#international

 

I am looking forward to Innsbruck not only for its stunning mountains, scenic hiking trails, and beautiful spring atmosphere, but also for the sense of clarity and inspiration that such surroundings naturally bring, offering a perfect balance between focused research and moments of reflection in nature.

 

I am a guest professor at the University of Innsbruck to advance several research directions in the numerical analysis of kinetic and aggregation-diffusion equations. These topics have been actively pursued by researchers at Innsbruck, many of whom I have interacted with over the past few years. We have established collaborations with some of them, while others represent new potential partnerships. This visit provides an opportunity both to deepen existing collaborations and to initiate new ones for future research.

 

What fascinates me about academic research in applied mathematics is the ability to uncover common mathematical structures behind complex systems across disciplines. I am continually surprised by how large-scale many-particle systems, despite their complexity, can be effectively described by continuum models that reveal hidden macroscopic behavior. My research has deepened my understanding of how collective dynamics emerge from simple interactions, highlighting mathematics as a unifying language of science. What inspires me most is the challenge of developing models that are both mathematically rigorous and capable of capturing essential features of real-world phenomena.

 

In many ways, my journey began with exceptional teachers. Inspiring high school educators play a decisive role in nurturing mathematical talent, and I was fortunate to encounter exactly that. I owe a great deal to both my school and my university for providing such a strong foundation. Participating in local Mathematical Olympiad competitions was another turning point: it challenged me, motivated me, and ultimately convinced me that mathematics was not just a subject I enjoyed, but a path I wanted to pursue at the highest level.

 

Interdisciplinary collaboration is essential in academic research, as many complex problems span multiple fields and benefit from diverse expertise. I am particularly excited by current trends linking applied mathematics with data science and machine learning, especially in connecting microscopic models to macroscopic behavior. While international collaboration presents challenges such as differing research cultures and structures, it also drives innovation through intellectual diversity.