Xinbao Lu   鲁新宝 Postdoc Shanghai Center for Mathematical Sciences   上海数学中心 Fudan University   复旦大学 Email: luxinbao@fudan.edu.cn

Research interests

Convex Geometry, Geometric Analysis.

凸体几何，几何分析。

Education

• Tongji University, Shanghai, China
Ph.D in Mathematics, June, 2022
Thesis Advisor: Prof. Ge Xiong (熊革)
Thesis Topic: Affine isoperimetric inequalities and Minkowski problems for the electrostatic capacity
• Tongji University, Shanghai, China
B.S. in Mathematics, June, 2017

Publications

• The \(L_p\) John ellipsoids for negative indices, (with G. Xiong), to appear in Israel J. Math.
• The \(L_p\) Minkowski problem for the electrostatic \(\mathfrak{p}\)-capacity for \(\mathfrak{p}\geqslant n\), (with G. Xiong), Indiana Univ. Math. J. 70 (2021) 1869-1901.
• A new approach to the Minkowski first mixed volume and the LYZ conjecture, (with Q. Sun and G. Xiong), Discrete Comput. Geom. 66 (2021) 122-139.

Talks

• On the applications and generalizations of the cone-volume functional, CICDG2020, Huazhong University of Science and Technology, Wuhan, Nov. 5-8, 2020.
• \(L_p\) John ellipsoids for negative indices, CICDG2021, Hebei Normal University, Shijiazhuang, Jan. 7-9, 2022.