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 elastic curves.

Morse Index of Minimal Surfaces

Together with Hung Tran and Alvaro Pampano, I conduct research on index characterization for free boundary minimal surfaces in various ambient spaces. Our work aims to deepen the understanding of the Morse index and the geometric properties of minimal surfaces in different contexts.