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Applied Mathematics

Time:Oct 12, 2023 Author: Clicks:

Shixin Zhu

Shixin Zhu received the Ph.D. degree in computer and information from the Hefei University of Technology, Hefei, China, in 2005. Currently, he is a Professor with the School of Mathematics, Hefei University of Technology. His research interests include information theory, coding theory, cryptography, and sequences. Dr. Zhu was awarded the National famous teacher award in 2007.

Selected publications:

[1] S. Zhu, Z. Sun, P. Li, A class of negacyclic BCH codes and its application to quantum codes, Designs, Codes and Cryptography, 2018, 86: 2139-2165.

[2] S. Zhu, Z. Sun, X. Kai, A class of narrow-sense BCH codes, IEEE Transactions on Information Theory, 2019, 65(8): 4699-4714.

[3] Y. Li, S. Zhu*, E. Martine-Moro, The Hull of two classical propagation rules and their applications, IEEE Transactions on Information Theory, 2023, 69(10): 6500-6511.

[4] R. Wan, Y. Li, S. Zhu*, New MDS self-dual codes over finite field GF(r2), IEEE Transactions on Information Theory, 2023, 69(8): 5009-5016.

[5] R. Wan, S. Zhu*, J. Li, New MDS self-dual codes from GRS codes and extended GRS codes, Finite Fields and Their Applications, 2023, 89: 102222.


Li Liu

Li Liu is currently a full professor in the School of Mathematics at Hefei University of Technology. She obtained my B.S. degree in Mathematics from Anhui Normal University in 1986, M.S. degree in Mathematics from University of Science and Technology of China in 1995, and Ph.D. degree in Mathematics from Tongji University in 2009. Her research focuses on algebraic number theory and coding theory.

Selected publications:

[1] Yanhui Zhang, Li Liu, Xianhong Xie. Three classes of BCH codes and their duals. Discrete Mathematics, 2023+

[2] Li LiuXianhong Xie, Lanqiang Li, and Shixin Zhu. The weight distributions of two classes of nonbinary cyclic codes with few weights. IEEE Communications Letters, 21(11):2336-2339, 2017

[3] Li Liu, Lanqiang Li, Xiaoshan Kai, Shixin Zhu. Repeated-root constacyclic codes of length 3lp^s and their dual codes. Finite Fields and Their Applications, 42:269–295, 2016

[4] Li Liu, Hongwen Lu. On the exceptional fields for a class of real quadratic fields. Acta Mathematica Scientia31B(3):1179-1188, 2011.

[5] Li Liu, Chaoping Xing. Packing Superballs from Codes and Algebraic Curves. Acta Mathematica Sinica. 24B(1):1-6, 2008.


Jin Li

Jin Li received the M.S. degree in mathematics from Hefei University of Technology in 2011 and the Ph.D. degree in computer and information from Hefei University of Technology in 2014.  Her major research interest is coding theory.

Selected publications:

[1] J. Li, S. Zhu*, K. Feng, The Gauss sums and Jacobi sums over Galois ring GR(p^2,r) , SCIENCE CHINA Mathematics, 2013, 56(7), 1457-1465.

[2] J. Li*, K. Feng, Constructions on approximately mutually unbiased bases by Galois ringsJournal of Systems Science and Complexity, 2015, 28:1440-1448.

[3] J. Li*, A. Zhang, K. Feng, Linear codes over F_q[x]/(x^2)  and GR(p^2,m)  reaching the Griesmer bound, Designs, Codes and Cryptography, 2018, 86:2837–2855.

[4] N. Gao, J. Li*, S. Huang. Hermitian Hulls of Constacyclic Codes and Their Applications to Quantum CodesInternational Journal of Theoretical Physics, 2022, 61: 57.

[5] X. Huang, J. Li*, S. Huang. Constructions of symplectic LCD MDS codes from quasi-cyclic codes, Advances in Mathematics of Communications, 2022, 16(4): 779-790.


Xiaoshan Kai

I received the M.S. degree in applied mathematics and the Ph.D. degree in management informatics from Hefei University of Technology in 2007 and 2011, respectively. I am currently a professor with the School of Mathematics, Hefei University of Technology. I am an associate editor of Journal of Applied Mathematics and Computing. My research interests are in coding theory, in particular codes over finite rings and quantum coding theory.

Selected publications:

[1] Taoran Liu, Xiaoshan Kai, Some quantum synchronizable codes with explicit distance, Journal of Applied Mathematics and Computing, 2023, 69(11): 1751-1764.

