##### 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