School of Mathematics

Univeristy of Minnesota

Vincent Hall,
206 Church St. SE

Minneapolis, MN 55455

**Office**: Vincent Hall 531

**Email**: zhan7294@umn.edu, zhangshiwen@math.msu.edu

I am a Postdoctoral Associate in the School of Mathematics and the Simons Collaboration on Localization of Waves at the Univeristy of Minnesota, to work with Svitlana Mayboroda. 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, Harmonic Analysis, Dynamical Systems, Geometric Measure Theory, Partial Differential Equations

**Education & Employment:** **
**

- 2019-present: Postdoctoral Associate, School of Mathematics

Univeristy of Minnesota&Simons Collaboration on Localization of Waves, Univeristy of Minnesota - 2016-2019: Visiting Assistant Professor, Department of Mathematics at the Michigan State University.
- 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.

**
**

- J. Schenker, Z. Tilocco and S. Zhang, Diffusion in the mean for a periodic Schrödinger equation perturbed by a fluctuating potential. Preprint. arXiv:1901.06598.
- S. Jitomirskaya,W. Liu and S. Zhang, Arithmetic spectral transitions: a competition between hyperbolicity and the arithmetics of small denominators. (
*Lecture Notes.) To appear in IAS/Park City Mathematics Series: Harmonic Analysis, 2018.* - F. Yang, S. Zhang, Singular continuous spectrum and generic full spectral/packing dimension for unbounded quasiperiodic Schrödinger operators.
*Submitted*. arXiv:1804.10732 - R. Han, F. Yang and S. Zhang, Spectral dimension for β-almost periodic singular Jacobi operators and the extended Harper's model.
*To appear in Journal d'Analyse Mathématique*. - S. Zhang,
*The exact power law for Buffon's needle landing near some random Cantor sets*. To appear in Rev. Mat. Iberoam. (Revista Matemática Iberoamericana). - R. Han, S. Zhang,
*Large deviation estimates and Hölder regularity of the Lyapunov exponents for quasi-periodic Schrödinger cocycles*. To appear in Int. Math. Res. Not. - S. Zhang,
*Mixed spectral types for one frequency discrete quasi-periodic Schrödinger operator*. Proc. Amer. Math. Soc.**144**(2016), 2603-2609. - S. Jitomirskaya, S. Zhang,
*Quantitative continuity of singular continuous spectral measures and arithmetic criteria for quasiperiodic Schrödinger operators*.*Submitted*. arXiv:1510.07086. - J. You, S. Zhang and Q. Zhou,
*Point Spectrum of the Quasi-Periodic Long Range Operators*. J. Spectr. 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 Dynam. Systems****34****(2014), 1395-1408.**- S. Zhang, Z. Zhao,
*Diffusion Bound and Reducibility for Discrete Schrödinger Equations with Tangent Potential*. Front. Math. China**7**(2012), 1213-1235

- (together with Ilya Kachkovskiy and Matthew Cha), AMS Fall Central Sectional Meeting 2018, Special Session "Ergodic and topological quantum systems", Ann Arbor, October 20-21, 2018.

- Analysis Seminar Talk, Yale University, CT, Spetember 28, 2018
- Dynamical Systems Seminar Talk, Tsinghua University, China, May 23, 2018
- Ergodic Theory and Spectral Theory Seminar Talk, UCR, May 18, 2018
- Dynamical Systems Seminar Talk, MSU, March 1, 2018.
- Dynamical Systems Seminar Talk, Nanjing University, Nanjing, China. July 27, 2017.
- Analysis and PDE Seminar Talk, MSU. Oct 31, 2016.
- Dynamical Systems and Fractal Geometry Seminar Talk, Mathematics Morningside center, CAS, Beijing, China. May 22, 2015
- Dynamical Systems Seminar Talk, Nanjing University, Nanjing, China. July 20, 2014.
- Geometry-Analysis Seminar Talk, Rice University, Houston, Texas. April 23, 2014.

- Joint Mathematics Meetings AMS Special Session on Localization and Delocalization for Disordered Quantum Systems, Baltimore Convention Center, January 18-19, 2019.
- Spectral Theory of Quasi-Periodic and Random Operators, CRM, Montreal, November 12-16, 2018.
- Recent Advances in Functional Analysis-dedicated to the memory of Joe Diestel and Victor Lomonosov, poster session, Kent State University, October 11-14, 2018.
- Young Researchers Symposium at ICMP, McGill University, Montreal 07/21/2018
- 28th Annual PCMI Summer Session: Research Program in Harmonic Analysis, Park City, Utah, July 1 – July 21, 2018.
- Special Session on ``Spectral Theory'' at the AMS sectional meeting, Portland, OR, April 14-15, 2018
- 8th Ohio River Analysis Meeting, University of Kentucky, Lexington, March 24-25, 2018
- Special Session on Spectral Theory, Disorder and Quantum Physics at the JMM, San Diego, CA, Jan 10-13, 2018
- Recent Developments in Harmonic Analysis, MSRI, Berkeley, CA 05/15-05/19/2017
- 7th Ohio River Analysis Meeting, University of Cincinnati 03/25/2017
- Introductory Workshop: Harmonic Analysis, MSRI, Berkeley, CA 01/23-01/27/2017
- 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

- Math. Department Colloquium, Oberlin College, Oberlin, OH. 09/20/2018
- 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

- Kovalevsky Outstanding PhD Thesis Award, UC Irvine 2016
- Euler Award for Outstanding Promise as a Graduate Student, UC Irvine 2014
- Samsung Scholarship, Nanjing University, China 2007
- National Encouragement Scholarship, Nanjing University, China 2006

*Undergrad Rsearch Program*at MSU (part of the Discovering America Program of math department at MSU) on*Landscape theory*, Fall 2018, Spring 2019. Project website (under construction).- Teaching Assistant for lectures by Svetlana Jitomirskaya at the PCMI Graduate Summer School on Harmonic Analysis, Park City, July 2018:
*Arithmetic spectral transitions: a competition between hyperbolicity and the arithmetics of small denominators*, July 8–14, 2018

- Spring 2019, Math 309. Class Webpage.
- Fall 2018, Math 132. Class Webpage.
- Spring 2018, Math 132. Class Webpage.
- Fall 2017, Math 133. Class Webpage.
- Spring 2017, Math 132. Class Webpage.
- Fall 2016, Math 133. Class Webpage.

- 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/Econ135: Math of Finance (Summer Session II, 2015) -
Fall 2014, UC Irvine:
**TA**Math 2B: Calculus II