Massachusetts Institute of Technology, 2001)We look at the singularity Cn/[Gamma], for [Gamma] finite subgroup of SU(n), from two perspectives. From a geometrical point of view, Cn/[Gamma] is an orbifold with boundary S2n-1/[Gamma]. We define and compute the ...
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(Massachusetts Institute of Technology, 2006)The majority of human genes are not encoded in contiguous segments in the genome but are rather punctuated by long interruptions known as introns. These introns are copied from generation to generation, and even from cell ...
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(Massachusetts Institute of Technology, 1997)
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(Massachusetts Institute of Technology, 1996)
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(Massachusetts Institute of Technology, 2005)In the first part of this dissertation, we provide the first example of a singular energy minimizing free boundary. This singular solution occurs in dimension 7 and higher, and in fact it is conjectured that there are no ...
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(Massachusetts Institute of Technology, 1982)
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(Massachusetts Institute of Technology, 2009)In this thesis I construct, in all odd complex dimensions, pairs of Liouville domains W0 and W1 which are diffeomorphic to the cotangent bundle of the sphere with one extra subcritical handle, but are not symplectomorphic. ...
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(Massachusetts Institute of Technology, 2003)The thesis gives a comprehensive study of elastic instability in growing yeast colonies and thin sheets. The differential adhesion between cells is believed to be the major driving force behind the formation of tissues. ...
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(Massachusetts Institute of Technology, 1969)
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(Massachusetts Institute of Technology, 2007)The Donaldson invariants for CP2 were obtained as the u-plane integral from a N = 2 supersymmetric topological U(1)-gauge theory by Moore and Witten. We derive the generating function for the Donaldson invariants of CP2 ...
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(Massachusetts Institute of Technology, 2007)We prove an analogue of the Hodge cohomology theorem for a certain class of non-compact manifolds. Specifically, let M be a compact manifold with boundary OM, and let g be a metric on Int(M). Assume that there exists a ...
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(Massachusetts Institute of Technology, 1988)
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(Massachusetts Institute of Technology, 2010)Systems biology, the study of biological systems in a holistic manner, has been catalyzed by a dramatic improvement in experimental techniques, coupled with a constantly increasing availability of biological data. The ...
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(Massachusetts Institute of Technology, 1952)
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