Recent Submissions

  • Characteristic bisets and local fusion subsystems 

    Tokmak, Mustafa Anıl (Bilkent University, 2018-09)
    Fusion systems are categories that contain the p-local structure of a finite group. Bisets are sets endowed with two coherent group actions. We investigate the relation between fusion systems and bisets in this thesis. Fusion ...
  • Which algebraic K3 surfaces cover an enriques surface 

    Sonel, Serkan (Bilkent University, 2018-09)
    We partially determine the necessary and su cient conditions on the entries of the intersection matrix of the transcendental lattice of algebraic K3 surface with Picard number 18 (X) 19 for the surface to doubly ...
  • The pandemic fusion system for endomorphism algebras of p-permutation modules 

    Nika, Andi (Bilkent University, 2018-09)
    During the 1980's Puig developed a new approach to modular representation theory, introducing new p-local invariants and thereby extending Green's work on G-algebras. We investigate the Puig category, commenting on its ...
  • Chain maps between Gruenberg resolutions 

    Fidan, Müge (Bilkent University, 2018-08)
    Let G be a finite group. For a given presentation of G = hF|Ri, Gruenberg gives a construction of a projective resolution for Z as a ZG-module. This resolution, which is called Gruenberg resolution, only depends on the ...
  • Zero sets of analytic function spaces on the unit disk 

    Bavaş, Berk (Bilkent University, 2018-07)
    We survey some known results on the zero sets of two families of analytic function spaces and another single space de ned on the unit disk in the complex plane. We investigate mostly the basic properties of the zero sets ...
  • 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 ...
  • 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.
  • Blocks of quotients of mackey algebras 

    Dar, Elif Doğan (Bilkent University, 2015)
    We review a theorem by Boltje and K¨ulshammer which states that under certain circumstances the endomorphism ring EndRG(RX) has only one block. We study the double Burnside ring, the Burnside ring and the transformations ...

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