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Browsing Theses - Mathematics by Title

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Browsing Theses - Mathematics by Title

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  • Radulescu-Banu, Andrei, 1970- (Massachusetts Institute of Technology, 1999)
  • Chae, Hi-joon (Massachusetts Institute of Technology, 1994)
  • Goldin, Rebecca Freja, 1971- (Massachusetts Institute of Technology, 1999)
  • Balakrishnan, Jennifer Sayaka (Jennifer Shyamala Sayaka) (Massachusetts Institute of Technology, 2011)
    The Colemani integral is a p-adice line integral that can be used to encapsulate several quantities relevant, to a study of the arithmetic of varieties. In this thesis, I describe algorithms for computing Coleman integrals ...
  • Heckbert, Paul S (Massachusetts Institute of Technology, 1980)
  • Jesurum, Caroline Esther, 1969- (Massachusetts Institute of Technology, 1995)
  • Li, Nan, Ph. D. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2013)
    We studies two examples of polytope slices, hypersimplices as slices of hypercubes and edge polytopes. For hypersimplices, the main result is a proof of a conjecture by R. Stanley which gives an interpretation of the Ehrhart ...
  • Losonczy, Jozsef (Massachusetts Institute of Technology, 1996)
  • Williams, Lauren Kiyomi (Massachusetts Institute of Technology, 2005)
    In this thesis I study combinatorial aspects of an emerging field known as total positivity. The classical theory of total positivity concerns matrices in which all minors are nonnegative. While this theory was pioneered ...
  • Stembridge, John Reese (Massachusetts Institute of Technology, 1985)
  • An, Junkyu (Massachusetts Institute of Technology, 2010)
    This thesis is devoted to the divisibility property of weighted Catalan and Motzkin numbers and its applications. In Chapter 1, the definitions and properties of weighted Catalan and Motzkin numbers are introduced. Chapter ...
  • Babson, Eric Kendall (Massachusetts Institute of Technology, 1994)
  • Ehrenborg, Jöns Richard Gustaf (Massachusetts Institute of Technology, 1993)
  • Klivans, Caroline J. (Caroline Jane), 1977- (Massachusetts Institute of Technology, 2003)
    In this thesis we study the class of shifted simplicial complexes. A simplicial complex on n nodes is shifted if there exists a labelling of the nodes by 1 through n such that for any face, replacing any node of the face ...
  • Yoo, Hwanchul (Massachusetts Institute of Technology, 2011)
    This thesis consists of two parts. Both parts are devoted to finding links between geometric/algebraic objects and combinatorial objects. In the first part of the thesis, we link Schubert varieties in the full flag variety ...
  • Zhang, Yan, Ph. D. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2013)
    Adinkras are graphical tools created to study representations of supersymmetry algebras. Besides having inherent interest for physicists, the study of adinkras has already shown nontrivial connections with coding theory ...
  • Morales, Alejandro Henry (Massachusetts Institute of Technology, 2012)
    In the first part of this thesis we study factorizations of the permutation (1; 2,..., n) into k factors of given cycle type. Using representation theory, Jackson obtained for each k an elegant formula for counting these ...
  • Konvalinka, Matjaž (Massachusetts Institute of Technology, 2008)
    In this thesis, we apply combinatorial means for proving and generalizing classical determinantal identities. In Chapter 1, we present some historical background and discuss the algebraic framework we employ throughout the ...
  • Tenner, Bridget Eileen (Massachusetts Institute of Technology, 2006)
    This thesis examines several aspects of reduced decompositions in finite Coxeter groups. Effort is primarily concentrated on the symmetric group, although some discussions are subsequently expanded to finite Coxeter groups ...
  • Lam, Thomas F. (Thomas Fun Yau) (Massachusetts Institute of Technology, 2005)
    This thesis begins with the study of a class of symmetric functions ... Which are generating functions for ribbon tableaux (hereon called ribbon functions), first defined by Lascoux, Leclerc and Thibon. Following work of ...
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