Research Interests
Mathematical Physics, Spectral Theory, Dynamical Systems, Harmonic Analysis, Partial Differential EquationsEducation
- Ph.D. Mathematics (2013-2016), University of California, Irvine — Irvine, CA
(2009-2013) Nanjing University, China. (Transfer to UC Irvine in Sept. 2013) - B.S. Mathematics (2005-2009), Nanjing University, China
Selected Awards and Honors
Kovalevsky Outstanding PhD Thesis Award (2016), UC IrvineSelected Publications
- Arnold, D.N., Filoche, M., Mayboroda, S., Wang, W., Zhang, S. (2022). The landscape law for tight binding Hamiltonians. Communications in Mathematical Physics, 1-53
- Han, R., Zhang, S. (2022). Large deviation estimates and H¨older regularity of the Lyapunov exponents for quasi-periodic Schrodinger cocycles. International Mathematics Research Notices 2022, 3, 1666-1713.
- Jitomirskaya, S., Zhang, S. (2021). Quantitative continuity of singular continuous spectral measures and arithmetic criteria for quasiperiodic Schrodinger operators. Journal of the European Mathematical Society 24, 5, 1723-1767.