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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
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)
A family of deployable polygons and polyhedra
Kiper, Goekhan; Söylemez, Eres; Kişisel, Ali Ulaş Özgür (Elsevier BV, 2008-05-01)
A new linkage type for resizing polygonal and polyhedral shapes is proposed. The single degree-of-freedom planar linkages considered mainly consist of links connected by revolute joints. It is shown that the group of mecha...
Polyhedral linkages synthesized using Cardan Motion along radial axes
Kiper, Gökhan; Söylemez, Eres; Kişisel, Ali Ulaş Özgür (2007-06-05)
Polyhedral linkages using Cardan motion along radial axes are synthesized. The resulting single degree-of-freedom linkages are compared with some existing designs. The classification and the transformati...
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