Recent papers
Here are some of my papers (in reversed chronological order). Most of these are preprint versions, and may be different from the published versions. Most of my papers are also on arXiv.
- Daqing Wan and Dingxin Zhang, On Betti numbers of varieties and exponential sums, arXiv:2501.12623 (pdf)
- Dingxin Zhang, On sums of Betti numbers of affine varieties, Finite Fields Appl. 103 (2025), Paper No. 102583, 9 pp., arXiv:2411.02970 (pdf)
- Renjie Lü and Dingxin Zhang, Generic triviality of automorphism groups of complete intersections, arXiv:2404.11037
- Daqing Wan and Dingxin Zhang, Hodge and Frobenius colevels of algebraic varieties, J. London Math. Soc. (2) 111 (2025), no. 4, Paper No. e70160, arXiv:2309.16290 (pdf)
- Tsung-Ju Lee and Dingxin Zhang, Twisted GKZ hypergeometric functions and relative homology, Math. Ann. 391 (2025), no. 4, 5553–5580, arXiv:2302.08430 (pdf)
- Daqing Wan and Dingxin Zhang, Revisiting Dwork cohomology: visibility and divisibility of Frobenius eigenvalues, Compos. Math. 2025, arXiv:2207.12633 (pdf)
- Dingxin Zhang and Jie Zhou, Twisted sectors in Calabi-Yau type Fermat polynomial singularities and automorphic forms, arXiv:2112.07182
- Shizhang Li and Dingxin Zhang, Exponentially twisted de Rham cohomology and rigid cohomology, Math. Ann. 390 (2024), no. 1, 639–670, arXiv:2111.05689 (pdf)
- Dan Xie and Dingxin Zhang, Mixed Hodge structure and \(\mathcal{N}=2\) Coulomb branch solution, arXiv:2107.11180
- Dingxin Zhang, On Vlasenko’s formal group laws, Manuscripta Math. 170 (2023), no. 1-2, 167–191, arXiv:2009.10512
- Tsung-Ju Lee, B.-H. Lian, and Dingxin Zhang, On a conjecture of Huang–Lian–Yau–Yu, Comm. Anal. Geom. 31 2023 no. (6), 1341–1352, arXiv:2005.00676 (pdf)
- Tsung-Ju Lee and Dingxin Zhang, A-hypergeometric systems and relative cohomology, Internat. J. Math. 31 (2020), no. 13, 2050113, 21 pp., arXiv:1902.01536
- Dingxin Zhang, The Monsky–Washnitzer topos, arXiv:1904.09272
- Xi Chen, Xuanyu Pan, and Dingxin Zhang, Automorphism and cohomology II: complete intersections, Internat. J. Math. 35 (2024), no. 8, Paper No. 2450028, 30 pp., arXiv:1511.07906