Zhipeng Duan

Research

My research interests lie in homotopy theory and combinatorial topology, especially in applying methods from equivariant homotopy theory to problems in chromatic homotopy theory.

Preprints

• Periodicity and finite complexity in higher real K-theories

  Joint work with Mike Hill, Guchuan Li, Yutao Liu, XiaoLin Danny Shi, Guozhen Wang and Zhouli Xu.

  arXiv:2512.01161 [math.AT], 2025.

  arXiv

Publications

• Equivariant rising factorials and equivariant Euler characteristics

  Accepted by CDM.

• Topological data analysis for pore-network extraction in porous media

  Joint work with J. Liu, T. Zhang, Y. Zhang, and S. Sun.

  Advances in Geo-Energy Research 20(2) (2026), 101–113.

  DOI: 10.46690/ager.2026.05.01

• Vanishing Lines in Chromatic Homotopy Theory

  Joint work with Guchuan Li and XiaoLin Danny Shi.

  Geometry & Topology 29 (2025), 903–930.

  DOI: 10.2140/gt.2025.29.903 · arXiv

• RO(G)-Graded Homotopy Fixed Point Spectral Sequence for Height 2 Morava E-Theory

  Joint work with Hana Jia Kong, Guchuan Li, Yunze Lu, and Guozhen Wang.

  Peking Mathematical Journal (2024).

  DOI: 10.1007/s42543-024-00087-7 · arXiv

• Equivariant Euler Characteristics of Subgroup Complexes of Symmetric Groups

  Annals of Combinatorics 27, 67–85 (2023).

  DOI: 10.1007/s00026-022-00630-2

Manuscripts in preparation

• On the $K\left(4\right)$-local $C_4$-Picard group at height 4

  Joint work with Agnès Beaudry, Guchuan Li and XiaoLin Danny Shi.

• Moduli spaces of trees and complexes of not 2 connected graphs

  Joint work with Gregory Arone and Guchuan Li.

  First version available upon request.

Funding

Teaching

Current

• 2026–2027 (Autumn Semester)

  Lecturer in Linear Algebra and Differential Geometry.Nanjing Normal University.

Previous

• 2025–2026 (Spring Semester)

  Lecturer in Probability and Statistics and Modern Algebra (joint with Prof. Haiyan Zhou).Nanjing Normal University.

• 2025–2026 (Autumn Semester)

  Lecturer in Differential Geometry and Linear Algebra.Nanjing Normal University.

• 2024–2025

  Lecturer in Advanced Mathematics (6 credits).Nanjing Normal University.

• 2023–2024

  Lecturer in Advanced Mathematics (6 credits).Nanjing Normal University.

• 2021–2022 (Spring Semester)

  Lecturer in Advanced Mathematics (4 credits).Nanjing Normal University.

• 2018–2019 (Block 1)

  Teaching Assistant in Advanced Linear Algebra.University of Copenhagen.

• 2017–2018 (Block 1)

  Teaching Assistant in Advanced Linear Algebra.University of Copenhagen.