Research

Overview

Welcome to my research tab, where I invite you to explore my research journey at the intersection of control theory, physics, and neuroscience. Throughout my work, I have explored fascinating control theory applications in two distinct scientific domains: physics and neuroscience.

In physics, my past research centers around the null controllability of the parabolic, spherical Baouendi-Grushin equation. By investigating the controllability properties of this equation, I aimed to uncover valuable insights into controlling physical systems.

I have focused on the mathematical modeling of MacKay-type visual illusions in neuroscience. Specifically, my research has explored the visual MacKay effect and Billock and Tsou's psychophysical experiments. By controlling a one-layer Amari-type neural fields equation, we have sought to uncover the underlying neural mechanisms of these intriguing visual phenomena.