Now showing items 1-4 of 4

    • A Geometric Approach to Pattern Matching in Polyphonic Music 

      Tanur, Luke (University of Waterloo, 2005)
      The music pattern matching problem involves finding matches of a small fragment of music called the "pattern" into a larger body of music called the "score". We represent music as a series of horizontal line segments in ...
    • Hurwitz Trees and Tropical Geometry 

      Akeyr, Garnet Jonathan (University of Waterloo, 2016-01-21)
      The lifting problem in algebraic geometry asks when a finite group G acting on a curve defined over characteristic p > 0 lifts to characteristic 0. One object used in the study of this problem is the Hurwitz tree, which ...
    • On the Representation Theory of Semisimple Lie Groups 

      Al-Faisal, Faisal (University of Waterloo, 2010-08-30)
      This thesis is an expository account of three central theorems in the representation theory of semisimple Lie groups, namely the theorems of Borel-Weil-Bott, Casselman-Osborne and Kostant. The first of these realizes all ...
    • Tensors: Entanglement, Geometry, and Combinatorics 

      Lovitz, Benjamin (University of Waterloo, 2022-04-26)
      In this thesis, we use algebraic-geometric and combinatorial techniques to study tensor decompositions, with applications in quantum information theory, algebraic complexity theory, and algebraic statistics. A tensor is a ...

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