## Areas of research |

The field of my study is "differential geometry", especially, minimal surfaces, constant mean curvature surfaces in Euclidean space and other ambient spaces. This research lies in the so-called "classical differential geometry" and some of the objects are interesting in Physics and Chemistry. A short descriptions of some of the topics of my interest are:

- Constant mean curvature surfaces in Euclidean space and hyperbolic space with prescribed boundary
- The Dirichlet problem for the constant mean curvature equation in Euclidean space and hyperbolic space
- Cyclic surfaces (surfaces foliated by circles) with constant curvature in different ambient spaces
- Compact spacelike surfaces in Lorentz-Minkowski space with constant mean curvature
- The Dirichlet problem for the constant mean curvature equation in Lorentz-Minkowski space
- Linear Weingarten surfaces in Euclidean space and hyperbolic space
- Surfaces in Euclidean space modeling rotating liquid drops
- Slant helices in Minkowski space
- Constant angle surfaces in Minkowski space and some homogenous spaces
- Geometry and stability of capillary surfaces whose boundary lies in symmetric boundary supports
- Translation surfaces with constant curvature
- Bifurcation and stability results for cmc surfaces and capillary surfaces
- Convexity of the solutin of the cmc equation
- Constant mean curvature surfaces in the stedy state space
- Existence of minimal surfaces in Euclidean and Minkowski space via the Björling problem
- Translating solitons: invariant surfaces and compact solitons
- Minimal singular surfaces: invariant surfaces and compact surfaces