Browsing Dept. of Mathematics  Master's degree by Title
Now showing items 2140 of 119

Construction of modular forms with Poincaré series
(Bilkent University, 2010)In this thesis, we construct holomorphic modular forms of integral weight k > 2 for the principle congruence subgroup Γ( ¯ N) by means of Poincar´e series. We start by providing the necessary background information on ... 
Critical probabilities of percolation on graphs and random trees
(Bilkent University, 2014)We consider the model of independent percolation on various graphs and random trees. We investigate the critical probabilities of bond and site percolation on these graphs. 
Curves in projective space
(Bilkent University, 2003)This thesis is mainly concerned with classification of nonsingular projective space curves with an emphasis on the degreegenus pairs. In the first chapter, we present basic notions together with a very general notion ... 
Dilation theorems for VHspaces
(Bilkent University, 2009)In the Appendix of the book Le¸cons d’analyse fonctionnelle by F. Riesz and B. Sz.Nagy, B. Sz.Nagy [15] proved an important theorem on operator valued positive definite maps on ∗semigroups, which today can be considered ... 
The distance between maximum modulus points and the zero set of an entire function
(Bilkent University, 2001) 
Existence of basis in some Whitney spaces
(Bilkent University, 2003)Existence of basis in locally convex spaces has been a hot subject in functional analysis for more than 40 years. We will give some partial solutions to this wellknown problem. We will demonstrate two cases of Cantortype ... 
Explicit reciprocity laws
(Bilkent University, 2010)Quadratic reciprocity law was conjectured by Euler and Legendre, and proved by Gauss. Gauss made first generalizations of this relation to higher fields and derived cubic and biquadratic reciprocity laws. Eisenstein and ... 
The extension class of a subset complex
(Bilkent University, 2006) 
Extremal problems and bergman projections
(Bilkent University, 201707)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 ... 
Extreme behavior of lex ideals on Betti numbers
(Bilkent University, 2013)This paper mainly deals with the finitely generated graded modules of the polynomial ring k[x1, x2, ..., xn]. Free resolutions is an important tool to understand the structure of these modules. Betti numbers are an useful ... 
Factorization in Hardy and Nevanlinna classes
(Bilkent University, 1999)We find conditions under which the factors of a function belonging to Hardy or Nevanlinna class also belong to the corresponding class. The basis of our method is the theorem on the representation of a function harmonic ... 
Free actions on CWcomplexes and varieties of square zero matrices
(Bilkent University, 2011)Gunnar Carlsson stated a conjecture which gives a lower bound on the rank of a differential graded module over a polynomial ring with coefficients in algebraically closed field k when it has a finite dimensional homology ... 
Free actions on product of spheres at high dimensions
(Bilkent University, 2012) 
Geodesic connectedness and completeness of twice warped products
(Bilkent University, 201709)We introduce the semiRiemannian geometry. We give some results about Riemannian and Lorentzian manifolds. We explained the Lorentzian causality. We focus on the causality of spacetimes. We de ne the Lorentzian distance. ... 
Geodesics of threedimensional walker manifolds
(Bilkent University, 201607)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, ... 
Geometric characterization of extension property for model compact sets
(Bilkent University, 2000) 
Geometry and matrix spectral problems
(Bilkent University, 2002)The aim of this thesis is to give a survey and applications of some recent work of Klyachko, Knutson and Tao that characterizes eigenvalues of sum of Hermitian matrices and decomposition of tensor products of representations of ... 
The geometry of tangent bundle and its applications
(Bilkent University, 2003)In this thesis, we first give a brief summary of the Riemannian Geometry which is the extension of Euclidean Geometry. Later we introduce the Finsler Geometry and the geometry of tangent bundle. Finally we give the ... 
Green correspondence for Mackey functors
(Bilkent University, 2008)The Green corespondence for modules of group algebras was introduced by Green in 1964. A version for Mackey functors was introduced by Sasaki in 1982. Sasaki’s characterization of Mackey functor correspondence was based ... 
Groebner basis approach in graphtheoretical problems
(Bilkent University, 201606)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 ...