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Tao Zhang (张韬)

Research Center for Applied Mathematics and Machine Intelligence
Zhejiang Lab
A member of Combinatorics and Information Theory

Research Interests

Discrete geometry, extremal graph theory, coding theory and design


Professional Experiences

Zhejiang Lab, 2022.7--
Research Expert

Guangzhou University, 2017.7--2022.6
Associate Professor

Education

Zhejiang University, 2012.9--2017.6
Ph.D. in Mathematics (Advisor: Prof. Gennian Ge)

Soochow University, 2004.9--2008.6
B.S. in Mathematics

Honours and Awards

2019 Kirkman Medal

2019 The Honorable Mention of Doctor thesis for New World Mathematics Awards

2017 The Excellent Doctor Dissertations of Zhejiang Province

2017 The Nomination Award for Excellent Doctor Dissertations of Zhejiang University

2015 Scholarship for Doctoral Student by State Key Laboratory of Information Security

2015 National Scholarship for Outstanding Doctoral Student by the Ministry of Education in China

Publications

27. New constructions of Sidon spaces

(with Gennian Ge,

Published in: Journal of Algebraic Combinatorics, 2022+ PDF

26. Some extremal results on hypergraph Turan problems

(with Zixiang Xu, Gennian Ge,

Published in: Science China Mathematics, 2022+ PDF

25. On the codegree density of PGm(q)

(with Gennian Ge,

Published in: SIAM Journal on Discrete Mathematics, 2021 PDF

24. Color isomorphic even cycles and a related Ramsey problem

(with Gennian Ge, Yifan Jing, Zixiang Xu,

Published in: SIAM Journal on Discrete Mathematics, 2020 PDF

23. Some tight lower bounds for Turan problems via constructions of multi-hypergraphs

(with Zixiang Xu, Gennian Ge,

Published in: European Journal of Combinatorics, 2020 PDF

22. Some New Results on Splitter Sets

(with Zuo ye, Xiande Zhang, Gennian Ge,

Published in: IEEE Transcations on Information theory, 2020 PDF

21. New lower bounds for partial k-parallelisms

(with Yue Zhou,

Published in: Journal of Combinatorial Designs, Jan. 2020. PDF

20. On the nonexistence of lattice tilings of Z^n by Lee spheres

(with Yue Zhou,

Published in: Journal of combinatorial theory, series A, Jul. 2019. PDF

19. Improved lower bounds on the degree-diameter problem

(with Gennian Ge,

Published in: Journal of Algebraic Combinatorics, Mar. 2019. PDF

18. Constructions of optimal Ferrers diagram rank metric codes

(with Gennian Ge,

Published in: Designs, Codes and Cryptography, 2019. PDF

17. On (mn,n,mn,m) relative difference sets with gcd(m,n)=1

(with Gennian Ge,

Published in: Journal of Algebraic Combinatorics, Dec. 2018. PDF

16. On the Nonexistence of Perfect Splitter Sets

(with Gennian Ge,

Published in: IEEE Transcations on Information theory, Oct. 2018. PDF

15. New Constructions of MDS Symbol-Pair Codes

(with Baokun Ding, Gennian Ge, Jun Zhang, Yiwei Zhang,

Published in: Designs, Codes and Cryptography, 2018. PDF

14. Combinatorial constructions of packings in Grassmannian spaces

(with Gennian Ge,

Published in: Designs, Codes and Cryptography, 2018. PDF

13. Maximum Distance Separable Codes for b-Symbol Read Channels

(with Baokun Ding, Gennian Ge,

Published in: Finite Fields and Their Applications, Jan. 2018. PDF

12. Splitter Sets and k -Radius Sequences

(with Xiande Zhang, Gennian Ge,

Published in: IEEE Transcations on Information theory, Dec. 2017. PDF

11. Perfect and Quasi-Perfect Codes Under the lp Metric

(with Gennian Ge,

Published in: IEEE Transcations on Information theory, Jul. 2017. PDF

10. Quantum MDS codes with large minimum distance

(with Gennian Ge,

Published in: Designs, Codes and Cryptography, 2017. PDF

9. Some new results on permutation polynomials over finite fields

