Regular biography
Prof. Shing Tung YAU is affiliated with the Department of Mathematics at The Chinese University of Hong Kong. He holds the position of professor and is associated with the Institute of Mathematical Sciences. His research interests are not explicitly detailed in the provided information. Prof. YAU can be contacted via email at yau@ims.cuhk.edu.hk, and further details about his work can be found on his profile page at https://www.math.cuhk.edu.hk/people/academic-staff/yau.
Scholar-generated biography
Shing-Tung Yau is a renowned mathematician whose research spans differential geometry, complex geometry, and mathematical physics. His work includes significant contributions to the study of Kähler manifolds, the Ricci curvature, and the complex Monge-Ampère equation. Yau's research also addresses the positive mass conjecture, minimal surfaces, and the structure of manifolds with positive scalar curvature. He has made fundamental advances in the theory of harmonic functions, differential equations on Riemannian manifolds, and the existence of hermitian-Yang-Mills connections. His publications often intersect with mathematical physics, particularly in the context of string theory and mirror symmetry. Yau's work has had a profound impact on both pure and applied mathematics.