Horng-Tzer Yau

Horng-Tzer Yau is a Professor in the Department of Mathematics at Harvard University's Faculty of Arts and Sciences, globally recognized as a leading probabilist and mathematical physicist. His foundational work bridges probability theory, quantum mechanics, and statistical physics.

His core research spans:

• Random Matrix Theory (proving bulk universality of local spectral statistics for all symmetry classes)
• Quantum dynamics of many-body systems
• Hydrodynamical limits in statistical physics
• Eigenvector statistics with applications to disordered systems
• Spectral properties of random graphs
• Universality phenomena in complex systems

Yau's landmark collaboration with L. Erdős resolved random matrix theory's central challenge—bulk universality—later extended to eigenvector delocalization (with P. Bourgade) and random graph spectra (with R. Bauerschmidt, A. Knowles, J. Huang). His methodology uniquely adapts statistical physics tools to quantum dynamics problems, creating new analytical frameworks.

As an active researcher, Yau maintains extensive collaborations across mathematical physics, driving progress in spectral analysis and universality conjectures. His work underpins advances in quantum computing and condensed matter theory, supported by major funding bodies like the Simons Foundation.