selected publications academic article Tian, G., & Xu, G. (2021). Virtual cycles of gauged Witten equation. Journal fuer die Reine und Angewandte Mathematik: Crelle's journal. 771(771), 1-64. Tian, G., & Xu, G. (2020). A Wall-Crossing Formula and the Invariance of GLSM Correlation Functions. Peking Mathematical Journal. 3(2), 235-291. Venugopalan, S., Woodward, C. T., & Xu, G (2020). Fukaya categories of blowups Xu, G (2019). A Compactness Theorem for $SO(3)$ Anti-Self-Dual Equation with Translation Symmetry Tian, G., & Xu, G (2018). Gauged Linear Sigma Model in Geometric Phases Tian, G., & Xu, G. (2018). Analysis of gauged Witten equation. Journal fuer die Reine und Angewandte Mathematik: Crelle's journal. 2018(740), 187-274. Woodward, C., & Xu, G (2018). An open quantum Kirwan map Venugopalan, S., & Xu, G. (2018). Local model for moduli space of affine vortices. International Journal of Mathematics. 29(03), 1850020-1850020. Wang, D., & Xu, G. (2017). Compactness in the adiabatic limit of disk vortices. Mathematische Zeitschrift. 287(1-2), 405-459. Wu, W., & Xu, G. (2017). Gauged Floer Homology and Spectral Invariants Xu, G (2016). Gluing affine vortices Tian, G., & Xu, G. (2016). Correlation functions of gauged linear -model. Science China Mathematics. 59(5), 823-838. Xu, G. (2015). Classification of U(1)-vortices with target N. International Journal of Mathematics. 26(13), 1550109-1550109. Xu, G (2015). Gauged Hamiltonian Floer homology I: Definition of the Floer homology groups. Transactions of the American Mathematical Society. 368(4), 2967-3015. Schecter, S., & Xu, G. (2014). Morse theory for Lagrange multipliers and adiabatic limits. Journal of Differential Equations. 257(12), 4277-4318. Xu, G. (2013). The moduli space of twisted holomorphic maps with Lagrangian boundary condition: Compactness. Advances in Mathematics. 242, 1-49. Feng, H., Xu, G., & Zhang, W. (2009). Real Embeddings, -invariant and Chern-Simons Current. Pure and Applied Mathematics Quarterly. 5(3), 1113-1138.
teaching activities MATH304 Linear Algebra Instructor MATH323 Hnr-linear Algebra Instructor MATH423 Linear Algebra Ii Instructor MATH491 Hnr-research Instructor MATH622 Differential Geometry I Instructor MATH666 Seminar In Geometry Instructor MATH685 Directed Studies Instructor MATH689 Sptp:morse Theory Instructor
education and training Ph.D. in Mathematics, Princeton University - (Princeton, New Jersey, United States) 2013 B.A. in Mathematics, Nankai University - (Tianjin, China) 2006
awards and honors SEC Faculty Travel Grant Award, conferred by Texas A&M University - (College Station, Texas, United States), 2020