I have moved to Google Brain. Here is my new website.I am a Hans Rademacher Instructor of Mathematics at the University of Pennsylvania. Starting from this July, I will be a research resident in Google Brain. I received my PhD from University of Illinois at Urbana-Champaign and my BA from Zhejiang University, Hangzhou, China. Here is my CV.
My research area is Harmonic analyis: multilinear operators, oscillatory integrals, singular Radon-like transforms, time-frequency analysis and resolution of singularities; see my research statement for more details.
Higher decay inequalities for multilinear oscillatory integrals, with M. Gilula and P.T. Gressman, arXiv:1612.00050, submitted.
Endpoint estimates for one-dimensional oscillatory integral operators , arXiv:1602.05663, Adv. in Math., to appear.
Sharp Estimates for Trilinear Oscillatory Integrals and an Algorithm of Two-dimensional Resolution of Singularities, Rev. Mat. Ibero., 33, No. 1 (2017), 67-116.
Maximal Decay Inequalities for Trilinear Oscillatory Integrals of Convolution Type, with P.T. Gressman, J. Func. Anal., 271, No. 12 (2016), 3695 -3726.
Bilinear Hilbert Transforms Associated with Plane Curves, with J. Guo, J. of Geom. Anal., 26 (2016), no. 2, 967-995.
Uniform Estimates for Bilinear Hilbert Transforms and Bilinear Maximal Functions Associated to Polynomials, with X. Li, Amer. J. Math., 138, No. 4 (2016), 907-962.
Current teaching at Penn
|2017 Spring||Math 313||Computational linear algebra|
|2016 Fall||Math 361||Advanced calculus II|
|2016 Fall||Math 240||Calculus III|
Past teaching at Penn
|2016 Spring||Math 360||Advanced calculus|
|2016 Spring||Math 104||Calculus I: active learning|
|2015 Fall||Math 410||Complex Analysis|
|2015 Spring||Math 313||Computational linear algebra|
|2014 Fall||Math 114||Calculus II|
|2014 Fall||Math 420||Differential Equations|
Teaching at UIUC
|2013 Fall||Math 231||Calculus II||(discusstion)|
|2013 Spring||Math 234||Calculus for business||(discusstion)|
|2012 Fall||Math 220||Calculus||(discusstion)|
Department of Mathematics
David Rittenhouse Lab.
209 South 33rd Street
Philadelphia, PA 19104-6395.
Office: DRL 3N4C
Email: xle at math.upenn.edu