This is a research oriented course related to one of the following 3 areas in geometry: algebraic geometry, differential geometry, or even computational geometry. The topics can be different from year to year, depending on the instructors’ interest. The instructor can also discuss the materials from some current topics, or some topics in his or her research area. The instructor can develop the theory toward the geometric application as well.

CILO-1: Apply concepts of differential geometry of surfaces to solve problems. CILO-2: Apply concepts of the relationship of curvatures and topology of surfaces to solve problems. CILO-3: Apply concepts of the properties on metric in the form of differential equations to solve problems.