Browsing Matematik by Title

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  • Computation of grid homology 
    Taştan, Fulya. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2018., 2018.)
    In this thesis, the main aim is to study a combinatorial approach of knot Floer homology for a given knot K (or a link) in S3, called grid homology. We will define the bigrading structure on the chain complexes, and will ...
  • Connections between adjoint functors and limits 
    Sözübek, Serdar. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2006., 2006.)
    The concept of an adjoint functor is one of the most important concepts in category theory. Their close relation with universal arrows and limits makes them indispensable. In this thesis connections between adjoint functors ...
  • Construction of metrics on Sasaki-Einstein manifolds 
    Şenel, Güneş. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2013., 2013.)
    Sasaki-Einstein manifolds are Einstein manifolds occurring in odd dimensions, which have positive curvature and Calabi-Yau metric cones. We start with an introduction of Sasakian manifolds, following the historical development ...
  • Construction of surface bundles with non-zero signature 
    Köse, Feride Ceren. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2016., 2016.)
    In this thesis, we study a new method introduced by H. Endo, M. Korkmaz, D. Kotschick, B. Ozbagci, and A. Stipsicz in their paper [1] to construct surface bundles over a surface of genus 9 with signature 4.
  • Convexity in graphs 
    Erey, Aysel. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2011., 2011.)
    The idea of finding analogies and generalizations to some concepts from continuous mathematics has led to the study of several new topics in discrete structures. Convexity is such a concept that has been widely studied in ...
  • Correspondence theoren in tropical geometry 
    Çineli, Sami Erman. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    Tropical varieties are piecewise linear co-dimension 1 subsets of Rn. For 1- dimensional tropical varieties, we will de ne an enumerative problem analogous to the classical enumerative problem in (C )2, which counts curves ...
  • Covariance estimation of spatio-temporal random variables with kronecker product based models 
    Dağıdır, Can Hakan. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2022., 2022)
    Covariance estimation is a widely studied topic. Due to the nature of many prob lems, high-dimensional Spatio-temporal scenarios are considered frequently. In some cases, the true covariance matrices are also expected to ...
  • Definable sets over finite fields 
    Güner, Kadir Güray. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2013., 2013.)
    Counting the number of points of an algebraic set over a finite field has been studied by Hasse [1], Lang and Weil [2], and is an important theme in algebra. In this thesis, we present the results found by Chatzidakis, van ...
  • Denseness of morse-smale systems on surfaces 
    Özsarfati, Metin. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2011., 2011.)
    Let M be a compact, connected 2-manifold without boundary. Morse-Smale fields are known to be dense in the space of all Cr vector elds on M when M is oriented or is one of RP2, Klein bottle or torus with a cross cap. In ...
  • Different versions of the modularity theorem 
    Bildik, İlkiz. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2017., 2017.)
    One of the most interesting results in number theory is the proof of the Modu larity Theorem. The Modularity Theorem has many different versions. The geometric version states that there is a surjective morphism between ...
  • Disorder regimes of directed polymers: lattice case versus tree case 
    Nurbavliyev, Sergazy. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    Relation between disorder regimes of directed lattice polymers and tree polymers have been scrutinized in this thesis. In the rst part of this thesis we introduced the polymer in chemistry and explained our model associated ...
  • Efficient based for the galerkin solution of multiple-scattering problems 
    Aktepe, Ömer. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2016., 2016.)
    In this thesis we consider high-frequency multiple scattering problems in the exterior of two-dimensional smooth compact scatterers consisting of two disjoint strictly convex obstacles. The motivation in considering this ...
  • Finite quotients in algebraic geometry 
    Demirhan, Arda Hüseyin. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    In the 1960s Alexander Grothendieck and Michel Demazure organized the seminar, S eminaire de G eom etrie Alg ebrique du Bois Marie (SGA), in which they developed the theory of group schemes. My thesis primarily focuses on ...
  • First moment problem in longest common subsequences 
    Demirelli, Abdurrahman. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2018., 2018.)
    In this thesis, we investigate the properties of the longest common subsequences in random words, examine upper and lower bounds for the expected value of the longest common subsequences in this setting, and discuss the ...
  • First steps into heegard floer homology 
    Özlem, Semih. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2008., 2008.)
    Heegard Floer homology is a topological invariant for closed 3-manifolds equipped with a spinc-structure. Construction of Heegard Floer homology in the case when first Betti number is 0 is explained. The tools required in ...
  • Frequency independent evaluation of highly oscillatory integrals 
    Özdemir, Rıdvan. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2018., 2018.)
    Oscillatory integrals appear in many applications and therefore, several differ ent quadrature rules for their accurate and efficient evaluation have been proposed in the literature. The efficiency of these methods naturally ...
  • Further regularity of solutions for almost cubic NLS equation 
    Demirbaş, Seçkin. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2010., 2010.)
    This thesis consists of two major parts. In the rst one, we try to give the preliminary local well-posedness results for the ACNLS, and L2 -H1 regularity result which is an easy and straightforward consequence of the ...
  • Generalized complex geometry and nilmanifolds 
    Güner, Murat. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2013., 2013.)
    The generalized complex geometry is a relatively new and highly popular subject which also has applications in theoretical physics. It studies the geometric structures on TM T M. That is to say, this new geometry develops ...
  • Global well-posedness of NLS equations 
    Yılmaz, Oğuz. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2022., 2022)
    The thesis is a survey of the I-method. After introducing the method, we discuss the implementation of this method to cubic, defocusing nonlinear Schrödinger equation in the spatial dimension n = 2 and quintic, defocusing ...
  • Green biset functors and representation rings 
    Muslumov, Ruslan. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2017., 2017.)
    In this thesis, we investigate Green biset functors and clasi cation of sipmle modules over a Green biset functors in some special cases. Our aim is to see what conditions on the Green functor makes simple modules over it ...

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