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research:main [2019/12/31 22:17]
ustun
research:main [2020/03/13 18:56] (current)
ustun [Submitted]
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 ===== Interests ===== ===== Interests =====
 I am interested in $G_2$ and Spin(7) manifolds. 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). +More specifically, I am working on problems related to complexification of $G_2$ and Spin(7) manifolds and interactions of these geometries with other geometric structures (e.g. contact and symplectic structures). 
-I am also interested in Seiberg-Witten theory, low dimensional topology and applications of algebraic geometry and algebraic topology to these problems.+I am also interested in Seiberg-Witten theory, low dimensional topology and applications of algebraic geometry and algebraic topology to problems in differential geometry.
  
 ===== Publications ===== ===== Publications =====
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 [[https://doi.org/10.1016/j.jalgebra.2019.11.035|1) On the Complex Cayley Grassmannian]], Journal of Algebra 547 (2020) 519-537 [[https://doi.org/10.1016/j.jalgebra.2019.11.035|1) On the Complex Cayley Grassmannian]], Journal of Algebra 547 (2020) 519-537
 +
 +==== Accepted ====
 +
 +3) (joint with E. Windes) Two-Frame Fields on Simply Connected Spin 7-Manifolds - Proceedings of the 12th ISAAC Congress, March 2020
  
research/main.1577830633.txt.gz · Last modified: 2019/12/31 22:17 by ustun