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I received my PhD and MSc in Mathematics from Chinese Academy of Sciences in 1991 and 1988.

Prior to joining Laurier, I was a professor at the Institute of Mathematics, Chinese Academy of Sciences (1999-2013), and an associate professor at the same institute (1994-1999).

The main focus of my research is Lle algebra, representation theory, division algebra, and linear algebra.

- University Research Professor (2014/15).

I have research assistantships opportunities for graduate students interested in algebra. Contact me for more information. I am willing to supervise graduate students in the areas of algebra.

- V. Mazorchuk, K. Zhao, “Simple Virasoro modules which are locally finite over a positive part”,
*Selecta Math*. (N.S.), 20 (2014), no. 3, 839-854. - R. Lu, K. Zhao, “Irreducible Virasoro modules from irreducible Weyl modules”,
*J. Algebra*, 414(2014), 271-287. - B. Cox, X. Guo, R. Lu, K. Zhao, “n-Point Virasoro algebras and their modules of densities”,
*Commun. Contemp. Math.*16 (2014), no. 3, 1350047. - R. Lu, V. Mazorchuk, K. Zhao, “On simple modules over conformal Galilei algebras”,
*J. of Pure and Applied Algebra*, 218 (2014) 1885-1899. - X. Guo, G. Liu, and K. Zhao, “Irreducible Harish-Chandra modules over extended Witt algebras”,
*Arkiv for matematik*, 52(2014), no.1, 99-112. - H. Chen, X. Guo, K. Zhao, “Tensor product weight modules over the Virasoro algebra”,
*J. London Math. Soc.*(2) 88 (2013) 829-844. - H. Tan, K. Zhao, “Irreducible Virasoro modules from tensor products (II)”,
*J. Algebra*, 394(2013), 357-373. - G. Liu, K. Zhao, “Irreducible Harish-Chandra modules over the derivation algebras of rational quantum tori”, Glasgow
*J. Math.*, Vol. 55(3), 677-693 (2013). - V. Mazorchuk, K. Zhao, “Characterization of simple highest weight modules”,
*Canadian Math. Bull.*, Vol. 56 (3), 606-614 (2013). - X. Guo, R. Lu and K. Zhao, “Fraction representations and highest-weight-like representations of the Virasoro algebra”,
*J. Algebra*, 387(2013), 68-86. - L. Feng, K. Zhao, “Classifying zeros of quaternionic two-sided polynomials and computing zeros of two-sided polynomials with complex coefficients”,
*Pacific J. Math.*, 262-2 (2013), 317-337. - X. Guo, R. Lu, K. Zhao, “Classification of irreducible Harish-Chandra modules over generalized Virasoro algebras”, Proceedings of the Edinburgh Mathematical Society, (2012)55, 697-709.
- J. Morita, K. Zhao, “Automorphisms and derivations of Borel subalgebras and their nilradicals in Kac-Moody algebras”,
*Communications in Contemporary Mathematics*, Vol.14, No.2 (2012), 63-84. - S. Eswara Rao, K. Zhao, “Integrable Representations of Toriodal Lie Algebras Co-ordinatized by Rational Quantum Tori”,
*J. Algebra*, 361 (2012), 225-247. - L. Feng, H. Tan, K. Zhao,” A generalized Cayley-Hamilton theorem”, L
*inear Algebra and its Applications*, 436 (2012), 2440-2445. - X. Guo, R. Lu and K. Zhao, “Irreducible modules over the Virasoro algebra”,
*Documenta Mathematica*, 16 (2011), 709-721. - X. Guo, R. Lu, K. Zhao, “Irreducible Harish-Chandra modules over the loop-Virasoro algebra”,
*Math. Forum*, 23 (2011), 1029-1052. - G. Liu, K. Zhao, “Irreducible weight modules over derivation algebras of quantum tori”,
*J. Algebra*, Vol.340, 28-34(2011). - X. Guo, K. Zhao, “Irreducible modules over Witt algebra”,
*Proc. Amer. Math. Soc.*, Volume 139, Number 7, July 2011, 2367-2373. - V. Mazorchuk and K. Zhao, “Supports of weight modules over Witt algebras”, Proceedings of the Royal Society of Edinburgh, 141A, 155-170(2011).
- X. Guo, X. Liu and K. Zhao, “Harish-Chandra modules over the ${Q}$ Heisenberg-Virasoro Algebra”,
*J Aust. Math. Soc*., Vol.89, 9-15(2010). - R. Lu, K. Zhao, “Classification of Irreducible Weight Modules Over the Twisted Heisenberg-Virasoro Algebra”,
*Communications in Contemporary Mathematics*, Vol.12, No.2, 183-205(2010). - D. Z. Djokovic, K. Zhao, “An octonion algebra originating in combinatorics”,
*Proc. Amer. Math. Soc.*, 138(2010), 4187-4195. - R. Lu, K. Zhao, “Verma modules over quantum torus Lie algebras”,
*Canadian Journal of Mathematics*, Vol.62 (2), 382-399(2010).

