Yi Ming Zou

Associate Chair for the Graduate Program; Professor
Mathematical Sciences - General
 (414) 229-5110
 Eng & Math Sciences E410
Web: Personal Website


  • PhD, Indiana University, 1991
  • MS, Nankai University, Tianjin, China, 1982

Research Interests

  • Lie algebras
  • Lie superalgebras
  • Quantum groups
  • Quantum supergroups
  • Algebraic methods and applications, bioinformatic

Selected Publications

Wei, Yangjiang, Xu, Guangwu, and Zou, Yi M. “Dynamics of linear systems over finite commutative rings.” Applicable Algebra in Engineering, Communication and Computing, Springer Online First. (2016): 11 pages.
Gu, Yinmin, Lei, Danqing, Qin, Xia, Chen, Panyu, Zou, Yi M., and Hu, Yanling. “Integrated analysis reveals together miR-182, miR-200c and miR-221 can help in the diagnosis of prostate cancer.” PLOS ONE 10. (2015): 15 pages.
Hu, Yanling, Gu, Yinmin, Wang, Huimin, Huang, Yuanjie, and Zou, Yi M. “Integrated network model provides new insights into castration-resistant prostate cancer.” Scientific Report 5. (2015).
Tian, Jianjun, and Zou, Yi M. “Finitely generated nil but not nilpotent evolution algebras.” Journal of Algebra and Its Applications, World Scientific Publishing Company 13.1 (2014): 10.
La Corte, Diana T., and Zou, Yi M. Newton’s Method Backpropagation for Complex-Valued Holomorphic Multilayer Perceptrons. IEEE CONFERENCE PUBLICATIONS, 2014: 2854 – 2861.
Zou, Yi M. “An Algorithm for Detecting Fixed Points of Boolean Networks.” Proceedings of 2013 ICME. (2013): 670-673.
Zou, Yi M. “Boolean networks with multi-expressions and parameters.” IEEE Transactions on Computational Biology and Bioinformatics, IEEE 10.3 (2013): 584-592.
Zou, Yi M. “Characterizing Bistable Boolean Networks.” ICBBE 2012. (2012): 517-520.
Sebert, Florian, and Zou, Yi M. “Factoring pseudoidentity matrix pairs.” SIAM Journal on Mathematical Analysis, SIAM 43.2 (2011): 565-576.
Zou, Yi M. “Representing Boolean functions using polynomials: more can offer less.” Lecture notes in computer science, Springer-Verlag Berlin Heidelberg III.6677 (2011): 290-296.
Zou, Yi M. “Modelling and analyzing complex biological networks incooperating experimental information on both network topology and stable states.” Bioinformatics, Oxford University 26.16 (2010): 2037-2041.
Zou, Yi M. “Dynamics of Boolean networks.” Discrete and Continuous Dynamical Systems, American Institute of mathematical sciences 4.6 (2010): 1629-1640.
Ying, Lei, and Zou, Yi M. “Linear transformations and restricted isometry property.” ICASSP 2009. IEEE, (2009): 2961-2964.
Xu, Guangwu, and Zou, Yi M. “Linear dynamical systems over finite rings.” Journal of Algebra, Elsevier 321. (2009): 2149-2155.
Sebert, Florian, Zou, Yi M., and Ying, Lei. “Toeplitz block matrices in compressed sensing and their applications in imaging.” ITAB (2008). IEEE, (2008): 47-50.
Zou, Yi M. “Ideal structure of Clifford algebras.” Adv. Appl. Clifford Algebra, Birkhauser Verlag Basel/Switzerland 19. (2008): 147-153.
Zou, Yi M. “Invariants and orthogonal q-polynomials associated with Cq(osp(1,2)).” Journal of Algebra, Elsevier 308. (2007): 144-162.
Zou, Yi M. “Structures of coincidence symmetry groups.” Acta Cryst. A62. (2006): 109-114.
Zou, Yi M. “Indices of coincidence isometries of the hyper cubic lattice Z^n.” Acta Cryst. A62. (2006): 454-458.
Zhang, RuiBin, and Zou, Yi M. “Spherical functions on homogeneous superspaces.” J. of Math. Phys., Amer. Inst. Phys. 46. (2005): 21 pages.
Zou, Yi M. “Quantum super spheres and their transformation groups, representations, and little t-Jacobi polynomials.” Journal of Algebra 267. (2003): 178-198.
Zou, Yi M. “Crystal bases for Uq(Γ(σ1, σ2, σ3)).” Transactions of the American Mathematical Society 353. (2001): 3789-3802.
Musson, Ian, and Zou, Yi M. “Crystal bases for Uq(osp(1,2r)).” Journal of Algebra 210.2 (1998): 514-534.
Zou, Yi M. “Categories of finite dimensional weight modules over type I classical Lie superalgebras.” Journal of Algebra 180.2 (1996): 459-482.
Zou, Yi M. “Finite dimensional representations of Γ(σ1, σ2, σ3).” Journal of Algebra 169.3 (1994): 827-846.