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Research
My current research interests are
(1) topology of phi-free submanifolds and strictly phi-convex domains in various calibrated manifolds
(2) geometry of phi-critical submanifolds with some explicit examples
(3) existence of symplectic 8-manifolds with Spin(7)-structure.
Research Grants
BAP grant (2016-2018).
Publications
  1. On symplectic 8-manifolds Admitting Spin(7)-structure, (with E. Yalçınkaya) Turk. J. Math. Volume 44, no. 5 (2020) 1792–1801

  2. A Note on the Gauss Maps of Cayley-free Embeddings into Spin(7)-manifolds, Diff. Geom. and Appl. Volume 61, December (2018), 1-8.

  3. h-principle and phi-free Embeddings in Calibrated Manifolds, Int. J. Math., 26, 1550052 (2015), (16p)

  4. Fiber structures of special (4 + 3 + 1) warped-like manifolds with Spin(7) holonomy, (with S.Uğuz) Int. J. Geom. Methods Mod. Phys. 11 no. 8, 1450076 (2014), (23p).

  5. A Note on Critical Values of Calibrations, Diff. Geom. and Appl. Volume 31, Issue 1 (2013), 29-32.

  6. Topology of Phi Convex Domains in Calibrated Manifolds, Bull. of the Brazilian Math. Soc. Volume 42, Number 2 (2011), 259-275

  7. Quaternionic Calibration and Its Critical Submanifolds, in preparation.

PhD Thesis
Phi-Critical Submanifolds and Convexity in Calibrated Geometry, advisor: H. Blaine Lawson, Jr., Stony Brook University, Department of Mathematics, December 2007.