(with Jingxue Ma, Tao Feng, Gennian Ge,

Published in: Designs, Codes and Cryptography, 2017. PDF

8. Invertible binary matrix with maximum number of 2-by-2 invertible submatrices

(with Yiwei Zhang, Xin Wang, Gennian Ge,

Published in: Discrete Mathematics, Feb. 2017. PDF

7. Quantum Codes Derived From Certain Classes of Polynomials

(with Gennian Ge,

Published in: IEEE Transcations on Information theory, Nov. 2016. PDF

6. New Results on Codes Correcting Single Error of Limited Magnitude for Flash Memory

(with Gennian Ge,

Published in: IEEE Transcations on Information theory, Aug. 2016. PDF

5. On the existence of certain optimal self-dual codes with lengths between 74 and 116

(with Jerod Michel, Tao Feng, Gennian Ge,

Published in: Electronic Journal of Combinatorics, Nov. 2015. PDF

4. Some New Classes of Quantum MDS Codes From Constacyclic Codes

(with Gennian Ge,

Published in: IEEE Transcations on Information theory, Sep. 2015. PDF

3. New pseudo-planar binomials in characteristic two and related schemes

(with Sihuang Hu, Shuxing Li, Tao Feng, Gennian Ge,

Published in: Designs, Codes and Cryptography, 2015. PDF

2. Fourth Power Residue Double Circulant Self-Dual Codes

(with Gennian Ge,

Published in: IEEE Transcations on Information theory, Aug. 2015. PDF

1. Some new results on the cross correlation of m sequences

(with Shuxing Li, Tao Feng, Gennian Ge,

Published in: IEEE Transcations on Information theory, May 2014. PDF

Invited Talks

11. On the Fuglede's conjecture in finite Abelian groups

Nanjing Normal University, China, Apr., 2022.

10. Fuglede's conjecture holds in Zp×Zpn

CUNY GC Harmonic Analysis and PDE Seminar, Dec., 2021. (Online)

9. Some new results on repeated patterns in proper edge colorings

Beijing Institute of Technology, China, Jul., 2021.

8. On the algebraic constructions of extremal graphs

Shandong University, China, Nov., 2020. (Online)

7. Some new results on Turan type and Ramsey type problems

2020 Workshop on Frontiers of Combinatorics and Graph Theory, Southern University of Science and Technology, China, Oct., 2020.

6. Some new results on Turan type and Ramsey type problems

The 9th National Congress of Combinatorics and Graph Theory, Soochow University, China, Aug., 2020. (Online)

5. Hypergraphs without Berge Theta Subhypergraphs

The 13th National Congress of the Chinese Mathematical Society, Sun Yat-sen University, China, Nov., 2019.

4. Hypergraphs without Berge Theta Subhypergraphs

University of Science and Technology of China, China, Oct., 2019.

3.Lattice tiling by two different shapes.

The Sixth International Symposium on Coding Theory, Cryptography and Combinatorics, Hubei University, China, May, 2019. (Plenary talk)

2. On the nonexistence of lattice tilings of Z^n by Lee spheres

Capital Normal University, China, Apr., 2019.

1. On the nonexistence of linear perfect Lee code

The 5th Sino-Korea International Conference on Coding Theory and Its Related Topics, Shanghai University, China, Jul., 2018.

Grants

2019.1--2021.12, National Natural Science Foundation of China, Grant 11801109, 240000RMB

2018.1--2019.12, Department of Education of Guangdong Province, 50000RMB

Journal Referee

IEEE Transactions on Information Theory

Designs, Codes and Cryptography

Finite Fields and Their Applications

Electronic Journal of Combinatorics

Advances in Mathematics of Communications

Teaching Experience

2021.9--2021.12, Linear Algebra

2021.3--2021.6, Linear Algebra

2020.9--2020.12, Linear Algebra

2020.3--2020.6, Linear Algebra

2019.3--2019.6, Linear Algebra

2018.9--2018.12, Linear Algebra

2018.3--2018.6, Linear Algebra

Contact Information

Email: zhant220@163.com