Shangjie Zhang

Publications

• Equivariant $v_{1, 0}$-self maps

(with William Balderrama and Yueshi Hou)

Bulletin of the London Mathematical Society. 58(2026); e70288 [journal], 20 pages.

• The reduced ring of the $RO(G)$-graded $C_2$ equivariant stable stems 

(with Eva Belmont and Zhouli Xu)

Proceedings of the American Mathematical Society, Series B. 11(2024), 1-14 [journal], 14 pages.

Preprints

• $C_{p^n}$-equivariant Mahowald invariants

(with William Balderrama and Yueshi Hou)

[arxiv.org/2411.00421]

• $C_3$-equivariant stable stems

(with Yueshi Hou)
[arxiv.org/2505.10745]

• A Hurewicz theorem for $RO(C_2)$-graded equivariant homology governed by vector fields on spheres

(with Manyi Guo, Guchuan Li, Yunze Lu, Sihao Ma, Yuchen Wu, Zhouli Xu, Albert Jinghui Yang)
[arxiv.org/2605.26334]

In preparation

• A synthetic Moss theorem

(with Yuchen Wu)

• The $RO(C_2)$-graded Hurewicz image of Atiyah's real $K$-theory

(with Sihao Ma, Xiaolin Danny Shi, Albert Jinghui Yang, Zhouli Xu)

• Equivariant Mahowald invariant of Euler classes

(with Zhouli Xu)

• Tate spectral sequences with mixed primes

(with Yueshi Hou)