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Browsing Department of Mathematics by Title

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  • Vaintrob, Dmitry (Massachusetts Institute of Technology, 2016)
    Let G be a split, semisimple p-adic group. We construct a derived localization functor Loc : ... from the compactified category of [BK2] associated to G to the category of equivariant sheaves on the Bruhat-Tits building ...
  • Croitoru, Dorian (Dorian Eugen) (Massachusetts Institute of Technology, 2010)
    This thesis consists of two parts. In the first part, we start by investigating the classical permutohedra as Minkowski sums of the hypersimplices. Their volumes can be expressed as polynomials whose coefficients - the ...
  • He, Li, 1977- (Massachusetts Institute of Technology, 2001)
    Solar activity, as indexed by sunspots, has a cycle of length varying from about 9 to 13 years. Statisticians have fitted several models to predict sunspot numbers one year ahead. We instead focus on predicting the magnitudes ...
  • Liang, Xiangdong, Ph. D. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2013)
    Capillary instability (Plateau-Rayleigh instability) has been playing an important role in experimental work such as multimaterial fiber drawing and multilayer particle fabrication. Motivated by complex multi-fluid geometries ...
  • Huang, Jennifer, 1973- (Massachusetts Institute of Technology, 1996)
  • Chen, Yong, 1979- (Massachusetts Institute of Technology, 1999)
  • Li, Jing-Rebecca, 1973- (Massachusetts Institute of Technology, 2000)
  • Chan, Alice Shih Ying (Massachusetts Institute of Technology, 2006)
    The Scott rank of a countable structure A, denoted sr(A), was observed by Nadel to be at most wA + 1, where wA4 is the least ordinal not recursive in A. Let T be weakly scattered and L(a,T) be E2-admissible. We give a ...
  • Shlapentokh-Rothman, Yakov (Massachusetts Institute of Technology, 2015)
    In this thesis we study wave and Klein-Gordon equations on Kerr exterior spacetimes. For the wave equation, we give a quantitative refinement and simple proofs of mode stability type statements on Kerr backgrounds in the ...
  • Van Ekeren, Jethro (Jethro William) (Massachusetts Institute of Technology, 2012)
    We generalize Zhu's theorem on modular invariance of characters of vertex operator algebras (VOAs) to the setting of vertex operator superalgebras (VOSAs) with rational, rather than integer, conformal weights. To recover ...
  • Lin, Qian, Ph. D. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2010)
    There are two algebras associated to a reductive Lie algebra g: the De Concini- Kac quantum algebra and the Kac-Moody Lie algebra. Recent results show that the principle block of De Concini -Kac quantum algebra at an odd ...
  • Ajitabh, Kaushal (Massachusetts Institute of Technology, 1994)
  • Carlton, David, 1971- (Massachusetts Institute of Technology, 1998)
  • Lieblich, Max, 1978- (Massachusetts Institute of Technology, 2004)
    We construct and describe compactified moduli stacks of Azumaya algebras on a smooth projective morphism X [right arrow] S. These stacks are the algebro-geometric version of the (suitably compactified) stacks of principal ...
  • Slavov, Kaloyan (Kaloyan Stefanov) (Massachusetts Institute of Technology, 2011)
    Fix integers n and b with n =/> 3 and 1 =/< b < n - 1. Let k be an algebraically closed field. Consider the moduli space X of hypersurfaces in P" of fixed degree I whose singular locus is at least b-dimensional. We prove ...
  • Desjardins, Craig J. (Craig Jeffrey) (Massachusetts Institute of Technology, 2010)
    A zonotopal algebra is the quotient of a polynomial ring by an ideal generated by powers of linear forms which are derived from a zonotope, or dually it's hyperplane arrangement. In the case that the hyperplane arrangement ...
  • Lin, Francesco Ph. D. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2016)
    In this thesis we generalize the construction of monopole Floer homology due to Kronheimer and Mrowka to the case of a gradient flow with Morse-Bott singularities. Focusing then on the special case of a three-manifold ...
  • Liu, Zihan Hans (Massachusetts Institute of Technology, 2016)
    In this thesis, we will introduce a notion of index of shrinkers of the mean curvature flow. We will then prove a gap theorem for the index of rotationally symmetric immersed shrinkers in R3, namely, that such shrinkers ...
  • Popescu, Ionel, 1974- (Massachusetts Institute of Technology, 2004)
    In this thesis we give a probabilistic proof of the Morse inequalities in the nondegenerate and degenerate case. For the nondegenerate case the kernel associated with the Witten Laplacian has an expression via the Malliavin ...
  • Colthurst, Thomas (Massachusetts Institute of Technology, 1997)
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