People
Huang Guan

Assistant professor

Yau Mathematical Science Center, Tsinghua University

Office: Jin Chun Yuan West Bldg. 304

Email: huangguan@tsinghua.edu.cn         

Education

·2004 – 2008 Department of Mathematics, Nanjing University, China. Undergraduate program in pure and applied mathematics.

·2008 – 2010 Department of Mathematics, Nanjing University, China. Master program in pure mathematics. Mentor: CHENG Chongqing.

·2010 – 2014 Centre de Mathémathiques Laurent Schwartz, École Polytech[1]nique, France. PhD of Mathematics. Thesis: Une théorie de la moyenne pour les équations aux dérivées partielles nonlinéaires. Supervisor: Sergei KUKSIN.

Work Experience

·2017.8- present Yau Mathematical Sciences Center, Tsinghua University, Beijing, China. Tenure-track Assistant Professor.

·2014.8- 2017.7 Department of Mathematics, University of Maryland at College Park, United States of America. Brin Postdoctoral Fellowship. Mentor: Vadim KALOSHIN.

Awards and Grants

·2000 The second prize in the National Junior School Maths Contest.

·2003 The second prize in the National Senior School Physics Contest.

·2005-2007 The third prize of People Scholarship (each year).

·2008-2010 A-type Scholarship of Master students.

·2009 The prize of outstanding student leaders.

·2010-2014 CSC scholarship of Chinese government.

·2018-2022 NSFC (Significant project) No. 11790273 (member, personal share 0.6 million RMB).

·2018 Research Excellence Award (Ruolin Prize) in YMSC.

·2019-2022 1000 Talents program (junior), research fund 2 million RMB.

·2020 ICCM best paper award (gold medal).

·2020 Outstanding service prize for fighting Covid-19 in Tsinghua University.

·2022 Invited Speaker for the 9th International Congress of Chinese Mathematicians, 2022.

Publications

1 An averaging theorem for a perturbed KdV equation, Nonlinearity, 26: 1599- 1621, 2013.

2 An averaging theorem for nonlinear Schrödinger equations with small nonlin[1]earities, DCDS-A , 34(9), 3555-3574, 2014, arXiv:1312.0759.

3 On long-time dynamics of perturbed KdV equations, JDCS, 21(3): 379-400, 2015, arXiv:1310.5462.

4 KdV equation under periodic boundary conditions and its perturbations (with Sergei KUKSIN), Nonlinearity, 27(9), R61-R88, 2015, arXiv:1309.1597.

5 Long-time dynamics of resonant weakly nonlinear CGL equations, JDDE, 28, no.2 375-387 2016, arXiv: 1407.1156, DOI: 10.1007/s10884-014-9391-0.

6 Time-averaging for weakly nonlinear CGL equations with arbitrary potentials (with Sergei KUKSIN and Alberto MAOICCHI), Fields Institute Communica[1]tions, 75:323-349, 2015, arXiv: 1411.2143.

7 On energy transferring in a periodic pendulum lattice with analytic weak cou[1]plings, Annales Henri Poincaré, 18 (6): 2087-2121, 2017, DOI: 10.1007/s00023- 017-0561-6.

8 On the Marked Length Spectrum of Generic Strictly Convex Billiard Tables (with Vadim KALOSHIN and Alfonso SORRENTINO), Duke Mathematical Journal, 167 (1): 175 - 209, 2018 arXiv: 1603.08838.

9 Nearly Circular Domains Which Are Integrable Close to the Boundary Are Ellipses (with Vadim KALOSHIN and Alfonso SORRENTINO), GAFA, 28 (2): 334-392, 2018 arXiv:1705.10601.

10 On the finite dimensionality of integrable deformations of strictly convex inte[1]grable billiard tables (with Vadim KALOSHIN), Mosc. Math. J. 19, no. 2, 307-327, 2019.

11 On the energy transfer to high frequencies in the damped/driven nonlin[1]ear Schrödinger equation (with Sergei KUKSIN), Stoch PDE: Anal Comp https://doi.org/10.1007/s40072-020-00187-2, 2021, arXiv 2006.11518 .

12 On the integrability of strictly convex billiard tables with boundaries close to ellipses with small eccentricities, Acta Math Sinica English Series, 38(1), 55-67, 2022.

13 Averaging for stochastic perturbations of conservative systems, (with Sergei Kuksin and Andrey Piatnitsky), in final stage of preparation (manuscript avail[1]able upon request), 2022.

14 A New Mechanism for Non-collision Singularities (with J. Gerver and Jinxin Xue), preprint, submitted, arXiv 2202.08534, 2022.

15 On the existence of super-hyperbolic orbits in a planar four-body problem (with Jinxin Xue), in preparation (manuscript available upon request), 2022. 16 On uniform convergence of the Bogolyubov averaging for a stochastic weakly nonlinear CGL equation (with Sergei Kuksin), in the final stage of preparation (manuscript available upon request),2022.