Summary
- Assistant Professor, w88 casino, Reno, August 2015–present
- Postdoctoral Fellow, w88 casino games login of Toronto, August 2012–July 2015
w88 casino games login
My w88 casino games login lie in analytic number theory and its interactions with harmonic analysis. I am particularly interested in applying analytic methods to solve diophantine problems.
One main theme of my current w88 casino games login concerns the generalized Baker-Schmidt problem in metric diophantine approximation on manifolds, which is a far-reaching generalization of the classical zero-one law of Khintchine. These problems turn out to be closely related to counting rational points in a thin neighborhood of a manifold, a question of fundamental importance on its own right.
Education
- Ph.D. in w88 casino games login, Pennsylvania State University, August 2012
- B.Sc. in w88 casino games login, Nankai University, June 2007
Selected publications
- The density of rational points near hypersurfaces. Duke Mathematical Journal, to appear.
- Simultaneous approximation on affine subspaces (with Jason Liu). Int. Math. Res. Not. IMRN, to appear.
- Diophantine approximation on the parabola with non-monotonic approximation functions. Math. Proc. Cambridge Philos. Soc. 168 (2020), no. 3, 535-542.
- Integral points close to a space curve. Mathematische Annalen 374 (2019), no. 3-4, 1987–2003.
- Hausdorff theory of dual approximation on planar curves, J. Reine Angew. Math. (Crelle's journal) 740 (2018), 63-76.
- Rational points near planar curves and Diophantine approximation, Advances in w88 casino games login 274 (2015), 490-515.