Browsing Dept. of Mathematics  Master's degree by Title
Now showing items 7291 of 119

On Arf rings
(Bilkent University, 1994)In this thesis, we worked with curves which have cusp type singularities. We described the Arf theory, which solves the problem of understanding and finding the multiplicity sequence of a curve branch algebraically. We ... 
On complete intersections and connectedness
(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 CohenMacaulay rings, and give ... 
On Gambler's ruin problem in some models
(Bilkent University, 2005)2player probability games is an important subject of probability theory. In this thesis, we considered four different twoplayer probability games. We calculated the expected value of stopping times of the games. Since ... 
On lower bounds of character sums
(Bilkent University, 1995)111 ilii.s work wo oxlomlod llio ic.sult.s of S.A. Slc)aiiov [3], [i] about lower bouiid.s for incomplete clia.ra.cter .suiiks over a prime finite Held to the ea..se of arbitrar}^ linite field Moreover we atso a.pplied ... 
On lower degree bounds for vector invariants over finite fields
(Bilkent University, 2000)The purpose of this thesis is to obtain a lower degree bound in modular invariant theory for a special case. More precisely, let G be any group and k be a finite field of positive characteristic p such that p divides G ... 
On monomial Burnside rings
(Bilkent University, 2003)This thesis is concerned with some different aspects of the monomial Burnside rings, including an extensive, self contained introduction of the A−fibred G−sets, and the monomial Burnside rings. However, this work has two ... 
On possible deterioration of smoothness under the operation of convolution
(Bilkent University, 1996)We show that the convolution of two probability densities which are restrictions to R of entire functions can possess infinite essential supremuin on each interval. We also present several sufficient conditions of ... 
On power series with one singular point at circumference of convergence
(Bilkent University, 2002)We obtain two refinements of Faber’s theorem related to power series with one singular point at circumference of convergence. The first one characterizes growth at the singular point in more precise scale of growth. The ... 
On real Enriques surfaces
(Bilkent University, 1997) 
On some of the simple composition factors of the biset functor of Ppermutation modules
(Bilkent University, 201607)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 ppermutation kGmodules, we ... 
On the exponential map of the Burnside ring
(Bilkent University, 2002)We study the exponential map of the Burnside ring. We prove the equivalence of the three different characterizations of this map and examine the surjectivity in order to describe the elements of the unit group of the ... 
On the minimal number of elements generating an algebraic set
(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 nspace both set and ideal theoretically. 
On the monodromy groups of real Enriques surfaces
(Bilkent University, 2003)In this thesis we start the study of the fundamental group of the moduli space of real Enriques surfaces. The principal result is the assertion that, with one exception, any permutation of components of the half E (2) R of ... 
On the Nẹ́ronseveri lattice of Delsarte surfaces
(Bilkent University, 201610)The Nẹ́ronSeveri group, NS(X), of a given (nonsingular projective) variety, X, is defined in only algebrogeometric terms, however it is also known to be an arithmetic invariant. So it is an important study that helps ... 
Orbits in the antiinvariant sublattice of the K3lattice
(Bilkent University, 2005) 
Oscillation properties of stopped random walks on infinite tress
(Bilkent University, 2014)We investigate a random walk on a branching tree with vertices labeled 1; 2; : : : ; r which terminates if two consecutive vertices of a walk are labeled with close numbers. It is proved that expected absorption times ... 
The pandemic fusion system for endomorphism algebras of ppermutation modules
(Bilkent University, 201809)During the 1980's Puig developed a new approach to modular representation theory, introducing new plocal invariants and thereby extending Green's work on Galgebras. We investigate the Puig category, commenting on its ... 
Partial differential equations possessing the Painleve property
(Bilkent University, 1996)111 this tli(\sis, a))lying llie l^viiilovc tost (l(ivolo)('.(l by VV(hss, 'labor ainl t biriK'vale (VV1X9) investigatc'd the Pa.inleve property of Ibirgers’ ty)e of ('(piarioiis, KdV type of equations and the KP ... 
Plane sextics with a type E7 singular point
(Bilkent University, 2011)The computation of the fundamental grup of a plane sextic (i.e., curves B ⊂ P 2 ) still remain unanswered problem. There is an huge effort on this subject. In this thesis, we study plane sextic curves with a type E7 ... 
Projective resolutions over EIcategories
(Bilkent University, 2012)Representations of EIcategories occur naturally in algebraic Ktheory and algebraic topology (see [4], [10], [12]). In this thesis, we study EIcategory representations with finite projective dimension. We apply this ...