**һĿ**

ѧĿάľֲ岻2012/1-2014/12, ѽ⣬֡

Ŀάص⣬2015/01-2018/12 У**μ**

صĿ صļΣ2013/1-2017/12У**μ**

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[1] C. Gong, **J. Lu, **S.-L. Tan: *On families of curves over **with two singular fibers*, Osaka J. Math. 53 (2016),83-99.

*of algebraic surfaces, *Math. Z., 276 (2014) 543--555.

[3] **J. Lu**, S.-L. Tan: *On surface singularities of multiplicity three*, Method and Applications of Analysis, 21 (2014), no.4, 457-480.

[4] **J. Lu**, S.-L. Tan*Inequalities between the Chern numbers of a singular fiber in a family of algebraic curves* Trans. Amer. Math. Soc., 365 (2013), 3373-3396.

[5] **J. Lu**, M.Sheng, K. Zuo: *An Arakelov inequality in characterstic p and upper bound of p-rank zero locus*, J. Number Theory, 129, 12(2009), 3029-3045.

[6]** J. Lu**, S.-L. Tan, K.Zuo: *Canonical Class Inequality for Fibred Spaces*, submitted to Math Annalen.

[7] C.Gong, **J. Lu**, S,-L.Tan: *On the classification and Mordell-Weil groups of families of curves with two singular fibers*, submitted to Math. Z.

[8] P. Liu, **J. Lu**, F. Ye: *On lower bounds for slopes of totally ramified triple cover fibrations, *submitted to Asian J.Math.

[9] Z.-J. Chen,** J. Lu,** S.-L. Tan: *On the modular invariants of a family of non-hyperelliptic curves of genus 3,*preprint.

[10] Z.-J. Chen,** J. Lu,** S.-L. Tan: *On the upper bound of the slope of a trigonal fibration*, preprint.

[11] *Global invariants of trigonal fibrations* (Thesis for Ph.D. 2007)

[12] *Surfaces whose canonical maps are triple covers of surfaces with minimal degrees *(Thesis for M.S. 2004)