Xiaodan Zhou

Prof Xiaodan Zhou
Xiaodan Zhou
Assistant Professor (Adjunct)
Ph.D., University of Pittsburgh, 2016
B.S., Beijing Normal University, 2011
xiaodan.zhou
China

Professional Experience

  • (Adjunct) Assistant Professor, OIST, January 2020 to Present
  • Post-Doctoral Scholar, Worcester Polytechnic Institute, 2016-2020
  • Teaching/Research Assistant, University of Pittsburgh, 2011-2016

Awards

  • AMS-Simons Travel Grant, 2017-2019
  • WPI Women's Impact Network Grant for organizing the the Advancing Women's Impact in Mathematics Symposium, New England (AWIMS), April 7, 2018
  • Thomas C. Hales Distinguished Research Award 2016, University of Pittsburgh

Select Publications

  • Absolutely continuous functions on compact and connected one-dimensional metric spaces, Ann. Acad. Sci. Fenn. Math. Volumen 44, (2019), 281-291.
  • Strong comparison principle for p-harmonic functions in Carnot-Caratheodory spaces, (with L. Capogna), Proc. Amer. Math. Soc. 146 (2018), no. 10, 4265-4274.
  • Sobolev functions in the critical case are uniformly continuous in s-Ahlfors regular metric spaces when s less than or equal to one, Proc. Amer. Math. Soc. 145 (2017), no. 1, 267-272.
  • Lipschitz continuity and convexity preserving for solutions of semilinear evolution equations in the Heisenberg group, (with Q. Liu and J. J. Manfredi), Calc. Var. Partial Differential Equations 55 (2016), no.4, Art. 80, 25pp.
  • Sobolev embedding on a sphere containing an arbitrary Cantor set in the image, (with P. Hajlasz), Geom. Dedicata. 184 (2016), 159--173.
  • A game-theoretic proof of convexity preserving properties for motion by curvature, (with Q. Liu and A. Schikorra), Indiana Univ. Math. J. 65 (2016), 171--197.