Xiaosheng Wu

I am a full professor in the School of Mathematics at Hefei University of Technology. I received Ph.D. in Academy of Mathematics and Systems Science, Chinese Academy of Sciences in 2012, and then worked as a posdoctor from 2012 to 2015 at University of Science and Technology. My research interests are Analytic Number Theory and Combinatorial Number Theory, especially in the analytic theory of L-functions and the distribution of primes.

Selected publications:

[1] Wu Xiaosheng, The fourth moment of Dirichlet L-functions at the central value, Math. Ann., https://doi.org/10.1007/s00208-022-02483-9, 50 pages.

[2] Kerr Bryce; Shparlinski Igor E; Wu Xiaosheng; Xi Ping, Bounds on bilinear forms with Kloosterman sums, J. Lond. Math. Soc., http://doi.org/10.1112/jlms.12753, 44 pages.

[3] Wu Xiaosheng, The fourth moment of Dirichlet L-functions along the critical line, Forum Math., https://doi.org/10.1515/forum-2022-0309, 25 pages.

[4] Wu Xiaosheng, The twisted mean square and critical zeros of Dirichlet L-functions, Math. Z., 293, 825–865, 2019.

[5] Huang Wen; Wu Xiaosheng, On the set of the difference of primes, Proc. Amer. Math. Soc., 145 (2017), no 9, 3787-3793.

Shan Chang

Shan Chang, associate professor in the School of Mathematics at Hefei University of Technology. I graduated from School of Mathematical Science of University of Chinese Academic of Science (UCAS) in 2009. I worked as a posdoctor from 2009 to 2011 at University of Science and Technology, as a lecturer from 2011 to 2013 and as an associate professor from 2014 to 2023 at Hefei University of Technology.  My research interests are theory of grouprings, representation theory and their applications. I published several  SCI papers on "Journal of Algebra", "Chinese Annals of Mathematics", "Czechoslovak Mathematical Journal" and other well-known journals. I have presided over one National Natural Science Foundation Youth Science Fund project and one "Tianyuan" projec, one basic research funds for central universities.

Selected publications:

[1] Chang Shan; Stability in graded rings associated with commutative augmented rings, Journal of Algebra, 2021, 586: 857-864.

[2] Chang Shan; Augmentation quotients for Burnside rings of some finite p-groups, Proceedings - Mathematical Sciences, 2018, 129.

[3] Chang Shan, Liu, Hang; Augmentation quotients for real representation rings of cyclic groups, Proceedings  - Mathematical Sciences, 2018, 128(4): 48.

[4] Chang Shan; Augmentation Quotients for Complex Representation Rings of Generalized Quaternion Groups, Chinese Annals of Mathematics Series B, 2016, 37(4): 571-584.

[5] Shan Chang; Augmentation Quotients for Burnside Rings of Generalized Dihedral Groups, Czechoslovak Mathematical Journal, 2016, 66(4): 1165-1175.

Ying Xu

I am a full professor in the School of Mathematics at Hefei University of Technology. I received Ph.D. in School of Mathematical Science from the University of Science and Technology of China in 2012. I worked as a lecturer from 2012 to 2014, and as an associate professor from 2015 to 2021 at Hefei University of Technology. From September 2015 to November 2017, I was a visiting postdoctoral researcher in University of Sydney in Australia. My research interests are Lie theory, Quantum group and their applications in mathematical physics.

Selected publications:

[1] Kelei Tian, Song Li, Ge Yi, Ying Xu; Additional symmetries of the dispersionless cKP hierarchy, Physics Letters B, 822(2021),136643

[2] Ying Xu, R.B. Zhang; Quantum correspondences of affine Lie superalgebras, Mathematical Research Letters, 25(2018), no.3, 1009-1036.

[3] Yucai Su, Ying Xu, Xiaoqing Yue; Indecomposable modules of the intermediate series over ���(a,b). Sci. China Math., 57(2014), no.2, 275–291.

[4] Yucai Su, Chunguang Xia, Ying Xu; Classification of quasifinite representations of a Lie algebra related to Block type, Journal of Algebra, 393(2013), 71-78.

[5] Ying Xu, Junbo Li; Lie bialgebra structures on the extended affine Lie algebra (sl₂ (Cq)), Journal of Pure and Applied Algebra, 217(2013), no.3, 364-376.

Huihui Zhu

Huihui Zhu works as an associate professor inSchool of Mathematics, Hefei University of Technology Since 2017. He studied inSoutheast University for his PhD degree between 2012-2016. In 2014, he wasselected by China Scholarship Council for a joint PhD study in University ofMinho, Portugal.His research interests includes: Ring Theory, Linearalgebra, Generalized inverses Theory.

Selected publications:

[1] Huihui Zhu, The （b,c）-core inverse and its dual in semigroups withinvolution, J. Pure Appl. Algebra, 228 (2024) 107526.

[2] Huihui Zhu, Liyun Wu, Jianlong Chen, A new classof generalized inverses in semigroups and rings with involution, Comm. Algebra,51 (2023)  2098-2113.

