M.S. Theses: Recent submissions

  • 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 ...
  • Traces of operators with integrable kernels 
    Başakoğlu, Engin. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2016., 2016.)
    Trace class operators are compact operators whose singular values are absolutely summable. C. Brislawn proved in [1] and [2] that a trace formula for trace class operator on L2(X) is determined by it's corresponding kernel ...
  • On simple modules over the section burnside functor 
    Balçık, Irmak. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2016., 2016.)
    Biset functors provides a uni ed approach to module theoretic operations on representations of nite groups. It is well-known that biset functors can be considered as modules over the Green biset functor of the Burnside ...
  • 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 ...
  • Smoothing estimates for the periodic KdV equation 
    Kuzgun, Şefika. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2016., 2016.)
    In this thesis we aim at understanding an article of M. B. Erdo gan and N. Tzirakis on the famous KdV (Korteweg-de Vries) equation, entitled \Global smoothing for the periodic KdV", which appeared in International Mathematics ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • The mean values of the functional equation factor x at the zeros of (s) and L 
    Banli, Kübra. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    In this work, we calculate some mean values of the functional equation factor at the zeros of derivatives of Riemann zeta function and Dirichlet L-functions.
  • 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 ...
  • Topologies on families of closed subsets 
    Karan, Alperen. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    In 1914, Felix Hausdor introduced a metric, called the Hausdor metric on the set of closed subspaces, Hausdor space, of a metric space. This metric and the corresponding topology are the main objects of the study. In ...
  • Large deviations principles for Markov chains and for strongly additive arithmetic functions 
    Yenisey, Mehmet. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    Large deviations is a branch of probability theory with far-reaching applications in other elds of science and can be described to the layperson as the study of \very rare" events. We provide a modest introduction to the ...
  • An optimal change of variables scheme for single scattering problems 
    Eruslu, Hasan Hüseyin. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    In this work we are concentrated on the direct obstacle scattering problem for convex bodies in two dimensions. In order to calculate the scattered eld, we rst need to compute the normal derivative of the total eld on ...
  • Algebro-geometric solutions of the kadomtsev-petviashvili equation 
    Çiçek, Fatma. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2014., 2014.)
    I. M. Krichever suggested a method to solve nonlinear partial di erential equations in the form of the Zaharov-Shabat Equation [L {u100000} @y;A {u100000} @t] = 0 where L and A are di erential operators including derivatives ...
  • Milnor open books and milnor fillable contact structures 
    Cengiz, Mustafa. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2014., 2014.)
    It was proven by Caubel, N emethi, Popescu-Pampu [1] in 2004 that any 3- dimensional Milnor llable manifold inherits a unique contact structure from any of its llings up to contactomorphism. The proof runs as follows: ...
  • 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 ...
  • The fibered p-biset functor of the fibered burnside ring 
    Yılmaz, Deniz. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    We nd the composition factors of the A- bered Burnside functor kBA of p- groups over a eld k of characteristic q with q 6= p. We show that if A is a cyclic p-group, then kBA is uniserial. Moreover, we also show that the ...
  • Zeros of orthogonal polinomials and universality limits 
    Çamlıyurt, Güher. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2013., 2013.)
    It has been discovered that "old style" techniques from orthogonal polynomials have been very useful in establishing universality results for quite general measures. The main goal of this master thesis is to present some ...
  • Null controllability of 1-d heat equation with switching controls 
    Taghiyev, Ali. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2013., 2013.)
    In [1], Zuazua analyzed the problem of two switching controls for null controllability of the 1-d heat equation with Dirichlet's boundary conditions and obtained su cient conditions for null controls satisfying switching ...

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