[2] Xiaoshan Kai, Shixin Zhu, Zhonghua Sun, The images of constacyclic codes and new quantum codes, Quantum Information Processing, 2020, 19(7): 212(1-16).

[3] Yajing Zhou, Xiaoshan Kai, Shixin Zhu, Jin Li, On the minimum distance of negacyclic codes with two zeros, Finite Fields and Their Applictions, 2019, 55(1): 134-150.

[4] Xiaoshan Kai, Shixin Zhu, Yusen Zhao, Huarong Luo, Zhe Chen, New MDS symbol-pair codes from repeated-root codes, IEEE Communication Letters, 2018, 22(3): 462-465.

[5] Xiaoshan Kai, Shixin Zhu, Ping Li, A construction of new MDS symbol-pair codes, IEEE Transactions on Information Theory, 2015, 61(11): 5828-5834.


Ping Li

Ping Li received his bachelor’s degree from Anhui University in Anhui Province in 1995, where he majored in applied mathematics; He received his master’s degree from Hefei University of Technology in 2002, where he majored in sequence s of nonlinear feedback shift-regesters; In 2013, he received his doctor’s degree from Hefei University of Technology, where he majored in coding theory. Now he works as an associate professor at School of Mathematics of Hefei University of Technology. His research interest focuses on coding theory.

Selected publications:

[1]Ping Li, Xuemei Guo, Shixin Zhu, Xiaoshan Kai. Some results on linear codes over the ring Z4+uZ4+vZ4+uvZ4, Journal of Applied mathematics and Computing, 2017,54(1): 307–324

[2]Ruqin Gao, Ping Li, Zhonghua Sun. New entanglement-assisted quantum MDS codes with length n=(q^2+1)/10μ. Journal of Applied Mathematics and Computing , 2022 ,68(3):2267–2291

[3]Jiayuan Zhang, Ping Li, Xiaoshan Kai. Shixin Zhu. Some new classes of quantum BCH codes, Quantum Information Processing, 2022, 22(12):1-22.

[4]Ping Li, Jiayuan Zhang, Zhonghua Sun. A Construction Method of Ternary Linear Complementary Dual Codes and Self-orthogonal Codes, Journal of Electronics & Information Technology(Chinese), 2022, 44(11):4018-4024.

[5]Ping Li, Shanshan Li, Yongsheng Tang, A Type of MacWilliams Identity for Linear Codes over Z4+Uz4 on Lee Weight, ACTA ELECTRONICA SINICA(Chinese Series),2015,43(12):2461-2465


Fulin Li

I received the M.S. degree in applied mathematics and the Ph.D. degree in management informatics from Hefei University of Technology in 2009 and 2012, respectively. I am currently an Associate Professor with the School of Mathematics, Hefei University of Technology. My research  interest  includes quantum cryptography, cryptography and information security.

Selected publications:

[1] F. Li, H. Hu, S. Zhu, A (k,n)-threshold dynamic quantum secure multiparty

multiplication protocol, Quantum Information Processing, 2022, 21:394, 2022.

[2] F. Li, T. Chen, S. Zhu, Dynamic (t, n) threshold quantum secret sharing based on d-dimensional Bell state, Physica A: Statistical Mechanics and its Applications, 2022,606: 128122.

[3] F. Li, M. Luo, S. Zhu, A new (w, t, n)-weighted threshold quantum secret

sharingscheme based on two-qubit system, Physica A: Statistical Mechanics and its Applications, 2022, 607: 128-229.

[4] F. Li, Y. Liu, J. Yan, S. Zhu, A new fair multisecret sharing scheme based on asymmetricbivariate polynomial, Cryptography and Communications, 2022, 14: 1039-1053.

[5] F. Li, T. Chen, H. Zhu, S. Zhu, B. Pang, Dynamic hierarchical quantum secret sharing with general access structure, Quantum Information Processing, 2023, 22: 320.


Min Su

I am a professor in the School of Mathematics at Hefei University of Technology. I received my B.S. in the School of Mathematics and Statistics from Lanzhou University in 2004 and my Ph.D. in Applied Mathematics from Lanzhou University in 2009. Then, I joined the School of Mathematics, Hefei University of Technology. From 2010-2012, I did a postdoc in the School of Geography at Nanjing Normal University. From 2015-2016, I was a visiting scholar in the Integrative Biology at University of California, Berkely. I work at the interface between mathematics and ecology. My interests lie in developing mathematical models to explain patterns of disease transmission and ecological networks.

