Kadri İlker Berktav

E-mail

berktav@metu.edu.tr

Department

Department of Mathematics

ORCID

0000-0003-0586-1363

On shifted contact derived Artin stacks Berktav, Kadri İlker (2025-11-01) This is a sequel of [2] on the development of derived contact geometry. In [2], we formally introduced shifted contact structures on derived stacks. We then gave a Darboux-type theorem and the notion of symplectification o...
Shifted Contact Structures and Their Local Theory Berktav, Kadri İlker (Cellule MathDoc/Centre Mersenne, 2025-2-3) In this paper, we formally define k-shifted contact structures on derived (Artin) stacks and study their local properties in the context of derived alge- braic geometry. In this regard, for k-shifted contact derived K-sche...
Stacks in Einstein gravity Berktav, Kadri İlker (The Scientific and Technological Research Council of Turkey (TUBITAK-ULAKBIM) - DIGITAL COMMONS JOURNALS, 2024-7-3) In this paper, we examine stacky structures in certain Einstein gravity theories. In brief, using the classicalformulation of (vacuum) gravity, with vanishing cosmological constant, we first construct the stack of solution...
Notes on derived geometric formulations in physics Berktav, Kadri İlker (World Scientific Pub Co Pte Ltd, 2022-6-21) This is an overview on certain higher structural constructions in physics. Main motivations of our current attempt are as follows: (i) to provide a brief introduction to the basics of derived algebraic geometry, (ii) to un...
EUCLIDEAN POLYNOMIALS FOR CERTAIN ARITHMETIC PROGRESSIONS AND THE MULTIPLICATIVE GROUP OF F-p2 Berktav, Kadri İlker; Özbudak, Ferruh (2022-06-01) Let f(x) be a polynomial with integer coefficients. We say that the prime p is a prime divisor of f(x) if p divides f(m) some integer m. For each positive integer n, we give an explicit construction of a polynomial all of ...

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