Dingxin Zhang

Bio

研究方向为代数几何与算术几何, 特别是 p-进和平展上同调理论以及在特征和方面的应用。

Education Experience

• 2007-2011 浙江大学 学士
• 2011-2017 纽约州立大学石溪分校 博士

Work Experience

• 2017-2019 哈佛大学与布兰迪斯大学 博士后
• 2019-2025 清华大学 助理教授

Publications

• Betti number bounds for varieties and exponential sums (with Daqing Wan). arXiv:2501.12623
• On sums of Betti numbers of affine varieties. Finite Fields and Applications (2025)
• Generic triviality of automorphism groups of complete intersections (with Renjie Lyu arXiv:2404.11037
• Hodge and Frobenius colevels of algebraic varieties (with Daqing Wan). arXiv:2309.16290
• Twisted GKZ hypergeometric functions and relative cohomology (with T.-J. Lee). Mathematische Annalen (in press)
• Revisiting Dwork cohomology: Visibility and divisibility of Frobenius eigenvalues in rigid cohomology (with Daqing Wan). Compositio Math. (to appear)
• Twisted sectors in Calabi–Yau type Fermat polynomial singularities and automorphic forms (with Jie Zhou). arXiv:2112.07182
• Exponentially twisted de Rham cohomology and rigid cohomology (with Shizhang Li). Mathematische Annalen (2024)
• Mixed Hodge structure and N=2 Coulomb branch solution (with Dan Xie). arXiv:2107.11180
• On Vlasenko’s formal group laws. manuscripta math. (2022)
• On a conjecture of Huang–Lian–Yau–Yu (with T.-J. Lee and B.-H. Lian). CAG (2024)
• A-hypergeometric systems and relative cohomology (with T.-J. Lee). IJM 2020
• Automorphism and Cohomology II: Complete intersections (with Xi Chen and Xuanyu Pan). IJM 2024