Please note: this is a legacy homepage which is no longer updated (including contact details). I have moved to Michigan State University since Aug 2016.
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Shiwen Zhang
Department of Mathematics
Michigan State University
619 Red Cedar Road
East Lansing, MI, 48824
Office: Wells Hall C320
Email: zhangshiwen@math.msu.edu
I am a postdoc in the Department of Mathematics at the Michigan State University. I earned my Ph.D. in Mathematics at UC, Irvine in June 2016 under my dissertation advisor: Svetlana Jitomirskaya. Here is my curriculum vitae: CV.
Research Interests:
Mathematical Physics, Spectral Theory of Schrödinger Operators, Differential
Equations, Dynamical Systems and Ergodic Theory
Education:
- 2013-2016: Ph.D. Mathematics, University of California, Irvine — Irvine, CA
- 2009-2013: graduate student in Mathematics, Nanjing University, China. (Transfer to UC Irvine in Sept. 2013)
- 2005-2009: B.S. Mathematics, Nanjing University, China.
Preprints/Publications:
- S. Jitomirskaya, S. Zhang, Quantitative continuity of singular continuous spectral measures and arithmetic criteria for quasiperiodic Schrödinger operators. arXiv:1510.07086.
- S. Zhang, Mixed spectral types for one frequency discrete quasi-periodic Schrödinger operator.
Proc. Amer. Math. Soc. 144 (2016), 2603-2609.
- J. You, S. Zhang and Q. Zhou, Point Spectrum of the Quasi-Periodic Long
Range Operators. Journal of Spectral Theory 4 (2014), 769-781.
- J. You and S. Zhang, Hölder continuity of the Lyapunov exponent for
analytic quasiperiodic Schrödinger cocycle with
weak Liouville frequency. Ergodic Theory and Dynamical Systems 34 (2014), 1395-1408.
- S. Zhang, Z. Zhao, Diffusion Bound and Reducibility for Discrete Schrödinger Equations with Tangent Potential. Frontiers of Mathematics in China 7 (2012), 1213-1235
Invited Conference Talks:
- AMS Special Session at the Joint Mathematics Meeting, Seattle, WA, Jan 6-9, 2016
- AMS Fall Western Sectional Meeting, Fullerton, CA, Oct 24-25, 2015
- Workshop: Spectral Properties of Quasicrystals via Analysis, Dynamics, and Geometric Measure Theory, BIRS, Oaxaca, Mexico, Sept 27-Oct 2, 2015
- Almost Periodic and Other Ergodic Problems, University of Cambridge, UK, Mar 20-May 20, 2015
- 33nd Annual Western States Mathematical Physics Meeting, Caltech, Pasadena, CA, Feb 16-17, 2015
- Special Session at the USA-Uzbekistan Conference on Analysis and Mathematical Physics, CSUF, Fullerton ,CA, May 20-24, 2014
Invited Seminar Talks:
- Dynamical Systems and Fractal Geometry Seminar, Mathematics Morningside center, CAS, Beijing, China. May 22, 2015
- Dynamical Systems Seminar, Nanjing University, Nanjing, China. July 20, 2014.
- Geometry-Analysis Seminar, Rice University, Houston, Texas. April 23, 2014.
Teaching/General audience Talks:
- Department seminar, Loyola Marymount University, Los Angeles, CA. Nov 5, 2015
- Colloquium at CSULB, Long Beach, CA. Mar 13, 2015
- Geometry and Topology Seminar, CSUF, Fullerton, CA. Feb 20, 2015
Talks at UCI:
- Ergodic Schrödinger Operators Learning Seminar: Examples of Discontinuity of Lyapunov Exponent I,II. Feb 6, 13, 2015.
- Ergodic Schrödinger Operators Learning Seminar: Large Deviation Theory I,II. Nov 7,14, 2014.
- Math Physics Seminar: Spectral Packing Dimension. April 17, 2014
- Ergodic Schrödinger Operators Learning Seminar: Kotani Theory I,II,III. Nov 8,15,22, 2013.
- Math Physics Seminar: Point spectrum for quasi-periodic long range operators. Nov 17, 2013.
Teaching:
- Fall 2016, MSU: Instructor Math 133, Calculus II.
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- Winter 2015, UC Irvine: TA Math 3D, Elementary Differential Equation.
- Fall 2015, UC Irvine: Instructor for Math 2B, Calculus II. Course Webpage
- Summer 2015, UC Irvine: TA
Math 176/Econ35: Math of Finance (Summer Session II, 2015)
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Fall 2014, UC Irvine: TA Math 2B: Calculus II