Personal Profile
Ruan Yangyang received his Ph.D. from Beijing Normal University in 2021. he subsequently conducted postdoctoral research at the Academy of Mathematics and Systems Science, Chinese Academy of Sciences, and at the Beijing Institute of Mathematical Sciences and Applications (BIMSA). In April 2026, he joined HIMIS as an Assistant Professor. his primary research interests lie in algebraic topology, with a focus on algebraic topology on directed graphs (particularly GLMY theory) and the computation of stable homotopy groups of spheres.
Research Interests
algebraic topology on directed graphs (particularly GLMY theory)
the computation of stable homotopy groups of spheres
Educational Background
PhD / 2016–2021 Beijing Normal University
Bachelor's Degree/2011–2015 China Agricultural University
Work Experience
2026–present Assistant Professor, Hetao Institute of Mathematics and Interdisciplinary Sciences (HIMIS)
2023–2026 Postdoctoral Fellow, Beijing Institute of Mathematical Sciences and Applications (BIMSA)
2021–2023 Postdoctoral Fellow, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Publications
1、Blue-shift phenomenon and Balmer spectrum:
A General Blue-Shift Phenomenon, arXiv:2301.05030.
2、The -motivic homotopy theory:
The -motivic Adams-Novikov spectral sequence for topological modular forms, with Daniel C. Isaksen, Hana Jia Kong, Guchuan Li, Heyi Zhu, Adv. Math. 458 (2024), Paper No. 109966, 47 pp.
Periodic phenomena in the cohomology of the moduli stack of 1-dimensional formal group laws, with Daniel C. Isaksen, Hana Jia Kong, Guchuan Li, Heyi Zhu, arXiv:2504.14383.
A sparse periodic family in the cohomology of the C-motivic steenrod algebra, with Daniel C. Isaksen, Hana Jia Kong, Guchuan Li, Heyi Zhu, arXiv:2504.16220.
3、Homotopy theory of digraphs (directed graphs):
Cubical setting for directed discrete homotopy theory, with Jianzhong Pan, Jie Wu, in preparation.
Digraph James Construction, with Jianzhong Pan, Jie Wu, in preparation.
4、Cohomology of the classifying spaces of Kac-Moody groups:
The isomorphism types of parabolic subgroups in Kac-Moody groups, with Xu-an Zhao, Ran Wang, Adv. Math. (China) 53 (2024), no. 3, 579-587.
The rational cohomology groups of the classifying spaces of Kac-Moody groups, with Xu-an Zhao, Hongzhu Gao, Front. Math. 20 (2025), no. 4, 873-892.
Cohomology of classifying spaces of rank 3 Kac-Moody groups, with Xu-an Zhao, arXiv:2502.06169.
Academic Conferences
1、eCHT: electronic Computational Homotopy Theory (online)
2、IWoAT: International Workshop on Algebraic Topology (Southern University of Science and Technology, Fudan University)
3、Advances in Homotopy Theory VIII-IX (online)
4、East Asian Conference on Algebraic Topology (Hebei Normal University)