- Chairman of Program Committee, International Conference on Lie Algebra, Xinyang, China, June 2–6, 2016.
- Chairman of Program Committee, International Conference on Lie Algebra, Shijiazhuang, China, May 29 – June 2, 2014.
- Program Committee Member, International conference on algebras, Beijing, China, Aug. 17–21, 2007.
- Program Committee Member, The tenth national conference on Lie algebras, Changshu, China, Aug. 9-15, 2007.
- Program Committee Member, International Conference on Lie Algebras, Harbin, China, July 11 – July 16, 2005.
- Program Committee Member, The Chinese Eighth National Conference on Lie Algebras, Xiamen, China, July 29 – Aug. 2, 2003.
- Program Committee Member, International Conference on Algebra (Satellite Conference of ICM 2002), Suzhou, China, Aug. 29 – Sep. 2, 2002.
- Chairman of Program Committee, International workshop on Lie theory, Beijing, China, June, 2001.
- Chairman of Program Committee, The Chinese Seventh National Conference of Lie algebra, Shanghai, China, July, 2000.

Winter 2017:

- MATH 685, "Advanced Linear Algebra and Lie Algebra"

Fall 2016:

- MATH 222, "Linear Algebra"
- MATH 323, "Introduction to Groups and Rings"
- MATH 422, "Advanced Linear Algebra"

Winter 2016:

- sabbatical leave

Fall 2015:

- MATH 215, "Set Theory"
- MATH 422, "Advanced Linear Algebra"

Fall 2014:

- MATH 222, "Linear Algebra"
- MATH 323, "Introduction to Groups and Rings"

Winter 2014:

- MATH 222, "Linear Algebra"
- MATH 475, "Ring and Field Theory"

Fall 2013:

- MATH 525, "Graduate Algebra for Applications" (graduate course)
- MATH 489, "Honours Seminar" (supervising project)

Winter 2013:

- MATH 222, "Linear Algebra"
- MATH 525, "Graduate Algebra for Applications" (graduate course)

Fall 2012:

- MATH 323, "Introduction to Groups and Rings"
- MATH 425, "Group Theory"

Winter 2012:

- MATH 222, "Linear Algebra"
- MATH 489, "Honours Seminar"

Fall 2011:

- MATH 323, "Introduction to Groups and Rings"
- MATH 475, "Ring and Field Theory"
- MATH 489, "Honours Seminar"

Winter 2011:

- MATH 425, "Group Theory"

Fall 2010:

- MATH 323, "Introduction to Groups and Rings"
- MATH 121, "Mathematical Proofs"

Winter 2010:

- MATH 222, "Linear Algebra"
- MATH 525, "Graduate Algebra for Applications" (graduate course)

Fall 2009:

- MATH 215, "Set theory"
- MATH 103, "Calculus I"
- MATH 489, "Honours Seminar: Number Theory"

Winter 2009:

- MATH 685, "Graduate Lie Algebra"

Summer 2008 (May 5 to July 15):

- MATH 525, "Graduate Algebra for Applications"

Fall 2007:

- MATH 215, "Set Theory"
- MATH 122A, "Introductory Linear Algebra" (course coordinator)
- MATH 122B, "Introductory Linear Algebra"
- MATH 489, "Honours Seminar: Number Theory"

Winter 2007:

- MATH 122D, "Introductory Linear Algebra" (course coordinator)
- MATH 317, "Number Theory"
- MATH 489, "Honours Seminar: Advanced Linear Algebra"

Fall 2006:

- MATH 122A, "Introductory Linear Algebra" (course coordinator)
- MATH 215, "Set Theory"

Winter 2006:

- MATH 222, "Linear Algebra"
- MATH 659, "Harmonic Analysis" (graduate course)

Fall 2005:

- MATH 122, "Introductory Linear Algebra" (course coordinator)
- MATH 422, "Advanced Linear Algebra"

Winter 2005:

- MATH 122-D, "Introductory Linear Algebra" (course coordinator)
- MATH 122-F, "Introductory Linear Algebra"
- MATH 222, "Linear Algebra"
- MATH 489, "Honours Seminar: Lie Groups"

- Editor,
*International Journal of Mathematics and Mathematical Science*, 2011–present. - Editor,
*Chinese Advances in Mathematics*, 2000–2010. - Reviewer,
*American Mathematical Review*, 1992–present. - Reviewer,
*Zentralblatt Math*, 2010–present. - Editor,
*Science in China*, 2000–2003. - Editor,
*Bulletin of Chinese Sciences*, 2000–2003.

