My research began with a project initiated by [4], in which I solved a conjecture of Dahmen and Michelli related to the algebra of the box spline space. I introduced the concept of sadditivity and proved its equivalence to the conjecture. Working with Amos, Carl, RongQing, and Sherm on this project helped me learn how to conduct research and develop my research capabilities, inspiring me to pursue a career as a mathematician. I enjoyed several memorable years as a student at the University of Alberta and as a Research Associate at UWMadison.

 Carl de Boor, Amos Ron, Zuowei Shen, On ascertaining inductively the dimension of the joint kernel of certain commuting linear operators II, Advances in Mathematics, 123 (1996), 223242. PDF
 Carl de Boor, Amos Ron, Zuowei Shen, On ascertaining inductively the dimension of the joint kernel of certain commuting linear operators, Advances in Applied Mathematics, 17(1996), 209250. PDF
 Rong Qing Jia, Sherman D. Riemenschneider, Zuowei Shen, Dimension of kernels of linear operators, American Journal of Mathematics 114(1992), 157184. PDF
 Zuowei Shen, Dimension of certain kernel spaces of linear operators, Proceedings of the American Mathematical Society 112(1991), 381390. PDF
Interpolaitions by Box Spliens
Hermite interpolation on the lattice was first introduced in [2]. Compact fundamental solutions (Lagrange functions) for cardinal interpolations and Hermite interpolations were constructed in [1] using box splines. The approximation of fitting a curve, surface, or function to scattered, possibly noisy, data can be found here.
 S. D. Riemenschneider, Zuowei Shen, Interpolation on the lattice hZ^{s}: Compactly supported fundamental solutions, Numerische Mathematik, 70(1995), 331351. PDF
 K. Jetter, S.D. Riemenschneider, Zuowei Shen, Hermite interpolation on the lattice Z^{d}, SIAM Journal on Mathematical Analysis 25(1994), 962975. PDF