Education

• 2006-2010 B.S. in Mathematics, Peking University.

• 2010-2015 Ph.D in Mathematics, University of California, Berkeley.

Thesis advisor: Maciej Zworski.

Thesis title: Scattering Resonances for Convex Obstacles.

Work Experience

• 2015-2016 Postdoc Research Fellow, CMSA, Harvard University

• 2016-2018 Golomb Visiting Assistant Professor, Purdue University

• 2018-Now Assistant Professor, YMSC, Tsinghua University

Publications

• Resonance-free region in scattering by a strictly convex obstacle, Ark. Mat. 52(2014), 257-289.

• Scattering resonances of convex obstacles for general boundary conditions, Comm.Math. Phys. 335 No. 2 (2015), 759-807.

• Semiclassical Cauchy estimates and applications, Trans. AMS. 369 (2017), 975-995.

• (With Maciej Zworski) A local trace formula for Anosov flows, with appendices by Fr´ed´eric Naud, Annales Henri Poincar´e 18 (2017), 1-35.

• (With Semyon Dyatlov) Resonances for open quantum maps, Comm. Math. Phys. 354 No. 1 (2017), 269-316.

• (With Semyon Dyatlov) Dolgopyat’s method and the fractal uncertainty principle, Analysis &PDE 11 No. 6 (2018), 1457-1485.12

• (With Semyon Dyatlov) Semiclassical measures on hyperbolic surfaces have full support, Acta Math. 220 (2018), 297-339.

• Control for Schr¨odinger equation on hyperbolic surfaces, Math. Res. Lett. 25

(2018), No. 6, 1865-1877.

• (With Ruixiang Zhang) Fractal uncertainty principle with explicit exponent, Math. Ann. 376 (2020), 1031-1057.

• Damped wave equation on compact hyperbolic surfaces, Comm. Math. Phys. 373 No. 3 (2020), 771-794.

• (With Kiril Datchev) Exponential lower resolvent bounds far away from trapped sets, J. Spectr. Theory 10, No. 2 (2020), 617-649.

• Quantum chaos and fractal uncertainty principle, to appear in Proceedings of ICCM.