Browsing Theses - Dept. of Mathematics by Title
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Browsing Theses - Dept. of Mathematics by Title
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(Massachusetts Institute of Technology, 1947)
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(Massachusetts Institute of Technology, 1948)
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(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 ...
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(Massachusetts Institute of Technology, 1969)
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(Massachusetts Institute of Technology, 2003)In his letter [Ser96], J.-P. Serre proves that the systems of Hecke eigenvalues given by modular forms (mod p) are the same as the ones given by locally constant functions ... , where B is the endomorphism algebra of a ...
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(Massachusetts Institute of Technology, 1995)
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(Massachusetts Institute of Technology, 1994)
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(Massachusetts Institute of Technology, 1991)
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(Massachusetts Institute of Technology, 1977)
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(Massachusetts Institute of Technology, 2006)A crystal lattice with a small miscut from the plane of symmetry has a surface which consists of a series of atomic height steps separated by terraces. If the surface of this crystal is not in equilibrium with the surrounding ...
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(Massachusetts Institute of Technology, 2008)In this thesis, we show that single-petaled K-types and quasi-single-petaled K-types for reductive Lie groups generalize petite K-types for split groups. First, we prove that a Weyl group algebra element represents the ...
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(Massachusetts Institute of Technology, 1995)
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(Massachusetts Institute of Technology, 1994)
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(Massachusetts Institute of Technology, 2004)We present a smoothed analysis of Gaussian elimination, both with partial pivoting and without pivoting. Let A be any matrix and let A be a slight random perturbation of A. We prove that it is unlikely that A has large ...
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(Massachusetts Institute of Technology, 2003)In this thesis, we improve the loop linearization process from the classical article of Atiyah and Bott on Bott periodicity. The linearization process is made explicit in terms of formulae for smooth loops. Using this ...
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(Massachusetts Institute of Technology, 2010)Given an oriented Riemannian four-manifold equipped with a principal bundle, we investigate the moduli spaceMVW of solutions to the Vafa-Witten equations. These equations arise from a twist of N = 4 supersymmetric Yang-Mills ...
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(Massachusetts Institute of Technology, 1982)
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(Massachusetts Institute of Technology, 1994)
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(Massachusetts Institute of Technology, 2005)This thesis is concerned with the intrinsic structure of the De Concini-Procesi compactification of semi-simple adjoint algebraic groups and some relations with other topics of algebraic groups. In chapter 1, we study the ...
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(Massachusetts Institute of Technology, 1998)
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