Selected publications:

[1] Su M, Jiang ZJ, Hui C, 2022. How multiple interaction types affect disease spread and dilution in ecological networks. Frontiers in Ecology and Evolution, 10: 862986.

[2] Su M, Yang YQ, Hui C. How intraguild predation affects the host diversity-disease relationship in a multihost community. Journal of Theoretical Biology, 2020, 490: 110174.

[3] Su M, Yang YQ. Parasite richness and network architecture jointly affect multihost community composition. Physica A, 2020, 540:123213.

[4] Zhao ZH, Hui C., Plant R, Su M, Carpenter T, Papadopoulos N, Li Z, Carey J. Life table invasion models: spatial progression and species-specific partitioning. Ecology, 2019, 100(5), e02682.

[5] Min Su, Mike Boots. The impact of resource quality on the evolution of virulence in spatially heterogeneous environments. Journal of Theoretical Biology, 2017, 416:1-7.


Zhen Wang

Zhen Wang is an associate professor of the School of Mathematics at Hefei University of Technology. She received the Ph.D. degree in pure mathematics from Beijing Normal University. From 2017 to 2018, she was a visiting scholar at School of Mathematics in the University of Edinburgh and worked with Prof. Istvan Gyongy. Her research interests include stability and bifurcation of ODEs, stochastic systems theory and applications.

Selected publications:

[1] Zhen Wang, Mengmeng Jin, Dynamical behaviors of a class of stochastic tumor-immune systems, Journal of Biological Systems, 2023, 31(3): 849-882.

[2] Zhen Wang, Stability and moment boundedness of an age-structured model with randomly-varying immigration or harvesting, J. Math. Anal. Appl., 2019, 471: 423-447.

[3] Zhen Wang and Xiong Li, Stability and moment boundedness of the stochastic linear age-structured model, Journal of Dynamics and Differential Equations, 2019, 31: 2109-2125.

[4] Zhen Wang, Xiong Li, Stability of non-densely defined semilinear stochastic evolution equations with application to the stochastic age-structured model, Journal of Dynamics and Differential Equations, 2015, 27: 261-281.

[5] Zhen Wang, Xiong Li and Jinzhi Lei, Moment boundedness of linear stochastic differential equation with distributed delay, Stoch. Proc. & Appl., 2014, 124: 586-612.


Liqi Wang

Liqi Wang received the M.S. degree in Applied Mathematics and the Ph.D. degree in Computer Application Technology from Hefei University of Technology in 2012 and 2015, respectively. From 2018 to 2019, he was a Postdoc in Nanyang Technological University, Singapore. He is currently an associate professor with the School of Mathematics, Hefei University of Technology. His major research interest is coding theory.

Selected publications:

[1] Liqi Wang, Xiujing Zheng, Shixin Zhu. New quantum codes derived from the images of constacyclic codes. Quantum Information and Computation, 2023, 23(1&2): 0001-0015.

[2] Liqi Wang, Pan Wang, Shixin Zhu. Some new families of entanglement-assisted quantum MDS codes derived from negacyclic codes. Quantum Information Processing, 2022, 21:318.

[3] Yuting Chen, Liqi Wang, Shixin Zhu. On the constructions of n-cycle permutations. Finite Fields and Their Applications, 2021, 73: 101847.

[4] Liqi WangShixin Zhu, Zhonghua Sun. Entanglement-assisted quantum MDS codes from cyclic codes. Quantum Information Processing, 2020, 19(2): 65.

[5] Liqi Wang, Shixin Zhu. Repeated-root constacyclic codes over F_2+uF_2+vF_2+uvF_2. Journal of Pure and Applied Algebra, 2018, 222(10): 2952-2963.


Ge Yi

I was graduated from the University of Rome "La Sapienza", an Italian institution with a reputation for excellence that has produced three Nobel Prize winners: Guglielmo Marconi, Enrico Fermi, and Giorgio Parisi. My supervisors Paola Maria Santini and Francesco Calogero are world-renowned scientists who specialize in integrable dynamical systems and nonlinear evolution equations. Currently, my research focuses on dispersionless integrable systems in higher dimensions, particularly on the structure and related properties of high-dimensional integrable hierarchies.

