Shuanglin Shao-数学中心
Shuanglin Shao

Professors:Shuanglin Shao

Name:Shuanglin Shao
Title:East Lake Professor in Mathematics
Professor Shao earned his PhD from the University of California, Los Angeles. Most recently he served at the Institute for Mathematics and its Applications at the University of Minnesota. His research interests are harmonic analysis and partial differential equations.
Educational background:
Ph.D. Mathematics, University of California, Los Angeles (UCLA), 2008.
Advisor: Terence Tao.

M.S. Mathematics, Beijing Normal University, 2004.
Advisor: Ding Yong, Lu Shanzhen.

B.S. Mathematics, Beijing Normal University, 2001.
Work experience:
The University of Kansas, 2011– present.
The Institute for Mathematics and its Applications at the University of Minnesota, 2009–2011.
The Institute for Advanced Study, 2008–2009.
Research fields:
Harmonic Analysis, Partial Differential Equations (PDE)
Scientific achievements:
1. S. Kwon and S. Shao. Nonexistence of soliton-like solutions for defocusing generalized KdV equations,
Electronic JDE., 2015 (51):1–5.
2. M. Christ and S. Shao. On the extremisers of an adjoint Fourier restriction inequality. Advances in
Mathematics, 230(3), 957– 977, 2012.
3. M. Christ and S. Shao. Existence of extremals for a Fourier restriction inequality. Analysis & Partial
Differential Equations, 5(2): 261–312, 2012.
4. D. Hundertmark and S. Shao. Analyticity of extremisers to an Airy Strichartz inequality. Bulletin of
London Mathematical Society, 44 (2): 336–352, 2012.
5. R. Killip, S. Kwon, S. Shao, and M. Visan. On the mass-critical generalized KdV equation. Discrete
and Continuous Dynamical System-Series A, 32 (1): 191–221, 2012.
6. B. Pausader and S. Shao. The mass critical fourth-order Schrödinger equation in high dimensions.
Journal of Hyperbolic Differential Equations, 7(4): 651–705, 2010.
7. J. Jiang, B. Pausader, and S. Shao. The linear profile decomposition for the fourth order Schrödinger
equation. Journal of Differential Equations, 249:2521–2547, 2010.
8. C. Miao, S. Shao, Y. Wu, and G. Xu. The low regularity global solution for the critical generalized
KdV equation. Dynamics of Partial Differential Equations, 7(3):265–288, 2010.
9. S. Shao. The linear profile decomposition for the Airy equation and the existence of maximizers for
the Airy Strichartz inequality. Analysis & Partial Differential Equations, 2(1):83–117, 2009.
10. S. Shao. Maximizers for the Strichartz and the Sobolev-Strichartz inequalities for the Schrödinger
equation. Electronical Journal of Differential Equations, No. 3:1–13, 2009.
11. S. Shao. Sharp linear and bilinear restriction estimates for paraboloids in the cylindrically symmetric
case. Revista Matemática Iberoamericana, 25(3):1127–1168, 2009.
12. S. Shao. A note on the cone restriction conjecture in the cylindrically symmetric case. Proceedings of
the AMS, 137(1):135–143, 2009.
13. Y. Ding, S. Lu, and S. Shao. Integral operators with variable kernels on weak Hardy spaces. Journal
of Mathematical Analysis and Applications, 317(1):127–135, 2006.
14. Y. Ding, C. Lin, and S. Shao. On the Marcinkiewicz integral with variable kernels. Indiana University
Mathematics Journal, 53(3):805–821, 2004.