Browsing Matematik by Title

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  • Classification of 2-bridge knots 
    Karabaş, Doğancan. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2016., 2016.)
    In this thesis, we classify the 2-bridge knots, the nontrivial knots which have a knot diagram with two local maxima and minima. They are in some sense the simplest type of knots after the trivial knot. To understand these ...
  • Classification of calibrations on Rn for n 7 
    Demir, Ümmühan. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    In this thesis, our aim is to understand all possible calibrated submanifolds of Rn for n 7. We start with basic de nitions and tools that are used throughout this thesis. Then we study the general theory of calibrated ...
  • Classification of nonsymmetric Riemannian manifolds using holonomy groups 
    Ferlendez, Bora. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2008., 2008.)
    In this thesis, Simons’ proof of Berger’s classification of nonsymmetric irreducible Riemannian manifolds with respect to their holonomy groups is studied and Berger’s classification is discussed. The main tools will be ...
  • Cohomology groups of mapping class groups 
    Kara, Yasemin. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2006., 2006.)
    The mapping class group of an orientable surface of genus g is the group of all orientation preserving piecewise linear homeomorphisms of the surface up to isotopy. In this thesis it is shown that the mapping class group ...
  • Combinatorial computation techniques for homology comordism invariants of plumbed 3-manifolds 
    Şavk, Oğuz. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2018., 2018.)
    We study some invariants of homology cobordism classes in dimension three. These invariants have their roots in gauge theory but are computable combinatori ally for plumbed 3-manifolds. We illustrate certain computation ...
  • Complex representations of finite general linear groups 
    Küçük, Ebru Beyza. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2019., 2019.)
    In this thesis, we determine complex irreducible representations of GL(2,K), the group of 2 by 2 invertible matrices over a finite field K. Actually, this is done by Ilya Piatetski-Shapiro in 1983. In his article [1], Shapiro ...
  • Composition factors of the functor of the complex characters 
    Arslan, Mehmet. (Thesis (Ph.D.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2018., 2018.)
    When we consider CRC as a map sending any finite group G to the complex vector space CRC(G) of complex valued class functions on G, it becomes an A-fibered biset functor for any group A ≤ C×. Its structure is known for ...
  • 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 ...

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