Selected publications:

[1] G. Yi, On the dispersionless Davey-Stewartson hierarchy: Zakharov-Shabat equations, twistor structure and Lax-Sato formalism,  ZAMM-J. Appl. Math. Mech., online, DOI: 10.1002/zamm.202100435 (2022)

[2] G. Yi, W. Wang, K. Tian and Y. Xu, The generalized q-Wronskian solutions of the q-deformed constrained  modified KP hierarchy, Mod. Phys. Lett. B, 2250141 (2022)

[3] G. Yi, On the dispersionless Davey-Stewartson system: Hamiltonian vector field Lax pair and relevant nonlinear Riemann–Hilbert problem for dDS-II system, Lett. Math. Phys. 110, 445-463 (2019)

[4] G. Yi and P. M. Santini, The Inverse Transform for the Dunajski hierarchy and some of its reductions, I: Cauchy problem and longtime behavior of solutions, J. Phys. A: Math. Theor. 48, 215203 (2015)

[5] G. Yi and X.Liao, On the Davey-Stewartson hierarchy: construction by two scalar pseudo-differential operators and compatibility for infinite many flows, Rom. Rep. Phys. 74, 116(2022)


Ruifeng Zhang

Ruifeng Zhang received his B.S. degree and Ph.D. degree in School of Mathematical Science from University of Science and Technology of China in 2003 and 2008, respectively.  From 2015 to 2016, he visited University at Buffalo--SUNY and worked with Prof. Hanfeng Li.  Since 2008, he has been a faculty member in the School of Mathematics. His research interest is topological dynamical systems and ergodic theory.

Selected publications:

[1] Wu, Qinqi; Zhang, Ruifeng, The complexity of an induced system of Z2-actions, J. Differential Equations368(2023), 203–228.

[2] Zhang, Ruifeng; Zhao, Jian Jie, Topological multiple recurrence of weakly mixing minimal systems for generalized polynomials, Acta Math. Sin. (Engl. Ser.) 37 (2021), no. 12, 1847–1874.

[3] Snoha, L'ubomír; Ye, Xiangdong; Zhang, Ruifeng; Topology and topological sequence entropy, Sci. China Math., 2020,63(2), 205–296.

[4] García-Ramos, Felipe; Li, Jie; Zhang, Ruifeng; When is a dynamical system mean sensitive?, Ergodic Theory Dynam. Systems, 2019, 39(6): 1608–1636.

[5] Zhang, Ruifeng; Topological pressure of generic points for amenable group actions, J. Dynam. Differential Equations, 2018,30 (4), 1583–1606.


Xiaofeng Chen

Xiaofeng Chen usually publishes academic papers under Ricky X. F. Chen. He is now a professor of the School of Mathematics, and a distinguished scholar of the Huangshan Mountain (a.k.a. Yellow Mountain) program at Hefei University of Technology, Hefei, China. He received his PhD in Mathematics at Virginia Tech in the USA and then worked for Virginia Tech and the University of Virginia after that. He also used to work for the telecom company Huawei, as a wireless research engineer, for more than five years. His research interests are mainly on combinatorics and graph theory, as well as their applications in complex systems and information technologies.

Select Publications:

[1] Ricky Chen, Christian Reidys, Michael Waterman, RNA secondary structures with given motif specification: combinatorics and algorithms, Bulletin of Mathematical Biology, 85 (2023), #21.

[2] Ricky Chen, On products of permutations with the most uncontaminated cycles by designated labels, Journal of Algebraic Combinatorics, 57 (2023), pp. 1163-1171.

[3] Ricky Chen, A versatile combinatorial approach of studying products of long cycles in symmetric groups, Advances in Applied Mathematics, 133 (2022), Article 102283.

[4] Ricky Chen, Andrei Bura, Christian Reidys, D-chain tomography of networks: a new structure spectrum and an application to the SIR process, SIAM Journal on Applied Dynamical Systems,18(4) (2019), pp. 2181--2201.

[5] Ricky Chen, Christian Reidys, Plane permutations and applications to a result of Zagier-Stanley and distances of permutations, SIAM Journal on Discrete Mathematics, 30(3) (2016), pp. 1660--1684.


Zhonghua Sun

Zhonghua Sun received the B.S. degree in mathematics from Hefei University, and the M.S. and Ph.D. degrees from the Hefei University of Technology in 2009 and 2019, respectively. From 2021 to 2022, he was a Post-Doctoral Fellow with the Department of Computer Science and Engineering, the Hong Kong University of Science and Technology. From July 2023 to August 2023, he visited the Hong Kong University of Science and Technology. His major research interest is coding theory.

Selected publications:

[1] Z. Sun, C. Li, and C. Ding, An infinite family of binary cyclic codes with best parameters, IEEE Transactions on Information Theory, DOI: 10.1109/TIT.2023.3307732.

