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Ali Ulaş Özgür Kişisel
E-mail
akisisel@metu.edu.tr
Department
Department of Mathematics
ORCID
0000-0002-3082-9261
Scopus Author ID
8410807600
Web of Science Researcher ID
V-2279-2018
Publications
Theses Advised
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Projects
Graphs of schemes associated to group actions
Kişisel, Ali Ulaş Özgür; Özkan, Engin (2023-12-01)
Let X be a proper algebraic scheme over an algebraically closed field. We assume that atorus T acts on X such that the action has isolated fixed points. The T-graph of X canbe defined using the fixed points and the one-dim...
Expected Multivolumes of Random Amoebas
Bayraktar, Turgay; Kişisel, Ali Ulaş Özgür (2023-09-01)
We compute the expected multivolume of the amoeba of a random half dimensional complete intersection in CP2n . We also give a relative generalization of our result to the toric case.
On amoebas of random plane curves
Kişisel, Ali Ulaş Özgür; Bayraktar, Turgay (2022-05-30)
Due to a theorem of Passare and Rullgard, the area of the amoeba of a degreed" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.16px; overflow-wrap: normal; white-space: nowrap; float: none; ...
Upper level sets of Lelong numbers on ℙ2 and cubic curves
Yazici, Özcan; Kişisel, Ali Ulaş Özgür (2022-03-01)
Let T be a positive closed current of bidimension (1, 1) with unit mass on P2 and Vα(T) be the upper level sets of Lelong numbers ν(T,x) of T. For any α≥13, we show that |Vα(T)∖C|≤2 for some cubic curve C.
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...
The Only Complex 4-net is the Hesse Configuration
Kişisel, Ali Ulaş Özgür (2020-06-12)
It has been conjectured that the only nets realizable in CP2 are 3-nets and the Hesse configuration (up to isomorphism). The goal of this talk will be to outline our proof, together with A. Bassa, of this conjecture. A pre...
Toric varieties and the diagonal property
Kişisel, Ali Ulaş Özgür (Springer, 2010-01-01)
A note on the products (1(mu)+1)(2(mu)+1) ... (n(mu)+1)
Guerel, Erhan; Kişisel, Ali Ulaş Özgür (2010-01-01)
Let Omega(mu)(n) = (1(mu) + 1)(2(mu) + 1) ... (n(mu) + 1) where mu >= 2 is an integer. We prove that Omega(3)(n) is never squarefull, and in particular never a square, using arguments similar to those in J. Cilleruelo (200...
Cotton flow
Kişisel, Ali Ulaş Özgür; Sarıoğlu, Bahtiyar Özgür; Tekin, Bayram (IOP Publishing, 2008-8-5)
Using the conformally-invariant Cotton tensor, we define a geometric flow, the Cotton flow, which is exclusive to three dimensions. This flow tends to evolve the initial metrics into conformally flat ones, and is somewhat ...
Cotton Flow
Kişisel, Ali Ulaş Özgür (2008-05-31)
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