Professor

Mathematical Sciences - General

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

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

Li, W., Zhou, Q, Gao, Y, and Zou, Y. “eQTL analysis from co-localization of 2739 GWAS loci detects associated genes across 14 human cancers.” *Journal of Theoretical Biology* 462. (2019): 240-246.

Sriwongsa, Songpon, and Zou, Yi M. “Orthogonal abelian Cartan subalgebra decomposition of sl(n) over a finite commutative ring.” *Linear and Multilinear Algebra, Taylor & Francis* online first. (2018).

Chen, Qili, Qiao, Junfei, and Zou, Yi M. *A Self-Organizing Recurrent Neural Network Based on Dynamic Analysis.* Ed. David C. Wyld et al. 7th International Conf. on Comp. Sci., Eng. and Infor. Technology, Vienna, 2017: 53 - 66.

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.

Gu, Yinmin, Zou, Yi M., and et al. “Promoter DNA methylation analysis reveals a novel diagnostic CpG-based biomarker and RAB25 hypermethylation in clear cell renel cell carcinoma.” *Scientific Reports* 7. (2017): 11 pages.

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 Ed. AIMS, . (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*. Ed. 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.