个人简历
研究方向
数论, 二次型的表示
教育背景
2016/09-2020/09 香港大学, 基础数学, 博士
2012/09-2015/07 华南师范大学, 计算数学, 硕士
2008/09-2012/07 华南理工大学广州学院, 信息与计算科学, 学士
工作经历
2025/07-至今, 东莞理工学院, 副教授
2023/02-2025/06, 东莞理工学院, 讲师
2020/11-2022/12, 南方科技大学, 博士后
联系方式
办公室:8A404
电话: 13580450921
邮箱: zilonghe@dgut.edu.cn
学术兼职
期刊审稿/评论:Res. Number Theory; Acta Math. Sin. (Engl. Ser.); Math. Nachr. ;J. Number Theory; Bull. Lond. Math. Soc.; Ramanujan J.; Math. Rev.
学术论文
1.Z. He, Local information of ADC quadratic lattices over algebraic number fields, (2026), arXiv:2601.05585.
2.Z. He and Zichen Yang*, Local densities of quadratic polynomials over non-dyadic fields and unramified dyadic fields, (2024), arXiv:2407.09076v2.
3.Z. He, Arithmetic Springer theorem and n-universality under field extensions, (2023), arXiv:2312.09560v4.
4.K. Bringmann, Z. He and B. Kane*, The mass of shifted lattices and class numbers of inhomogeneous quadratic polynomials, (2023), arXiv:2305.17909.
5.Z. He, On n-ADC integral quadratic lattices over totally real number fields, Doc. Math. 30 (2025), 981--1022.
6.Z. He and Y. Hu*, Pythagoras number of quartic orders containing $\sqrt{2}$, Chinese Annals of Mathematics. Series A 45 3 (2024), 235--242.
7.Z. He, On classic n-universal quadratic forms over dyadic local fields, Manuscripta Math. 174 (2024), 559--595.
8.Z. He* and Y. Hu, On n-universal quadratic forms over dyadic local fields, Sci. China Math. 67 (2024), 1481--1506.
9.Z. He, Y. Hu* and F. Xu, On indefinite k-universal integral quadratic forms over number fields, Math. Z. 304, 20 (2023).
10.Z. He and Y. Hu*, On k-universal quadratic lattices over unramified dyadic local fields, J. Pure Appl. Algebra 227, 7 (2023).
11.Z. He and B. Kane*, Sign changes of Fourier coefficients of cusp forms of half-integral weight over split and inert primes in quadratic number fields, Res. number theory 7 10 (2021).
12.Z. He and B. Kane*, Regular ternary polygonal forms, Ramanujan J. 55 (2021), 1039--1062.
13.Z. He, Inequalities for inert primes and their applications, Int. J. Number Theory 16 (2020), 1819--1832.
14.P. Yuan, Z. He, and L. You*, New result and some open problems on the primitive degree of nonnegative tensors, Linear Algebra and its Appl. 480 (2015), 72--92.
15.Z. He, P. Yuan* and L. You, On the exponent set of nonnegative primitive tensors, Linear Algebra and its Appl. 465 (2015), 376--390.
16.P. Yuan*, Z. He, and L. You, A conjecture on the primitive degree of tensors, Linear Algebra and its Appl. 450 (2014), 175--185.