上海交通大学数学科学学院

教师 FACULTY

师资队伍

FACULTY

李吉有 Jiyou Li

副教授 Associate Professor

办公室 Office：

6 号楼 427

办公接待时间 Office Hour：

9 AM-11 AM, Tuesday

办公室电话 Office Phone：

54740179

E-mail：

lijiyou at sjtu.edu.cn

教育背景 Education：

博士，2008，北京大学

Ph.D., 2008, Peking University

研究兴趣 Research Interests：

数论及其应用; 代数组合与编码理论

Number Theory with Applications; Algebraic Combinatorics and Coding Theory

教育背景/经历　Education

09/2004-07/2008: Ph.D. in Mathematics, Peking University
09/2001-07/2004: M.S. in Mathematics, Beijing Normal University
09/1997-07/2001: B.S. in Mathematics, Yunnan University

工作经历　Work Experience

12/2013--present: Associate Professor, School of Mathematical Sciences, SJTU
03/2015-03/2016: Visiting Associate Professor, Department of Mathematics, MIT
09/2012-02/2013: Visiting Scholar, Department of Mathematics, University of Delaware
08/2008-12/2013: Lecturer, Department of Mathematics, SJTU

Recent Teaching

Publications

1. Jiyou Li and Daqing Wan, On the subset sum problem over finite fields, Finite Fields Appl. 14 (2008), 911--929.
2. Jiyou Li and Daqing Wan, A new sieve for distinct coordinate counting, Science in China Series A 53 (2010), 2351--2362.
3. Jiyou Li, David Chandler and Qing Xiang, Permutation polynomials of degree 6 or 7 over finite fields of characteristic 2, Finite Fields Appl. 16 (2010), 406--419.
4. Jiyou Li and Daqing Wan, Counting subset sums of finite abelian groups, J. Combin. Theory Ser. A 19 (2012),170--182.
5. Jiyou Li, On the average sensitivity of the weighted sum function, Information Processing Letters 112 (2012), 143--148.
6. Jiyou Li, On the Odlyzko-Stanley enumeration problem and Waring‘s problem over finite fields, J. of Number Theory 133 (2013), 2267--2276.
7. Qi Cheng, Jiyou Li and Jincheng Zhuang, On determining deep holes of generalized Reed-Solomon codes, ISAAC 2013 (The 24th international Symposium on Algorithms and Computation), LNCS 8283, 100--110.
8. Jiyou Li, Daqing Wan and Jun Zhang, On minimum distances of elliptic curve codes, ISIT 2015 (IEEE International Symposium on Information Theory), 2391-2395, jUN. 2015.
9. Siman Yang, Hongfeng Wu and Jiyou Li, Access structures of hyperelliptic secret sharing schemes, Finite Fields Appl. 37 (2016), 46--53.
10. Jincheng Zhuang, Qi Cheng and Jiyou Li, On determining deep holes of generalized Reed-Solomon codes, IEEE Trans. Inf. Theory 62: 199--207 (2016).
11. Jiyou Li and Chu Luo, The simplified weighted sum function and its average sensitivity, Information Processing Letters 116 (2016), 331--336.
12. Qunying Liao, Jiyou Li and Keli Pu, On the existence for some special primitive elements in finite fields, Chin. Ann. Math. 37B (2016), 259--266.
13. Jiyou Li and Daqing Wan, Counting polynomial subset sums, Ramanujan J. 47 (2018), 67-84.
14. Jiyou Li and Xiang Yu, Number of distinct coordinate solutions to linear equations over finite fields, Finite Fields Appl. 61(2020), 101602.
15. Jiyou Li, Asymptotic estimate for the multinomial coefficients, J. Integer Seq. Vol. 23 (2020), Art. 20.1.3.
16 Jiyou Li, On the Borwein conjecture, Int. J. Number Theory 16 (2020), 1053-1066.
17. Jiyou Li and Daqing Wan, Distance distribution problems in Reed-Solomon codes, IEEE Trans. Inf. Theory 66: 2743-2750 (2020) .
18. Jiyou Li and Xiang Yu, A new sieve for multisets counting and its applications, arXiv:1909.10898, submitted.
19. Jiyou Li and Xiang Yu, The Borwein conjectures over arithmetic progressions, arXiv:2006.02970, submitted.
20. Jiyou Li, Newton Polygons of L-functions Associated to Delinge Polynomials, preprint.

Seminars

Selected Talks

The 6th National Conference on Combinatorial Number Theory, Luoyang, September, 2019

G2D2, Yichang, Augest 2019

F_q 14, SFU, Vancover, June 2019

Workshop on Diophantine equations, Aba, May 2019

Workshop on Diophantine equations, Xiamen, January 2019

The 5th Scihuan-Chongqing Workshop On Number Theory, Sichuan University, 2018

Number Theory workshop @ Nanjing University, Nanjing, 2018

Joint International Meeting of CMS-AMS, Shanghai, 2018

The 9th International Conference on FFA, Shijiazhuang, 2018

The 8th International Conference on FFA, Beijing, 2017

The 5th National Conference on Combinatorial Number Theory, Nankai University, Tianjin, 2017
The 7th International Conference on FFA, Tianjin, 2016

F_q 12, Saratoga Springs, NY, July 2015

The 6th International Conference on FFA, Beijing, 2014

Lecture Notes on Sum-Product Phenomenon and Arithmetical Applications, Summer School on Coding Theory and Cryptography, BICMR, 2014

Introduction to the complexity of Boolean functions, SJTU, 2013 Slides

The 3rd National Conference on Combinatorial Number Theory, Nankai University, Tianjin, 2013

F_q 11, Magdeburg, July 2013

University of Delaware, Feb. 2013 Topic d

University of Oklahoma, Feb. 2013

University of California, Irvine, Jan. 2013. Title: Small-bias Sets

2012 Shanghai Conference on Algebraic Combinatorics, 2012

Workshop on Cryptography, Hangzhou, 2012

The 2nd National Conference on Combinatorial Number Theory, SCNU, Guangzhou, 2011

2011 Conference on Graph Theory and Combinatorics & Sixth Cross-strait Conference on Graph Theory and Combinatorics, NCTU, Hsinchu, Taiwan

Mini-Workshop on Combinatorics, Nanjing University, Nanjing, June 2011. Title: On deep hole problems of Reed Solomon codes.

Workshop on Coding, Cryptology and Combinatorial Designs, NUS & NTU, Singapore, May 2011. Title: On counting subsets over finite fields

Workshop on Combinatorics and Graph Theory, Shanghai Normal University, Shanghai, June 2010. Titlec: A sieve formula with applications to decoding problems.

USTC Conference on Combinatorics and Graph Theory, USTC, Hefei, May 2010. Title: A new sieve for distinct coordinate counting.

Workshop on L-functions and Related Topics, Morningside Center of Mathematics, Beijing, August 2007, Title: On the subset sum problem over finite fields.