selected publications academic article Xie, Z., & Yu, G. (2021). Delocalized Eta Invariants, Algebraicity, and K-Theory of Group C*-Algebras. 2021(15), 11731-11766. Guo, H., Xie, Z., & Yu, G. (2021). Functoriality for higher rho invariants of elliptic operators. Journal of Functional Analysis. 280(10), 108966-108966. Xie, Z., Yu, G., & Zeidler, R. (2021). On the range of the relative higher index and the higher rho-invariant for positive scalar curvature. Advances in Mathematics. 390, 107897-107897. Weinberger, S., Xie, Z., & Yu, G. (2021). Additivity of Higher Rho Invariants and Nonrigidity of Topological Manifolds. Communications on Pure and Applied Mathematics. 74(1), 3-113. Gorokhovsky, A., & Xie, Z. (2019). Fibrations and higher products in cohomology. Journal of Topology and Analysis. 11(01), 135-147. Gorokhovsky, A., Sullivan, D., & Xie, Z. (2019). Generalized Euler classes, differential forms and commutative DGAs. Journal of Topology and Analysis. 11(01), 109-118. Higson, N., Schick, T., & Xie, Z. (2018). Calgebraic higher signatures and aninvariance theorem in codimension two. Geometry and Topology. 22(6), 3671-3699. Xie, Z., & Yu, G. (2017). Higher rho invariants and the moduli space of positive scalar curvature metrics. Advances in Mathematics. 307(Mat. Sb.18911998), 1046-1069. Xie, Z., & Yu, G. (2014). A relative higher index theorem, diffeomorphisms and positive scalar curvature. Advances in Mathematics. 250, 35-73. Xie, Z., & Yu, G. (2014). Positive scalar curvature, higher rho invariants and localization algebras. Advances in Mathematics. 262, 823-866. Xie, Z. (2013). The odd-dimensional analogue of a theorem of Getzler and Wu. Journal of Noncommutative Geometry. 7(3), 647-676. Xie, Z. (2011). Relative index pairing and odd index theorem for even dimensional manifolds. Journal of Functional Analysis. 260(7), 2064-2085. chapter Xie, Z., & Yu, G. (2019). Higher invariants in noncommutative geometry. Advances in Noncommutative Geometry. (pp. 691-751). Springer Nature. Xie, Z., & Yu, G. (2015). Noncommutative Geometry of Discrete Groups. Cheng, S. Y., Ji, L., Poon, Y. S., Xiao, J., Yang, L., & Yau, S. T. (Eds.), Introduction to Modern Mathematics. International Press. institutional repository document Gorokhovsky, A., & Xie, Z. (2017). Fibrations and higher products in cohomology Gorokhovsky, A., Sullivan, D., & Xie, Z. (2017). Generalized Euler classes, differential forms and commutative DGAs Xie, Z., Yu, G., & Zeidler, R. (2017). On the range of the relative higher index and the higher rho-invariant for positive scalar curvature
principal investigator on FRG: Collaborative Research: The Hypoelliptic Laplacian, Noncommutative Geometry, and Applications to Representations and Singular Spaces awarded by Directorate for Mathematical & Physical Sciences - (Arlington, Virginia, United States) 2020 - 2023 K-theory of Operator Algebras and Invariants of Elliptic Operators awarded by National Science Foundation - (Arlington, Virginia, United States) 2018 - 2021 Conference: International Workshop on Operator Theory and its Applications 2018 awarded by National Science Foundation - (Arlington, Virginia, United States) 2018 - 2020 K-theory of operator algebras and invariants of elliptic operators awarded by National Science Foundation - (Arlington, Virginia, United States) 2015 - 2019
co-principal investigator on Great Plains Operator Theory Symposium 2019- awarded by National Science Foundation - (Arlington, Virginia, United States) 2019 - 2020 Noncommutative Geometry-Festival awarded by National Science Foundation - (Arlington, Virginia, United States) 2014 - 2015
teaching activities MATH409 Analysis On The Real Line Instructor MATH622 Differential Geometry I Instructor MATH636 Topology I Instructor MATH637 Topology Ii Instructor MATH643 Algebraic Topology I Instructor MATH644 Algebraic Topology Ii Instructor MATH656 Functional Analysis Ii Instructor MATH663 Seminar In Analysis Instructor MATH685 Directed Studies Instructor MATH691 Research Instructor
chaired theses and dissertations Kuang, Zheng (2018-07). Iterated Monodromy Groups of Rational Mappings. Zhu, Qinfeng (2018-05). Lower Algebraic K-Theory of Rings.
education and training Ph.D. in Mathematics, The Ohio State University - (Columbus, Ohio, United States) 2011 B.S. in Mathematics, Zhejiang University - (Hangzhou, Zhejiang, China) 2005