[3] Huihui Zhu, Liyun Wu, Dijana Mosic, One-sidedw-core inverse in rings with an involution, Linear Multilinear Algebra 71(2023) 528-544

[4] Huihui Zhu, Liyun Wu, Qing-Wen Wang,Suitableelements *-clean elements and Sylvester equations in rings with involution,Comm. Algebra, 50 (2022)  1535-1543.

[5] Huihui Zhu, Fei Peng, Projections generated by Moore–Penrose inverses andcore inverses, J. Algebra Appl. 20 (2021) 2150027

Yunyun Yang

Yunyun Yang received her B.S. degree in Mathematics from Jinan University in Guangzhou, China. Then she received her PhD degree in Mathematics from Louisiana State University, USA. She also pursued a dual-M.S. degree in Physics and passed the qualifying exam at Louisiana State University. She is now a full professor in the School of Mathematics, Hefei University of Technology. Her research interests include Functional Analysis, Mathematical Physics. In particular, she works in Distribution Theory (Generalized Functions), Spectral Asymptotics, Spectral Geometry.  

Selected publications：

1. Yang, Y. Distributions in $\mathbb{R}^3$ with a thick Curve, J. Math. Anal. Volume 512, Issue 2 (2022)

2. Estrada, R. Vindas, J and Yang, Y. The Fourier transform of thick distributions, Analysis and Applications, 19 (4), 621-646 (2021)

3. Yang, Y. Reconstruction of the one-dimensional thick distribution theory, J. Math. Anal. Appl., Vol 488, Issue 1, 2020.DOI:10.1016/j.jmaa.2020.124034

4. Fulling, S. and Yang, Y., Some Subtleties in the Relationships among Heat Kernel Invariants, Eigenvalue Distributions, and Quantum Vacuum Energy, Journal of Physics A: Mathematical and Theoretical, Vol 48, No.4, 2015.

5. Yang, Y. and Estrada, R., Distributions in spaces with thick points, J. Math. Anal. Appl. 401 No.2, 821-835 (2013).

Zhenghua Xu

In 2017, I graduated from University of Science and Technology of China with a Doctor of Science degree. Now I am an associate professor and master tutor. I am mainly engaged in several complex variables and Clifford analysis. As the first author, I have published more than 10 academic papers, such as Proc. Roy. Soc. Edinburgh, Ann. Mat. Pura Appl., J. Geom. Anal., Ann. Acad. Sci. Fenn. Math., Complex Anal. Oper. Theory, SCIENTIA SINICA Mathematica. Until now, I have completed one NNFC and three school-level projects, and am presiding over one project from Anhui Provincial Natural Science Foundation.

Selected jpublications:

[1] Zhenghua Xu：Generalized Bohr radius for slice regular functions over quaternions. Ann. Mat. Pura Appl. (4) 200 (2021), no. 3, 1217–1229.

[2] Zhenghua Xu: Bohr theorems for slice regular functions over octonions. Proc. Roy. Soc. Edinburgh Sect. A 151 (2021), no. 5, 1595–1610.

[3] Zhenghua Xu：Another look at the Landau theorem. Ann. Fenn. Math. 46 (2021), no. 1, 581–585.

[4] Zhenghua Xu: A Schwarz-Pick lemma for the norms of holomorphic mappings in Banach spaces. Complex Var. Elliptic Equ. 63 (2018), no. 10, 1459–1467.

[5] Zhenghua Xu,Guangbin Ren: Slice starlike functions over quaternions. J. Geom. Anal. 28 (2018), no. 4, 3775–3806.

Xiao Luo

Xiao Luo, Associate professor and master supervisor of School of Mathematics, Hefei University of Technology. In 2018, he graduated from Central China Normal University with a Doctor of Science degree. His research interests are nonlinear partial differential equations and variational methods. He has published 30 SCI papers on "Calc. Var. Partial Differential Equations", "J. Differential Equations", "J. Anal. Math", "Science in China", The Journal of Geometric Analysis and other well-known journals. He has presided over one National Natural Science Foundation Youth Science Fund project, three basic research funds for central universities, and participated in the completion of three National Natural Science Foundation projects.

Selected publications:

[1] Jia, Huifang; Luo, Xiao Prescribed mass standing waves for energy critical Hartree equations. Calc. Var. Partial Differential Equations 62 (2023), no. 2, Paper No. 71.

[2] Luo, Xiao; Yang, Tao Normalized solutions for a fourth-order Schrödinger equation with a positive second-order dispersion coefficient. Sci. China Math. 66 (2023), no 6, 1237-1262.

[3] Duan,Lipeng; Luo, Xiao, Zhen, Maoding New vector solutions for cubic nonlinear Schrödinger systems in R3. Journal d'Analyse Mathématique (2023), to appear.

[4] Luo, Xiao; Wei, Juncheng; Yang, Xiaolong; Zhen, Maoding Normalized solutions for Schrödinger system with quadratic and cubic interactions. J. Differential Equations 314 (2022), 56-127.

[5] Luo, Xiao Normalized standing waves for the Hartree equations. J. Differential Equations 267 (2019), no. 7, 4493–4524.