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Name: Yadana YU NAING
Current position: PhD student (Project Assistant) at ASC
Research group: Computational Mathematics (Prof. Jens Markus MELENK)
Starting date: Sept 2023
Dissertation topic: Weighted Analytic Regularity for Nonlinear Fractional Diffusion Problem

The core aim of my PhD topic is to provide weighted analytic regularity estimates for the solution of nonlinear fractional diffusion problems that capture both the interior analyticity of the solution and its anisotropic behaviour near the boundary. These analytical results play a crucial role in establishing exponential convergence of hp-Finite Element Methods on geometrically refined meshes, contributing to the theoretical foundation for the efficient numerical approximation of fractional and nonlinear partial differential equations. 

I grew up in Myanmar, where mathematics was always my favorite subject from a young age. My strong interest in the subject motivated me to pursue a Bachelor’s degree in Mathematics. After my undergraduate studies, I was fortunate to receive a full scholarship to pursue a Master’s degree in Busan, South Korea. It was a significant shift in my academic and personal life, exposing me to a more research-oriented environment and broadening my perspective on mathematical topics. During my master’s studies, my research centered on regularity theory for Elliptic PDEs, and it was during this time that I became interested in how mathematical theory connects with computation. Motivated to explore new areas at the intersection of analysis and computation, I moved to Austria to begin my PhD at TU Wien. The transition was challenging during the first year; building a deeper understanding of numerical methods and computational techniques, which were new to me. However, thanks to a supportive work environment and encouraging colleagues, I gradually adapted and became more confident in my work.

Moving from Myanmar to South Korea and later to Austria required not only academic adjustments, but also learning to navigate everyday life. One of the greatest challenges throughout my journey has also been adapting to new languages and cultures. Communication barriers, differences in teaching styles, and cultural expectations often pushed me out of my comfort zone, but it also encouraged me to grow as a person.

At this stage, I have not planned my long-term future in detail. My main focus is to complete my PhD and carry out research that contributes meaningfully to the mathematical and scientific community. I would love it if, during my future career, I would receive the opportunity to teach and invoke passion for mathematics in my students. I hope that the skills and knowledge I develop during my doctoral studies will support my future career, whether I continue in academia or move into industry.