# Faculty

## Xuwen Chen

*Associate Professor of Mathematics*

PhD, University of Maryland, 2012

1018 Hylan Hall

(585) 276-7857

xuwenchen@rochester.edu

Office Hours: By appointment

### Biography

I am a Tenure-track Assistant Professor in the Department of Mathematics at University of Rochester. Prior to coming to Rochester, I served as a Tamarkin Assistant Professor at Brown University. I received my PhD in Mathematics from University of Maryland – College Park in 2012.

My papers can be found on arXiv. Here is my Google Scholar page.

### Courses Offered (subject to change)

- MTH 164: Multidimensional Calculus
- MTH 265H: Functions of a Real Variable (Honors)

### Selected Publications

#### Research Papers and Preprints

- (with Justin Holmer) The Rigorous Derivation of the 2D Cubic Focusing NLS from Quantum Many-body Evolution, accepted with minor revision to
*International Mathematics Research Notices*, arXiv:1508.07675. - (with Walter Strauss) Convergence to Equilibrium of a Body Moving in a Kinetic Sea,
*SIAM Journal on Mathematical Analysis*47 (2015), no. 6, 4630-4651. DOI: 10.1137/15M1035549. (arXiv:1508.03842) - (with Yan Guo) On the Weak Coupling Limit of Quantum Many-body Dynamics and the Quantum Boltzmann Equation, Kinetics and Related Model 8 (2015), no. 3, 443-465. DOI: 10.3934/krm.2015.8.443. (arXiv:1412.1775)
*(with Justin Holmer) Correlation structures, Many-body Scattering Processes and the Derivation of the Gross-Pitaevskii Hierarchy*,**International Mathematics Research Notices**(2015), 60pp. DOI: 10.1093/imrn/rnv228. (arXiv:1409.1425).*(with Justin Holmer) Focusing Quantum Many-body Dynamics II: The Rigorous Derivation of the 1D Focusing Cubic Nonlinear Schrödinger Equation from 3D, submitted*, arXiv:1407.8457.*(with Paul Smith) On the Unconditional Uniqueness of Solutions to the Infinite Radial Chern-Simons-Schrödinger Hierarchy*,**Analysis & PDE 7**(2014), no. 7, 1683-1712. DOI: 10.2140/apde.2014.7.1683. (arXiv:1406.2649).*(with Walter Strauss) Velocity Reversal Criterion of a Body Immersed in a Sea of Particles*,**Communications in Mathematical Physics 338**(2015), no. 1, 139-168. DOI: 10.1007/s00220-015-2368-y. (arXiv:1404.0652).*(with Justin Holmer) Focusing Quantum Many-body Dynamics: The Rigorous Derivation of the 1D Focusing Cubic Nonlinear Schrödinger Equation, submitted*, arXiv:1308.3895.*(with Walter Strauss) Approach to Equilibrium of a Body Colliding Specularly and Diffusely with a Sea of Particles*,**Archive for Rational Mechanics and Analysis 211**(2014), no. 3, 879-910. DOI: 10.1007/s00205-013-0675-z. (arXiv:1305.5219)*(with Justin Holmer) On the Klainerman-Machedon Conjecture of the Quantum BBGKY Hierarchy with Self-interaction, to appear in***Journal of the European Mathematical Society**. (arXiv:1303.5385).

### Grants

- NSF DMS-1464869 2015 - 2018
- AMS-Simons Travel Grant 2013 - 2015