Lilu Zhao £¨ΥΤΑ’θ΄£©
Family name and given name
Family name: Zhao
given name: Lilu
School of Mathematics
Jinan, Shandong 250100
P. R. China
Ph.D.: Mathematics, The University of Hong Kong, 2009-2012
M.S.: Mathematics, Nanjing University, 2006-2009
B.S.: Computer Science, Nanjing University, 2002-2006
06/2016 - present, Full Professor, Shandong University
09/2012 - 06/2016, Associate Professor, Hefei University of Technology
Analytic Number Theory
Hong Kong Mathematical Society Best Thesis Award;2014.
 Small prime solutions to cubic equations, Sci. China Math., to appear.
 Rational lines on cubic hypersurfaces, Israel J. Math., to appear.
 The quadratic form in $9$ prime variables, Nagoya Mathematical Journal, to appear.
 (joint with K.M. Tsang), On Lagrange's four squares theorem with almost prime variables, J. Reine Angew Math., to appear.
 (joint with A.V. Kumchev), On sums of four squares of primes, Mathematika, 62 (2016) 348-361
 (joint with B. Xue), Rational points on cubic hypersurfaces that split into four forms, Mathematika, 62 (2016) 430-440.
 On the Waring-Goldbach problem for fourth and sixth powers, Proc. London Math. Soc. (6), 108 (2014) 1593-1622.
 The additive problem with one cube and three cubes of primes, Michigan Math. Journal, 63 (2014) 763-779.
 The exceptional set for sums of unlike powers of primes, Acta Mathematica Sinica, English Series, 30 (2014) 1897-1904.
 Exceptional sets in Waring's problem: two squares and s biquadrates, Acta Arithmetica, 162 (2014) 369-379.
 Four squares of primes and powers of 2, Acta Arithmetica, 162 (2014) 255-271.
 The additive problem with one prime and two squares of primes, Journal of Number Theory, 135 (2014) 8-27.
 On restricted sumsets over a field, Finite Fields and Their Applications, 28 (2014) 140-147.
 (joint with Y.K. Lau), On a variance of Hecke eigenvalues in arithmetic progressions. Journal of Number Theory, 132 (2012), 869-887.
 (joint with Z.W. Sun), Linear extension of the Erd\”os-Heibronn conjecture. Journal of Combinatorial Theory Series A, 119 (2012) 364-381.
 (joint with H. Pan), Clique numbers of graphs and irreducible exact m-covers of the integers. Adv. in Appl. Math.,43 (2009), no.1, 24-30.