Yi Ming Zou

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, Yangjing, and Zou, Yi M. “Inverses of Cartan Matrices of Lie Algebras and Lie Superalgebras.” Linear Algebra and its Applications 521. (2017): 283-298.
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.
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).
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.
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. “Boolean networks with multi-expressions and parameters.” IEEE Transactions on Computational Biology and Bioinformatics, IEEE 10.3 (2013): 584-592.
Zou, Yi M. “An Algorithm for Detecting Fixed Points of Boolean Networks.” Proceedings of 2013 ICME. (2013): 670-673.
Zou, Yi M. “Characterizing Bistable Boolean Networks.” ICBBE 2012. (2012): 517-520.
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.
Sebert, Florian, and Zou, Yi M. “Factoring pseudoidentity matrix pairs.” SIAM Journal on Mathematical Analysis, SIAM 43.2 (2011): 565-576.
Zou, Yi M. “Dynamics of Boolean networks.” Discrete and Continuous Dynamical Systems, American Institute of mathematical sciences 4.6 (2010): 1629-1640.
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.
Xu, Guangwu, and Zou, Yi M. “Linear dynamical systems over finite rings.” Journal of Algebra, Elsevier 321. (2009): 2149-2155.
Ying, Lei, and Zou, Yi M. “Linear transformations and restricted isometry property.” ICASSP 2009. IEEE, (2009): 2961-2964.
Zou, Yi M. “Ideal structure of Clifford algebras.” Adv. Appl. Clifford Algebra, Birkhauser Verlag Basel/Switzerland 19. (2008): 147-153.
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. “Invariants and orthogonal q-polynomials associated with Cq(osp(1,2)).” Journal of Algebra, Elsevier 308. (2007): 144-162.
Zou, Yi M. “Indices of coincidence isometries of the hyper cubic lattice Z^n.” Acta Cryst. A62. (2006): 454-458.
Zou, Yi M. “Structures of coincidence symmetry groups.” Acta Cryst. A62. (2006): 109-114.
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.