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Browsing Department of Mathematics by Title

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  • He, Xuhua, 1979- (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 ...
  • Gupta, David (David Gregg), 1969- (Massachusetts Institute of Technology, 1998)
  • Rezk, Charles W. (Charles Waldo) (Massachusetts Institute of Technology, 1996)
  • Liu, Ricky Ini (Massachusetts Institute of Technology, 2010)
    The algebra of symmetric functions, the representation theory of the symmetric group, and the geometry of the Grassmannian are related to each other via Schur functions, Specht modules, and Schubert varieties, all of which ...
  • Savale, Nikhil, Jr. (Nikhil A.) (Massachusetts Institute of Technology, 2012)
    In this thesis, we study the problem of asymptotic spectral flow for a family of coupled Dirac operators. We prove that the leading order term in the spectral flow on an n dimensional manifold is of order r n+1/2 followed ...
  • Metcalfe, Ralph W (Massachusetts Institute of Technology, 1974)
  • Wang, Zuoqin, Ph. D. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2008)
    The asymptotic behavior for the spectral measure of a Kähler manifold has been studied by many authors in the context of Kähler quantization. It is well known that the spectral measure has an asymptotic expansion, while ...
  • Liu, Xiangwei, 1976- (Massachusetts Institute of Technology, 2001)
    This thesis has two parts. The first part studies the spectrum of a family of growing trees, we show that the eigenvalues of the adjacency matrix and Laplacian matrix have high multiplicities. As the trees grow, the graphs ...
  • Yick, King-Yeung, 1978- (Massachusetts Institute of Technology, 2008)
    We present a combined theoretical, experimental and numerical investigation of a sphere settling in a linearly stratified fluid at low Reynolds number (0.01 </= Re </= 2.1). We developed the microscale Synthetic Schlieren ...
  • Luo, Huazhang, 1971- (Massachusetts Institute of Technology, 1998)
  • Zang, Thomas Arthur (Massachusetts Institute of Technology, 1976)
  • Davis, Jon H., 1943- (Massachusetts Institute of Technology, 1970)
  • Haskins, Elizabeth M. (Elizabeth Morgan) (Massachusetts Institute of Technology, 1936)
  • Klain, Daniel A (Massachusetts Institute of Technology, 1994)
  • Dong, Yu-An, 1974- (Massachusetts Institute of Technology, 2005)
    Complex networks arise in diverse areas of natural and social sciences and network topology is a key determinant of such systems. In this work we investigate the protein-protein interaction network of the KSHV herpesvirus, ...
  • Tucker, George Jay (Massachusetts Institute of Technology, 2014)
    Biological systems are extremely complex, and our ability to experimentally measure interactions in these systems is limited by inherent noise. Technological advances have allowed us to collect unprecedented amounts of raw ...
  • Wolf, Ethan (Massachusetts Institute of Technology, 1996)
  • He, Siqian (Massachusetts Institute of Technology, 1996)
  • Elizalde, Sergi, 1979- (Massachusetts Institute of Technology, 2004)
    This thesis concerns the enumeration of pattern-avoiding permutations with respect to certain statistics. Our first result is that the joint distribution of the pair of statistics 'number of fixed points' and 'number of ...
  • Kamrin, Kenneth Norman (Massachusetts Institute of Technology, 2008)
    Granular materials such as sand or gravel surround us everyday and yet remain poorly understood. In this thesis, two models are developed for dense granular flow, each capable of predicting flows with accuracy in multiple ...
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