蔡吳興，男，博士，華南理工大學數學學院講師。
基本介紹
- 中文名：蔡吳興
- 學位/學歷：博士
- 職業：教師
- 專業方向：代數組合
- 任職院校：華南理工大學數學學院
人物經歷,研究方向,學術成果,
人物經歷
工作經歷
2004.7- , Lecturer South China University of Technology, Guangzhou, China
Courses taught: Linear Algebra, Probability Theory, Abstract Algebra
2011.9.1-2012.8.30, Post doc. Mathematisches Institut, Universit¨at Basel, Basel, Switzerland
2013.9.1-2014.8.30, visiting scholar. Math Department, M.I.T., Cambridge, USA
教育背景
2007-2010, South China University of Technology, Guangzhou China Ph.D. , December 2010 Dissertation: ”Vertex Operator Realizations of Jack Functions” passed with distinction Advisor: Naihuan Jing, Ph.D.
2001-2004, Peking University, Beijing China M.S, April 2004 Master’s Thesis: ”The Cryptography on Quadratic Field” Advisor: Qingchun Tian, Ph.D.
研究方向
代數組合
學術成果
論文
1.W. Cai, N. Jing, On vertex operator realizations of Jack functions,Journal of Algebraic Combinatorics32 (2010), 579--595.
2.W. Cai, N. Jing, Applications of Laplace-Beltrami operator for Jack poly- nomials,European Journal of Combinatorics33 (2012), 556--571.
3.T.W. Cai, N. Jing, Jack vertex operators and realization of Jack functions,Journal Algebraic Combinatorics39(2014), 53--74.
4. X.Hu, N. Jing,W. Cai, Generalized McKay of rank three,Acta Mathematica Sinica, English Series. 29(2013), 1351--1368.
5.T.W. CaiN. Jing, Vertex operator realization of Jack symmetric functions,Nankai Ser. Math. Phys., GROUP 29 01/2013.
6.T.W. Cai, N. Jing, A generalization of Newton's identity and Macdonald func- tions,Journal of Combinatorial Theory Series A, 125, (2014), 342--356.
7.T.W. Cai, Macdonald symmetric functions of rectangular shapes,Journal of Combinatorial Theory Series A, 128(2014), 162--179.
8.T.W. Cai, N. Jing, J. Zhang, Modular Macdonald functions and Generalized Newton's identity, accepted byJournal of Algebra(Available online 4 November 2014)
9.T.W. Cai, R. Stanley, The Smith normal form of a matrix associated with Young's lattice, accepted byProceedings of American Mathematical Society
10.T.W. Cai, Average length of the longest $k$-alternating subsequence, accepted byJournal of Combinatorial Theory Series A
