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
• Stability of cmc surfaces in hyperbolic space
• Conformal trajectories
• The hanging chain problem
• Stability of cylinder in capillary problems: the Plateau-Rayleigh instability phenomenon
• Surfaces with prescribed mean curvature depending on the Gauss map
• Geometric aspects in architecture
• Constant speed ramps
• Harmonic evoutes in Lorentz-Minkowski space
• Surfaces with a semi-symmetric non-metric connection