[2] Z. Sun, X. Wang, and C. Ding, Several families of irreducible constacyclic and cyclic codes, Designs, Codes and Cryptography, 2023, 91: 2821--2843.

[3] Z. Sun, S. Huang, and S. Zhu, Optimal quaternary Hermitian LCD codes and their related codes, Designs, Codes and Cryptography, 2023, 91: 1527--1558.

[4] Z. Sun, Several families of binary cyclic codes with good parameters, Finite Fields and Their Applications, 2023, 89: 102200.

[5] S. Zhu, Z. Sun, and X. Kai, A class of narrow-sense BCH codes, IEEE Transactions on Information Theory, 2019, 65(8): 4699--4714.

Dongwei Li

Dongwei Li received the Ph.D. degree in School of Mathematical Science from University of Electronic Science and Technology of China in 2018. He major research interest is frame theory.

Selected publications:

[1] Li Dongwei; Leng Jinsong; Huang Tingzhu ; Generalized frames for operators associated with atomic systems, Banach Journal of Mathematical Analysis, 2018, 12(1): 206-221.

[2] Li, Dongwei; Leng, Jinsong; Huang, Tingzhu; Sun, Guomin ; On sum and stability of gframes in Hilbert spaces, Linear and Multilinear Algebra, 2018, 66(8): 1578-1592 .

[3] Li Dongwei; Leng Jinsong; Huang Tingzhu; Li Xiaoping ; On weaving g-frames for Hilbert spaces, Complex Analysis and Operator Theory, 2020, 14(2): 1-25 .

[4] Li Dongwei; Leng Jinsong ; Operator representations of g-frames in Hilbert spaces, Linear and Multilinear Algebra, 2020, 68(9): 1861-1877.

[5] Li Dongwei ; Splitting of operators for frame inequalities, Mathematical Inequalities & Applications, 2021, 24(2): 421-430 .


Bingkang Huang

I am currently an associate professor in the School of Mathematics at Hefei University of Technology. I received my Ph.D. at Wuhan University advised by Prof. Huijiang ZHAO. From Nov. 2022 to Nov. 2024, I was a visiting scholar at Institute of Mathematics of the Czech Academy of Sciences. My research mainly focuses on the fluid mechanics.

Selected publications:

[1]Huang; Zhang, L.;Global well-posedness of classical solution to the interactions between short-long waves with large initial data. J. Differential Equations 318 (2022), 187–229.

[2] Huang; Liao, Y.; Global stability of combination of viscous contact wave with rarefaction wave for compressible Navier-Stokes equations with temperature-dependent viscosity. Math. Models Methods Appl. Sci. 27 (2017) no. 12, 2321–2379.



Maoding Zhen

I'm a master advisor. I received my PhD form Huazhong University of Science and Technology in 2020. I visited Professor Juncheng Wei at the University of British Columbia in Canada form May 2029 to December 2019. I am presiding over the National Natural Science Foundation of China (No. 12201167) and the Fundamental Research Funds for the Central Universities (No. JZ2023HGTB0218). I have published more than ten papers in Journal d'Analyse Mathématique, Journal of Differential Equations, The Journal of Geometry Analysis, Discrete and Continnuous Dynamical Systems, and other magazines.

Selected publications:

[1] Duan Lipeng, Xiao Luo and Maoding Zhen*, New vector solutions for the cubic nonlinear Schrodinger system, Journal d'Analyse Mathématique (2023), to appear.

[2] Xiao Luo, Juncheng Wei, Xiaolong Yang and Maoding Zhen*, Normalized solutions for Schrödinger system with quadratic and cubic interactions, Journal of Differential Equations,314(2022)52-127.

[3] Maoding Zhen, Normalized solutions for schrödinger system with subcriticalobolev Exponent and Combined Nonlinearities,The Journal of Geometric Analysis,(2022)32:86

[4] Maoding Zhen; Jinchun He; Haoyuan Xu*; Meihua Yang ; Positive ground state solutions for fractional Laplacian system with one critical exponent and one subcritical exponent, Discrete and Continuous Dynamical System, 2019, 39(11): 6523-6539.

[5] Maoding Zhen; Binlin Zhang*; Vicentiu D. Radulescu ; Normalized solutions for nonlinear co upled fractional system: low and high perturbations in the attractive case, Discrete and Continuo us Dynamical System, 2021, 41(6): 2653-2676.





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