PERSONAL INFORMATION
Name: Xiaomei Zhao, Assistant Professor
Address: School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China
E-mail: x8zhao@gmail.com
EDUCATION
Ph.D. in Mathematics, University of Waterloo, Canada (2010)
Thesis: Asymptotic estimates for rational spaces on hypersurfaces in function fields
Advisor: Professor Yu-Ru Liu
Master of Science in Mathematics, Central China Normal University, China (2004)
Bachelor of Science in Mathematics, Central China Normal University, China (2001)
RESEARCH INTERESTS AND CURRENT RESEARCH WORKS:
My research area is number theory in function fields, with an emphasis on the application of the Hardy-Littlewood circle method in Diophantine problems.
My current work is centered on multidimensional Vinogradov-type estimates in function fields via Wooley’s recent revolutionary approach of efficient congruencing.
Academic Visits
2011/08 - 2013/12：Postdoctoral Fellow, University of Waterloo, Canada
Publications
W. Kuo, Y.-R. Liu, and
X. Zhao, Multidimensional Vinogradov-type estimates in function fields, Can. J. of Math. 66 (2014), no. 4, 844-873.
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X. Zhao, A note on the real densities of homogeneous systems in function fields, Finite Fields Appl. 25 (2014), 194–221.
Y.-R. Liu and X. Zhao, A generalization of Roth's theorem in function fields, Michigan Math. J. 61 (2012), 839-866.
X. Zhao, Asymptotic estimates for rational spaces on hypersurfaces in function fields, Proc. Lond. Math. Soc. (3) 104 (2012), 287-322.
X. Zhao, A note on multiple exponential sums in function fields, Finite Fields Appl. 18 (2012), 35-55.
Y.-R. Liu, C. V. Spencer, and X. Zhao, A generalization of Meshulam's theorem on subsets of finite abelian groups with no 3-term arithmetic progression (II), European Journal of Combinatorics 32 (2011), 258-264.
Y.-R.Liu, C. V. Spencer, and X. Zhao, Roth's theorem on systems of linear forms in function fields, Acta Arithmetica 142 (2010), 377-386.
