Chenjie Fan's Homepage

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**#### Email: cjfanpku[at]gmail[.]com

I am an L.E. Dickson Instructor at the University of Chicago. My faculty mentor is Carlos Kenig. I obtained my PhD degree in MIT under the supervision of Gigliola Staffilani.
Here is my CV.

### Research Interest

- Nonlinear Dispersive PDE, Harmonic analysis, Stochastic PDE

### Publication and preprints:

My articles can be found on arXiv

A Wong-Zakai theorem for mass critical NLS. Joint with Weijun Xu, submitted.

Decay of the stochastic linear Schr\"odinger equation in $d\geq 3$ with small multiplicative noise. Joint with Weijun Xu, submitted.

Subcritical approximations to stochastic defocusing mass-critical nonlinear Schr\"odinger equation on $\mathbb{R}$. Joint with Weijun Xu, to appear in Journal of Differential Equations.

Global well-posedness for the defocusing mass-critical stochastic nonlinear Schr\"odinger equation on $\mathbb{R}$ at $L^{2}$ regularity, joint with Weijun Xu, submitted

Global well-posedness for the mass-critical stochastic nonlinear Schr\"odinger equation on $R$: small initial data, joint with Weijun Xu.

On a bilinear Strichartz estimate on irrational tori joint with Gigliola Staffilani, Hong Wang, Bobby Wilson, Analysis and PDE

The $L^{2}$ weak sequential convergence of radial mass critical NLS solutions with mass above the ground state ,International Mathematics Research Notices,

On a variational problem related to NLS on Hyperbolic space, joint with Peter Kleinhenz

Log-log blow up solutions blow up at exactly m points ,Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, Volume 34, Issue 6, November-December 2017, Pages 1429-1482

Convergence of eigenvalues to the support of the limiting measure in critical beta matrix models, joint with Alice Guionnet, and Yuqi Song, Andi Wang, Random Matrices: Theory and Applications

### Teaching and Grading:

2019 Basic ODE, 23700, lecturer.

2019 Analysis 20510, lecturer.

2019 Analysis 20500, lecturer.

2019 Analysis 20400, lecturer.

2019, Analysis 20400, lecturer.

2018, Analysis 20300, lecturer.

2018, Analysis 20500, lecturer.

2018, Analysis 20410, lecturer.

2017 Fall, Analysis 20400, lecturer.

2017 Fall, Analysis 20310, lecturer.

2016 Fall 18.02 Calculus, recitation instructor.

2016 Spring 18.02 Calculus, recitation instructor.

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2015 Spring 18.03 Differential Equations, recitation instructor.

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2014 Fall 18.303 Linear Partial Differential Equations, grader.

2013 Fall 18.303 Linear Partial Differential Equations, grader.