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Research Interests
Research Interests
My research interest is in algebraic topology, with a focus on equivariant homotopy theory and chromatic homotopy theory.
Publications and Preprints
Publications and Preprints
Transchromatic phenomena in the equivariant slice spectral sequence, with Lennart Meier and Mingcong Zeng (2024).
A stratification of the equivariant slice filtration, with Lennart Meier and Mingcong Zeng (2023). International Mathematics Research Notices (IMRN), Volume 2025, Issue 16, August 2025. [journal]
On the slice spectral sequence for quotients of norms of Real bordism, with Agnès Beaudry, Michael A. Hill, Tyler Lawson, and Mingcong Zeng. Journal of Topology, 18 (2025), Issue 1. [journal]
Vanishing lines in chromatic homotopy theory, with Zhipeng Duan and Guchuan Li. Geometry & Topology, 29: 2 (2025), 903-930. [journal]
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]
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]
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