XIAOLIN DANNY SHI
RESEARCH INTERESTS
My research interest is in algebraic topology, with a focus on equivariant homotopy theory and chromatic homotopy theory.
PUBLICATIONS AND PREPRINTS
Transchromatic phenomena in the equivariant slice spectral sequence, with Lennart Meier and Mingcong Zeng (2024).
A stratification of the equivariant slice spectral sequence, with Lennart Meier and Mingcong Zeng (2023).
On the slice spectral sequence for quotients of norms of Real bordism, with Agnès Beaudry, Michael A. Hill, Tyler Lawson, and Mingcong Zeng (2022).
Vanishing lines in chromatic homotopy theory, with Zhipeng Duan and Guchuan Li. Accepted by Geometry & Topology.
The slice spectral sequence of a C4-equivariant height-4 Lubin-Tate theory, with Michael A. Hill, Guozhen Wang, and Zhouli Xu. Memoirs of the American Mathematical Society 288 (2023), no. 1429. [journal]
Hood Chatham made a wonderful program to display this spectral sequence. You can find it here (it might take a little bit of time to load).
Transchromatic extensions in motivic and Real bordism, with Agnès Beaudry, Michael A. Hill, and Mingcong Zeng. Proceedings of the American Mathematical Society, Series B 10 (2023), 76-90. [journal]
The localized slice spectral sequence, norms of Real bordism, and the Segal conjecture, with Lennart Meier and Mingcong Zeng. Advances in Mathematics 412 (2023). [journal]
Intersection forms of spin 4-manifolds and the Pin(2)-equivariant Mahowald invariant, with Michael J. Hopkins, Jianfeng Lin, and Zhouli Xu. Communications of the American Mathematical Society 2 (2022), 22-132. [journal]
Quotient rings of HF2 smash HF2, with Agnès Beaudry, Michael A. Hill, Tyler Lawson, and Mingcong Zeng. Transactions of the American Mathematical Society 374 (2021), 8949-8988. [journal]
Models of Lubin-Tate spectra via Real bordism theory, with Agnès Beaudry, Michael A. Hill, and Mingcong Zeng. Advances in Mathematics 392 (2021). [journal]
Picard groups and duality for Real Morava E-theories, with Drew Heard and Guchuan Li. Algebraic & Geometric Topology 21 (2021), 2703-2760. [journal]
Real orientations of Lubin-Tate spectra, with Jeremy Hahn. Inventiones mathematicae 221 (2020), 731-776. [journal]
Hurewicz images of Real bordism theory and Real Johnson-Wilson theories, with Guchuan Li, Guozhen Wang, and Zhouli Xu. Advances in Mathematics 342 (2019), 67-115. [journal]
Bijective projections on parabolic quotients of affine Weyl groups, with Elizabeth Beazley, Margaret Nichols, Min Hae Park, and Alexander Youcis. Journal of Algebraic Combinatorics 41 (2015), 4, 911-948. [journal]
On orbits of order ideals of minuscule posets, with David B Rush. Journal of Algebraic Combinatorics 37 (2013), 3, 545-569. [journal]