Research Interest

I am a mathematician specializing in differential geometry. My current research focuses on two main problems:

Generalized p-Elastic Curves

In collaboration with Alvaro Pampano and Hung Tran, we are investigating the generalized p-elastic curves. Our research focuses on the closure conditions of 2-space forms and the stability of these curves. Additionally, we are exploring various properties of generalized p-elastic curves.

Morse Index of Minimal Surfaces

Together with Hung Tran and Alvaro Pampano, we are examining the Morse index of minimal surfaces in different ambient spaces. This research aims to deepen our understanding of the Morse index and some geometric properties of minimal surfaces across various contexts.