Visiting scholars of 2016/17:

- Xiufu Zhang, Jiangsu Normal University, China, July 15 – Sept. 10, 2016.
- Xuewen Liu, Zhengzhou University, Sept. 1, 2016 – Aug. 31, 2018.

Visiting scholars of 2015/16:

- Yufeng Pei, Shanghai Normal University, China, Jan. 20 – Feb. 19, 2016.
- Yanan Cai, University of Science and Technology of China, Sept. 1, 2013 – Aug. 30, 2015.
- Genqiang Liu, Henan University, China, Aug. 3–30, 2015.

Visiting scholars of 2014/15:

- Yanan Cai, University of Science and Technology of China, Sept. 1, 2013 – Aug. 30, 2015.
- Haijun Tan, Changchun University of Science and Technology, Changchun, Jilin, 130022, P.R. China, Dec. 1, 2014 – Jan. 31, 2015.
- Qiufan Chen, Tongji University, Shanghai 200092, P.R. China, Dec. 10, 2014 – March 10, 2015.

Visiting scholars of 2013/14:

- Drazen Adamovic, University of Zagreb, Zagreb, Croatia, April 6–18, 2014.
- Volodymyr Mazorchuk, Uppsala University, Uppsala, Sweden, Sept. 19–27, 2013.
- Husheng Qiao, Northwest Normal University, China, Nov. 15, 2012 – Nov. 15, 2013.
- Hongjia Chen, University of Alberta, Feb. 1, 2012 – May 20, 2013.
- Xiufu Zhang, Jiangsu Normal University, March 25, 2013 – March 30, 2014.
- Yongsheng Chen, Henan University, China, May 1, 2013 – Dec. 31, 2013.
- Jian-gang Zhang, Shanghai Normal University, Sept. 3, 2013 – Aug. 30, 2014.
- Ran Shen, Shanghai Normal University, Sept. 3, 2013 – Aug. 30, 2014.
- Rencai Lu, Suzhou University, China, Sept. 5, 2013 – Aug. 30, 2014 (at UW).
- Yanan Cai, University of Science and Technology of China, Sept. 1, 2013 – Aug. 30, 2015.

Visiting scholars of 2012/13:

- Xianqian Guo, Zhengzhou Univeristy, China. Feb. 4, 2012 – Jan. 30, 2013.
- Hongjia Chen, University of Alberta, Feb. 1, 2012 – July 31, 2013.
- Vyacheslav Futorny, University of São Paulo, Brazil, Feb. 20 – March 4, 2012.
- Husheng Qiao, Northwest Normal University, China, Nov. 15, 2012 – Nov. 15, 2013.

Visiting scholars of 2011/12:

- Feng Lianggui, National University of Defense Technology, Feb. 20, 11 – Feb. 21, 2012.
- Ben Cox, College of Charleston, USA, June 5 – June 18, 2011
- Yin Chen, Northeast Normal University, April 1 – Aug. 31, 2011.
- Xiangqian Guo, Zhengzhou University, Feb. 4, 2012 – Jan. 30, 2013.
- Volodymyr Mazorchuk, Uppsala University, Sweden, April 17, 2012 – April 29, 2012.

Visiting scholars of 2010/11:

- Feng Lianggui, National University of Defense Technology, Feb. 20, 2011 – Feb. 21, 2012.
- Yin Chen, Northeast Normal University, April 1 – Aug. 31, 2011.
- Ben Cox, College of Charleston, USA, June 27 – July 9, 2010
- Xiangqian Guo, Zhengzhou University, Feb. 4, 2012 – Jan. 30, 2013.
- Fernando Szechtman, Univeristy of Regina, Canada, January, 2011

Visiting scholars of 2008/09:

- Volodymyr Mazorchuk, Uppsala University, Sweden, April 19, 2009 – May 9, 2009.
- Senapati Eswara Rao, Tata Institute, India, Aug. 2 – Aug. 29, 2008.

Contact Info:

E: kzhao@wlu.ca

Office location: LH3042

Office hours:

Tuesdays and Thursdays, 11:30 a.m. to 12:30 p.m.

Languages spoken: English, Chinese