First, as a new research degree student at the beginning of my academic journey, I hope to gain insights from Shaw Laureates about navigating the challenges through research journey. Their insights on developing research questions, maintaining focus while exploring connections, and balancing theoretical work with applications would be invaluable as I establish my own research identity and methodology.

Second, I'm particularly interested in learning how established scientists navigate cross-disciplinary collaboration. How do mathematicians effectively communicate with biologists to ensure theoretical work addresses real-world needs? The Forum's structure of seminars, discussion groups, and poster sessions provides an ideal environment to explore these questions. Exposure to diverse scientific perspectives would help me identify unexplored intersections between my mathematical focus and other fields. These connections could open new research directions I haven't yet considered.

As a student focused on statistical machine learning, I'm drawn to how scientific applications have advanced machine learning models, such as flow matching. The bidirectional relationship between mathematics and biology--where biological challenges inspire mathematical innovations and vice versa--represents the kind of interdisciplinary exchange I hope to deepen through the Hong Kong Laureate Forum.

My research interest lies in the geometric foundations of modern generative modeling through the lens of optimal transport theory and gradient flows in Wasserstein space. I am fascinated by how probability distributions evolve during optimization processes, providing a unified mathematical framework for understanding diverse generative approaches. I'm particularly drawn to particle-based variational inference methods that leverage interacting particle systems to approximate complex distributions. These approaches offer computational advantages while maintaining theoretical guarantees rooted in optimal transport, presents exciting research opportunities I'm eager to explore.