research:main

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 research:main [2019/12/04 13:24]ustun research:main [2019/12/10 16:51] (current)ustun Both sides previous revision Previous revision 2019/12/10 16:51 ustun 2019/12/10 16:46 ustun 2019/12/10 16:44 ustun 2019/12/06 00:47 ustun 2019/12/06 00:39 ustun 2019/12/04 13:24 ustun 2019/12/04 13:23 ustun [Preprints] 2019/08/29 21:16 external edit Next revision Previous revision 2019/12/10 16:51 ustun 2019/12/10 16:46 ustun 2019/12/10 16:44 ustun 2019/12/06 00:47 ustun 2019/12/06 00:39 ustun 2019/12/04 13:24 ustun 2019/12/04 13:23 ustun [Preprints] 2019/08/29 21:16 external edit Line 1: Line 1: ===== Interests ===== ===== Interests ===== - I am interested in $G_2$ and Spin(7) manifolds. More specifically,​ I am working on problems related to their calibrated submanifolds (which are volume minimizing submanifolds of dimension 3 in $G_2$ case or 4 in Spin(7) case). I am also interested in Seiberg-Witten theory, low dimensional topology and applications of algebraic geometry to these topics. + I am interested in $G_2$ and Spin(7) manifolds. + More specifically,​ I am working on problems related to their calibrated submanifolds (which are volume minimizing submanifolds of dimension 3 in $G_2$ case or 4 in Spin(7) case) and interactions with other geometric structures (e.g. contact structures). + I am also interested in Seiberg-Witten theory, low dimensional topology and applications of algebraic geometry ​and algebraic topology ​to these problems. - ===== Preprints ​===== + ===== Publications ​===== - [[https://​arxiv.org/​abs/​1804.09951|2) (with S. Akbulut) Complex $G_2$ manifolds and Seiberg-Witten Equations]] + ==== Published ==== - ===== Accepted for Publication ===== + [[https://​doi.org/​10.1016/​j.jalgebra.2019.11.035|1) On the Complex Cayley Grassmannian]],​ Journal of Algebra 547 (2020) 519-537 + + ==== Preprints ​==== + + [[https://​arxiv.org/​abs/​1804.09951|2) (with S. Akbulut) Complex $G_2$ manifolds and Seiberg-Witten Equations]] - [[https://​arxiv.org/​abs/​1711.05169|1) On the Complex Cayley Grassmannian]] (Accepted for publication by Journal of Algebra)