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I received my PhD and MSc in Mathematics from Chinese Academy of Sciences in 1991 and 1988.
Prior to joining 51本色, 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”, Linear 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