Browsing by Author "Lima-Filho, Paulo"

Now showing items 1-19 of 19

    • Applications of algebraic geometry to object/image recognition 
      Abbott, Kevin Toney (2009-06-02)
      In recent years, new approaches to the problem of Automated Target Recognition using techniques of shape theory and algebraic geometry have been explored. The power of this shape theoretic approach is that it allows one ...
    • Brackets on Hochschild cohomology of Noncommutative Algebras 
      Grimley, Lauren Elizabeth (2016-04-08)
      The Hochschild cohomology of an associative algebra is a Gerstenhaber algebra, having a graded ring structure given by the cup product and a compatible graded Lie algebra structure given by the Gerstenhaber bracket. The ...
    • CONTRIBUTIONS TO THE COMPACTNESS THEORY OF THE DEL-BAR NEUMANN OPERATOR 
      Celik, Mehmet (2010-01-16)
      This dissertation consists of three parts. In the
    • Finite Generation of Cohomology of Quotients of PBW Algebras 
      Shroff, Piyush (2012-10-19)
      In this dissertation we prove nite generation of the cohomology of quotients of a PBW algebra denoted by A by relating it to the cohomology of quotients of a quantum symmetric algebra denoted by S which is isomorphic to ...
    • G-Varieties and the Principal Minors of Symmetric Matrices 
      Oeding, Luke (2010-07-14)
      The variety of principal minors of nxn symmetric matrices, denoted Zn, can be described naturally as a projection from the Lagrangian Grassmannian. Moreover, Zn is invariant under the action of a group G C GL(2n) isomorphic ...
    • Geometry of Feasible Spaces of Tensors 
      Qi, Yang (2013-07-17)
      Due to the exponential growth of the dimension of the space of tensors V_(1)⊗• • •⊗V_(n), any naive method of representing these tensors is intractable on a computer. In practice, we consider feasible subspaces ...
    • Homological algebra and problems in combinatorics and geometry 
      Tohaneanu, Stefan Ovidiu (Texas A&M University, 2007-09-17)
      This dissertation uses methods from homological algebra and computational commutative algebra to study four problems. We use Hilbert function computations and classical homology theory and combinatorics to answer questions ...
    • Immanants, Tensor Network States and the Geometric Complexity Theory Program 
      Ye, Ke (2012-10-19)
      We study the geometry of immanants, which are polynomials on n^2 variables that are defined by irreducible representations of the symmetric group Sn. We compute stabilizers of immanants in most cases by computing Lie ...
    • Investigation of Simple Linear Measurement Error Models (SLMEMS) with Correlated Data 
      Lu, Ming (2014-12-06)
      The primary goal of this research is to develop statistical methods to determine if observed real responses are adequately modeled by (possibly stochastic) simulation models that incorporate first-order autoregressive ...
    • The Local Equivalence Problem for 7-dimensional, 2-nondegenerate CR Manifolds whose Cubic Form is of Conformal Unitary Type 
      Porter, Curtis Wade (2016-06-03)
      We apply E. Cartan’s method of equivalence to classify 7-dimensional, 2-nondegenerate CR manifolds M up to local CR equivalence in the case that the cubic form of M satisfies a certain symmetry property with respect to the ...
    • Loop spaces in motivic homotopy theory 
      Decker, Marvin Glen (2009-06-02)
      In topology loop spaces can be understood combinatorially using algebraic theories. This approach can be extended to work for certain model structures on categories of presheaves over a site with functorial unit interval ...
    • On the Property F Conjecture 
      Gustafson, Paul Prem (2018-08-02)
      This thesis solves the following question posed by Etingof, Rowell, and Witherspoon: Are the images of mapping class group representations associated to the modular category Mod-D^w (G) always finite? We answer this question ...
    • Optimization of fractured well performance of horizontal gas wells 
      Magalhaes, Fellipe Vieira (2009-06-02)
      In low-permeability gas reservoirs, horizontal wells have been used to increase the reservoir contact area, and hydraulic fracturing has been further extending the contact between wellbores and reservoirs. This thesis ...
    • Phylogenetic Toric Varieties on Graphs 
      Buczynska, Weronika J. (2010-10-12)
      We define the phylogenetic model of a trivalent graph as a generalization of a binary symmetric model of a trivalent phylogenetic tree. If the underlining graph is a tree, the model has a parametrization that can be expressed ...
    • Piecewise polynomial functions on a planar region: boundary constraints and polyhedral subdivisions 
      McDonald, Terry Lynn (Texas A&M University, 2006-08-16)
      Splines are piecewise polynomial functions of a given order of smoothness r on a triangulated region (or polyhedrally subdivided region) of Rd. The set of splines of degree at most k forms a vector space Crk() Moreover, a ...
    • The Polynomial Waring Problem and the Determinant 
      Farnsworth, Cameron Lee (2016-05-18)
      The symmetric rank of a polynomial P is the minimum number of d-th powers of linear forms necessary to sum to P. Questions pertaining to the rank and decomposition of symmetric forms or polynomials are of classic interest. ...
    • Ro(g)-graded equivariant cohomology theory and sheaves 
      Yang, Haibo (2009-05-15)
      If G is a nite group and if X is a G-space, then a Bredon RO(G)-graded equivariantcohomology theory is dened on X. Furthermore, if X is a G-manifold, thereexists a natural Čech hypercohomology theory on X. While Bredon ...
    • Tate Cohomology of Finite Dimensional Hopf Algebras 
      Nguyen, Van Cat (2014-06-19)
      Let A be a finite dimensional Hopf algebra over a field k. In this dissertation, we study the Tate cohomology Ĥ* (A, k) and Tate-Hochschild cohomology (HH) ̂* (A, A) of A, and their properties. We introduce cup products ...
    • Variant: Limits 
      Thomas, Andre; Lima-Filho, Paulo; Pederson, Susan; Ramadan, Hadeel; Bologan, Anatol (Triseum, 2017-01-09)
      Variant: Limits is a research based educational game designed to help students more easily understand and master abstract concepts related to limits, limit laws, asymptotes and concepts of infinity. Players will see the ...