Recent Submissions

  • Codes on fibre products of Artin-Schreier and Kummer coverings of the projective line 

    Shalalfeh, Mahmoud (Bilkent University, 2002-08)
    In this thesis, we study smooth projective absolutely irreducible curves defined over finite fields by fibre products of Artin-Schreier and Kummer coverings of the projective line. We construct some curves with many rational ...
  • Stochastic analysis of short-rate modeling: which approach yields a better fit to data? 

    Bulut, Mustafa (Bilkent University, 2017-10)
    This thesis investigates the extent to which the two of the most common onefactor short-rate models are able to describe the market behavior of risk free Turkish treasuries for the post-2005 period. The investigated ...
  • Geodesic connectedness and completeness of twice warped products 

    Ateşli, Begüm (Bilkent University, 2017-09)
    We introduce the semi-Riemannian geometry. We give some results about Riemannian and Lorentzian manifolds. We explained the Lorentzian causality. We focus on the causality of space-times. We de ne the Lorentzian distance. ...
  • The Monge-Kantorovich mass transportation problem 

    Demirel, İhsan (Bilkent University, 2017-09)
    The Monge mass transportation problem was stated by French Mathematician, G. Monge [6]. After that Soviet Mathematician Leonid Kantorovich [4] published a relaxed version of the problem, namely the Monge-Kantorovich ...
  • Representations of symmetric groups and structures of Lie algebra 

    Acar, Merve (Bilkent University, 2017-08)
    The aim of this thesis construct structure of Free Lie Algebra L(V ) generated by nite dimensional vector space V and decompose into irreducible components of a given degree n. To splits into irreducible component, ...
  • Extremal problems and bergman projections 

    Özbek, Rasimcan (Bilkent University, 2017-07)
    Studying extremal problems on Bergman spaces is rather new and techniques used are usually specific to the problem to be solved. However, a 2014 paper by T. Ferguson developed a systematic method using Bergman projections ...
  • Minimal surfaces on three-dimensional Walker manifolds 

    Berani, Erzana (Bilkent University, 2017-06)
    Lorentzian Geometry has shown to be very useful in a wide range of studies including many diverse research elds, especially in the theory of general relativity and mathematical cosmology. A Walker manifold descends from ...
  • Asymptotics of extremal polynomials for some special cases 

    Alpan, Gökalp (Bilkent University, 2017-05)
    We study the asymptotics of orthogonal and Chebyshev polynomials on fractals. We consider generalized Julia sets in the sense of Br uck-B uger and weakly equilibrium Cantor sets which was introduced in [62]. We give ...
  • Extension problem and bases for spaces of infinitely differentiable functions 

    Merpez, Zeliha Ural (Bilkent University, 2017-04)
    We examine the Mityagin problem: how to characterize the extension property in geometric terms. We start with three methods of extension for the spaces of Whitney functions. One of the methods was suggested by B. S. Mityagin: ...
  • Monoid actions, their categorification and applications 

    Erdal, Mehmet Akif (Bilkent University, 2017-01)
    We study actions of monoids and monoidal categories, and their relations with (co)homology theories. We start by discussing actions of monoids via bi-actions. We show that there is a well-defined functorial reverse action ...
  • Deformation classes of singular quartic surfaces 

    Aktaş, Çisem Güneş (Bilkent University, 2017-01)
    We study complex spatial quartic surfaces with simple singularities and give their classication up to equisingular deformation. Simple quartics are K3-surfaces and as such they can be studied by means of the global Torelli ...
  • On the Nẹ́ron-severi lattice of Delsarte surfaces 

    Kişioğlu, Mehmet (Bilkent University, 2016-10)
    The Nẹ́ron-Severi group, NS(X), of a given (non-singular projective) variety, X, is defined in only algebro-geometric terms, however it is also known to be an arithmetic invariant. So it is an important study that helps ...
  • Numerical study of orthogonal polynomials for fractal measures 

    Şimşek, Ahmet Nihat (Bilkent University, 2016-07)
    In recent years, potential theory has an essential effect on approximation theory and orthogonal polynomials. Basic concepts of the modern theory of general orthogonal polynomials are described in terms of Potential Theory. ...
  • On some of the simple composition factors of the biset functor of P-permutation modules 

    Karagüzel, Çisil (Bilkent University, 2016-07)
    Let k be an algebraically closed field of characteristic p, which is a prime, and C denote the field of complex numbers. Given a finite group G, letting ppk(G) denote the Grothendieck group of p-permutation kG-modules, we ...
  • Geodesics of three-dimensional walker manifolds 

    Büyükbaş Çakar, Gökçen (Bilkent University, 2016-07)
    We review some basic facts of Lorentzian geometry including causality and geodesic completeness. We depict the properties of curves and planes in threedimensional Minkowski space. We deffne the Walker manifolds, that is, ...
  • Homotopy colimits and decompositions of function complexes 

    Çakar, Adnan Cihan (Bilkent University, 2016-07)
    Given a functor F : C→ GSp, the homotopy colimit hocolimCF is defined as the diagonal space of simplicial replacement of F. Let G be a finite group and F be a family of subgroups of G, the classifying space EFG can be taken ...
  • Groebner basis approach in graph-theoretical problems 

    Örün, Onur Muharrem (Bilkent University, 2016-06)
    In the study of graphs, it is often desirable to know about the colorability properties of a given graph or whether it is planar or if it contains a Hamiltonian cycle. We consider such problems and describe corresponding ...
  • On complete intersections and connectedness 

    Önal, Meltem (Bilkent University, 2002)
    In this thesis, we study the relation between connectedness and complete intersections. We describe the concept of connectedness in codimension k. We also study the basic facts about Cohen-Macaulay rings, and give ...
  • On the minimal number of elements generating an algebraic set 

    Şahin, Mesut (Bilkent University, 2002)
    In this thesis we present studies on the general problem of finding the minimal number of elements generating an algebraic set in n-space both set and ideal theoretically.
  • Concrete sheaves and continuous spaces 

    Özkan Recep (Bilkent University, 2015)
    In algebraic topology and differential geometry, most categories lack some good ”convenient” properties like being cartesian closed, having pullbacks, pushouts, limits, colimits... We will introduce the notion of continuous ...

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