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| Yau, Horng-Tzer | |
|---|---|
| Name | Horng-Tzer Yau |
| Birth date | 1959 |
| Birth place | Taiwan |
| Fields | Mathematics, Probability Theory, Mathematical Physics |
| Workplaces | Harvard University, Stanford University, Courant Institute, University of California Berkeley |
| Alma mater | National Taiwan University, Stony Brook University |
| Doctoral advisor | S. R. S. Varadhan |
Yau, Horng-Tzer is a Taiwanese-American mathematician known for foundational work in probability theory, statistical mechanics, and random matrix theory. His research has connected rigorous analysis in PDE to problems in Statistical mechanics, Random matrix theory, and Interacting particle systems, influencing scholars across Harvard University, Stanford University, and the Courant Institute. Yau has collaborated with, mentored, and influenced figures associated with S. R. S. Varadhan, Terence Tao, Elliott Lieb, Persi Diaconis, and institutions such as Institute for Advanced Study and Mathematical Sciences Research Institute.
Yau was born in Taiwan and completed undergraduate studies at National Taiwan University where he engaged with professors connected to Academia Sinica, National Tsing Hua University, and National Chung Cheng University. He pursued graduate studies at Stony Brook University under the supervision of S. R. S. Varadhan and took part in seminars linked to Courant Institute and Princeton University. His doctoral work intersected themes explored by researchers at IBM Research, Bell Labs, and the American Mathematical Society community.
Yau's research spans rigorous derivation of macroscopic equations from microscopic models, exploration of universality in eigenvalue statistics, and hydrodynamic limits for interacting particles. He contributed to deriving the Boltzmann equation and establishing links between Kardar–Parisi–Zhang equation universality and random matrix theory, collaborating with authors working on Tracy–Widom distribution, Wigner matrices, and Dyson Brownian motion. His work addressed mixing and convergence rates in models studied by Oded Schramm, Gábor Pete, and Grigori Perelman, and developed techniques used in analyses at Bell Labs, Los Alamos National Laboratory, and Microsoft Research. Yau's results influenced approaches to the Ising model, Heisenberg model, and stochastic PDEs connected to research at Courant Institute and Massachusetts Institute of Technology.
Yau has held faculty and visiting positions at Harvard University and Stanford University and served on committees at the Courant Institute and University of California, Berkeley. He has been affiliated with research programs at the Institute for Advanced Study, the Mathematical Sciences Research Institute, and international centers such as Centre for Mathematical Sciences (Cambridge) and IHÉS. Yau participated in collaborative projects with researchers from Princeton University, Columbia University, Yale University, Brown University, and labs including Los Alamos National Laboratory and Lawrence Berkeley National Laboratory.
Yau's honors include memberships and prizes from organizations such as the National Academy of Sciences, the American Academy of Arts and Sciences, and national academies linked to Academia Sinica and Taiwan. He has received awards from bodies like the Alan T. Waterman Award-class organizations, recognition at conferences by the International Congress of Mathematicians, and fellowships associated with the MacArthur Fellows Program-style honors and prizes granted by the National Science Foundation. He has been invited to give plenary and invited talks at meetings of the American Mathematical Society, the Society for Industrial and Applied Mathematics, and the European Mathematical Society.
Yau authored and coauthored influential papers and monographs on hydrodynamic limits, random matrices, and stochastic processes, appearing in journals allied with the Annals of Mathematics, the Communications in Mathematical Physics, and the Journal of the American Mathematical Society. He has supervised doctoral students who went on to positions at Harvard University, Princeton University, Stanford University, Columbia University, and research institutes like the Institute for Advanced Study and Microsoft Research. Collaborators include scholars from Princeton University, Massachusetts Institute of Technology, University of Chicago, and École Normale Supérieure.
Yau's techniques and theorems shaped subsequent work on universality and hydrodynamic limits undertaken at centers such as the Mathematical Sciences Research Institute and the Institute for Advanced Study, and influenced researchers including Terence Tao, Persi Diaconis, Elliott Lieb, Michel Ledoux, and Jean Bourgain. His legacy is evident in contemporary studies of the Kardar–Parisi–Zhang equation, Tracy–Widom distribution, and in the training of mathematicians now at Harvard University, Stanford University, Princeton University, University of California, Berkeley, and international institutions like Peking University and Tsinghua University.
Category:Living people Category:Taiwanese mathematicians Category:Probability theorists