2017年10月至2018年10月，美国得克萨斯大学阿灵顿分校，博士联合培养，导师：Tuncay Aktosun 教授
2013年9月至2019年1月，南京理工大学，数学专业，硕博连读，导师：杨传富 教授
2009年9月至2013年6月，黄山学院，数学与应用数学（师范），学士（本科）
主要研究常微分算子的反谱与反散射问题
近五年如下：
[1] 徐小川*，潘彝君，半直线上具有一般边界条件的矩阵 Schrödinger算子离散谱数据性质. 中国科学: 数学 56 (2026), 1-10.
[2] Y.-J. Pan, X.-C. Xu*, Necessary and Sufficient Conditions for the Solvability of an Inverse Problem for the Matrix Schrödinger Operator on the Half-line, Acta Mathematicae Applicatae Sinica (2026), DOI: 10.1007/s10255-026-0109-y
[3] X.-C. Xu*, Y.-T. Huang, Direct and inverse spectral problems for the Schrödinger operator with double generalized Regge boundary conditions, Bull. London Math. Soc. 57 (2025), 1671-1690.
[4] T.-T. Zuo, X.-C. Xu*. Distribution of resonances and inverse resonance problems with the mixed given data for the massless Dirac operator on the real line. Inverse Problems and Imaging, 2025, 19(2): 355-374.
[5] X.-C. Xu*, C.-F. Yang, N.P. Bondarenko, On the local solvability and stability of the partial inverse problems for the non-self-adjoint Sturm–Liouville operators with a discontinuity, J. Math. Phys. 66 (2025), 081504.
[6] X.-C. Xu*, T.-T. Zuo, Direct and inverse resonance problems for the massless Dirac operator on the half line, J. Math. Phys. 65 (2024), 031510.
[7] 徐小川, 马利杰. 一类基于 Robin 边界条件变化的反传输特征值问题, 中国科学：数学, 2023, 53(5): 729-736.
[8] , , , and , Weak and strong stability of the inverse Sturm-Liouville problem, Math. Meth. Appl. Sci. 46 (2023), 15684–15705
[9] X.-C. Xu*, N.P. Bondarenko, Local solvability and stability of the generalized inverse RobinRegge problem with complex coefficients, J. Inverse Ill-posed Probl. 31 (2023) 711-721.
[10] X.-C. Xu*, N.P. Bondarenko, On the local solvability and stability for the inverse spectral problem of the generalized Dirichlet-Regge problem, Acta Math. Sin. Engl. Ser. 38 (2022), 1229-1240.
[11] L.-J. Ma, X.-C. Xu*, Inverse transmission eigenvalue problems for the Schrödinger operator with the Robin boundary condition, Lett. Math. Phys. 112 (2022), 11.
[12] X.-C. Xu*, N.P. Bondarenko, Stability of the inverse scattering problem for the self-adjoint matrix Schrödinger operator on the half line, Stud. Appl. Math.149 (2022), 815-838.
[13] X.-C. Xu*, L.-J. Ma, C.-F. Yang, On the stability of the inverse transmission eigenvalue problem from the data of McLaughlin and Polyakov, J. Differential Equations 316 (2022), 222-248.
获得2020年江苏省优秀博士学位论文；获得2020江苏省工业与应用数学学会学术年会优秀论文奖
主持国家自然科学基金青年项目一项、南京信息工程大学人才科研启动项目一项；
参与国家自然科学基金国际合作与交流项目一项、江苏省自然科学基金面上项目一项
