Surface geometry is a branch of mathematics that deals with the study of shapes and curves on surfaces. It involves understanding the curvature, topology, and other geometric properties of surfaces in three-dimensional space. Research in surface geometry often focuses on developing mathematical models and algorithms to analyze and manipulate surfaces, with applications in computer graphics, computer-aided design, robotics, and other fields. This area of research is interdisciplinary, drawing on concepts from differential geometry, topology, computational geometry, and other areas of mathematics.