Research
Research
Papers/Preprints
Revisiting Localization, Periodicit and Galois Symmetry, 2024, Stony Brook University, supervised by Dennis Sullivan
In maths, I have done the following works.
Covering Projective Height Balls by Subspaces in Rigid Adelic Spaces, 2026, arxiv 2609.00988 (jointly with Ruida Di)
Qp-Homotopy Types and Applications to Topology and Algebraic Geometry, 2026, arxiv 2608.25389 (jointly with Guozhen Wang)
Continuous Mal'cev Qp-completion of Pro-p Groups, 2026, arxiv 2608.23621 (jointly with Guozhen Wang)
Non-liftable Varieties via Etale Cohomology Ring, 2026, arxiv 2607.18588 (jointly with Siqing Zhang)
A Necessary Condition for Liftings of Positive Characteristic Varieties with Finite Fundamental Groups, Math. Z. 313, 50 (2026) (jointly with Ruida Di, Siqing Zhang), arxiv 2506.07914 (written 2025)
Formal Manifold Structures on Positive Characteristic Varieties, 2025, arxiv 2504.17221 (jointly with Siqing Zhang)
A Homotopical Consequence of Branched Covers, 2023, arxiv 2309.05231
Galois Symmetry on Topological Manifold Structures of Varieties, 2023, arxiv 2309.05229
L-theory Characteristic Classes, accepted by Journal of Topology and Analysis, arxiv 2309.05170 (written in 2023)
In astrophysics, I had the following publications.
(with C. Zhang, Y. Wu, X. Liu, S. Qin, T. Liu, J. Yuan et al.) Planck Galactic Cold Clumps in Two Regions: the First Quadrant and the Anti-Center Direction Region, 2020, ApJS, arxiv: 2010.11371
(with J. Yuan, Y. Wu, T. Liu T. Zhang et al.) Dense Gas in Molecular Cores Associated with Planck Galactic Cold Clumps, 2016, ApJS, arxiv: 1601.04783