The Geometry, Topology, and Applications Research Group (GTA) is focused on the study of geometric and topological structures of spaces, their applications, as well as the relationships between these structures and other areas of mathematics. Geometry is the branch of mathematics that deals with the properties and relationships of points, lines, angles, surfaces, and solids. Topology, on the other hand, is the study of the properties of objects that are preserved under continuous transformations, such as stretching, bending, and twisting. Both fields are fundamental to many areas of mathematics and have numerous applications in science, engineering, and computer science. The GTA research group explores a variety of topics within geometry and topology, including algebraic geometry, differential geometry, algebraic topology, low-dimensional topology, symplectic topology, and homotopy theory. Applications of these fields include in the study of topological data analysis, robotics, computer vision, image and signal processing, data science, and machine learning. GTA members collaborate with researchers from other disciplines to apply geometric and topological methods to problems in these areas.

Members: Dr. Mark Lexter D. De Lara, aProf. Jcob C. Malaguit aProf. Jessa Camille C. Duero, aProf. Marc Aaron F. Julian