About Me

I am a PhD candidate in Mathematics at the University of Kentucky. My research interests lie in applied mathematics, mathematical physics, and mathematical modeling in engineering. My current work focuses on the large-time asymptotics of solutions to the Kadomtsev-Petviashvili I (KP I) equation, in collaboration with Dr. Peter Perry (doctoral advisor) and Dr. Jiaqi Liu (Chinese Academy of Sciences). To the best of our knowledge, ours is the first rigorous result on KP I asymptotics by inverse scattering methods. Assuming small initial data, which excludes lump solutions, we determine the leading asymptotics in three distinct space-time regions, where the solution is constructed through the inverse scattering transform in the form of an oscillatory integral with a phase function that has either (1) no stationary points, (2) non-degenerate stationary points, or (3) a single degenerate stationary phase point.
My academic journey is rooted in an interdisciplinary background, combining mechanical engineering, physics, and mathematics. This unique blend of skills allows me to approach mathematical problems with a comprehensive perspective, integrating computational techniques with physical intuition. Looking forward, I aim to refine my current findings and expand my research to analyze other completely integrable systems and their long-time behavior using the inverse scattering transform and asymptotic analytic techniques, as well as explore their real-world applications.






You can access my CV here