Department of Mathematics

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Özbudak, Ferruh (149)
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Recent Submissions

Upper level sets of Lelong numbers on P-2 and cubic curves
Kişisel, Ali Ulaş Özgür; Yazıcı, Özcan (2021-11-01)
Let T be a positive closed current of bidimension (1, 1) with unit mass on P-2 and V-alpha(T) be the upper level sets of Lelong numbers nu(T, x) of T. For any alpha >= 1/3, we show that vertical bar V-alpha(T)\C vertical b...
Two kinds of real lines on real del Pezzo surfaces of degree 1
Finashin, Sergey; Kharlamov, V (2021-11-01)
We show how the real lines on a real del Pezzo surface of degree 1 can be split into two species, elliptic and hyperbolic, via a certain distinguished, intrinsically defined, Pin(-)-structure on the real locus of the surfa...
Fabrication of CdSexTe1-x thin films by sequential growth using double sources
Demir, Medine; Gullu, H.H.; Terlemezoglu, M.; Parlak, Mehmet (2021-10-15)
© 2021 Elsevier B.V.CdSexTe(1-x) (CST) ternary thin films were fabricated by stacking thermally evaporated CdSe and electron beam evaporated CdTe layers. The final structure was achieved in a stoichiometric form of approxi...
LCD codes from tridiagonal Toeplitz matrices
Shi, Minjia; Özbudak, Ferruh; Xu, Li; Solé, Patrick (2021-10-01)
© 2021 Elsevier Inc.Double Toeplitz (DT) codes are codes with a generator matrix of the form (I,T) with T a Toeplitz matrix, that is to say constant on the diagonals parallel to the main. When T is tridiagonal and symmetri...
Instanton Bundles on the Blowup of the Projective 3-Space at a Point
Coşkun, Emre; Genç, Özhan; Malaspina, Francesco; Casnati, Gianfranco (2021-10-01)
We propose a general definition of mathematical instanton bundle with given charge on any Fano threefold extending the classical definitions on P3 and on Fano threefold with cyclic Picard group. Then we deal with the cas...
Singular inverse Sturm-Liouville problems with Hermite pseudospectral methods
Altundag, H.; Taşeli, Hasan (2021-10-01)
A numerical approximation to recover certain symmetric potentials in the singular inverse Sturm-Liouville problems over (-infinity,infinity) is presented. A Hermite pseudospectral method is employed to cope with the corres...
BEM SOLUTIONS OF MAGNETOHYDRODYNAMIC FLOW EQUATIONS UNDER THE TIME AND AXIAL-DEPENDENT MAGNETIC FIELD
Ebren Kaya, Elif; Tezer, Münevver; Department of Mathematics (2021-9-6)
In the thesis, four different MHD duct flow problems are solved by using the Dual Reciprocity Boundary Element Method (DRBEM) with the suitable boundary conditions according to the physics of the problem. The two-dimension...
Convergence, stability, and numerical solution of unsteady free convection magnetohydrodynamical flow between two slipping plates
Arslan, Sinem; Tezer-Sezgin, Munevver (2021-09-01)
In this study, the unsteady free convection magnetohydrodynamical flow of a viscous, incompressible, and electrically conducting fluid between two horizontally directed slipping plates is considered. The external magnetic ...
The Wronski map for flag varieties
Güngör, Emre; Kişisel, Ali Ulaş Özgür; Department of Mathematics (2021-9)
In this thesis, we studied flag varieties, the Grassmann variety G(d; n) and their behavior under the Wronski map. We begin by introducing algebraic, topological and geometric tools that are required to define flag varieti...
Computation of the Primary Decomposition of Polynomial Ideals Using Gröbner Bases
Tolgay, Betül; Karayayla, Tolga; Department of Mathematics (2021-8-06)
In this thesis, we investigate algorithms for computing primary decompositions of ideals in polynomial rings. Every ideal in a polynomial ring over a Noetherian commutative ring with identity has a primary decomposition, t...
A survey on multidimensional persistence theory
Karagüler, Dilan; Pamuk, Semra; Department of Mathematics (2021-8)
Persistence homology is one of the commonly used theoretical methods in topological data analysis to extract information from given data using algebraic topology. Converting data to a filtered object and analyzing the topo...
Invariant Metrics and Squeezing Functions on Bounded Domains
Ökten, Ahmed Yekta; Yazıcı, Özcan; Department of Mathematics (2021-8)
In this thesis we will study the biholomorphically invariant objects called squeezing functions. They are closely releated to invariant metrics on bounded domains and describe how much a domain looks like the unit ball loo...
On the BMY inequality on surfaces
Terzi, Sadık (2021-08-01)
In this paper, we are concerned with the relation between the ordinarity of surfaces of general type and the failure of the BMY inequality in positive characteristic. We consider semistable fibrations pi : S -> C where S i...
Correlation distribution of a sequence family generalizing some sequences of trachtenberg
Özbudak, Ferruh; Tekin, Eda (2021-08-01)
In this paper, we give a classification of a sequence family, over arbitrary characteristic, adding linear trace terms to the function g(x) = Tr(x(d)), where d = p(2k) - p(k) + 1, first introduced by Trachtenberg. The fami...
Coefficients of folding polynomials attached to Lie algebras of rank two
Aydoğdu, Muhammed; Küçüksakallı, Ömer; Department of Mathematics (2021-7-9)
Let g be a Lie algebra over a field F, and let h be a Cartan subalgebra of g. The dual space h∗ of h forms a root system. Reflections in the hyperplanes orthogonal to the simple roots of h∗ generate the Weyl group of g. If...
Count of genus zero J-holomorphic curves in dimensions four and six
Beyaz, Ahmet (2021-07-01)
An application of Gromov-Witten invariants is that they distinguish the deformation types of symplectic structures on a smooth manifold. In this manuscript, it is proven that the use of Gromov-Witten invariants in the clas...
Genus-3 Lefschetz Fibrations and Exotic 4-Manifolds with b(2)(+)=3
Altunöz, Tülin (2021-06-01)
We explicitly construct a genus-3 Lefschetz fibration over S-2, whose total space is T-2 x S-2 #6 (CP2) over bar using the monodromy of Matsumoto's genus-2 Lefschetz fibration. We then construct more genus-3 Lefschetz fibr...
Stacky formulations of Einstein gravity
Berktav, Kadri İlker; Kişisel, Ali Ulaş Özgür; Tekin, Bayram; Department of Mathematics (2021-5-28)
This is a thesis on higher structures in geometry and physics. Indeed, the current work involves an extensive and relatively self-contained investigation of higher categorical and stacky structures in (vacuum) Einstein gra...
A Comparison of Boundary Element and Spectral Collocation Approaches to the Thermally Coupled MHD Problem
Bozkaya, Canan; Türk, Önder (2021-05-03)
Commuting graph of A-orbits
Gilloglu, Ismail S.; Ercan, Gülin (2021-05-01)
Let A be a finite group acting by automorphisms on the finite group G. We introduce the commuting graph Gamma(G, A) of this action and study some questions related to the structure of G under certain graph theoretical cond...
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