XiaoLin Danny Shi

XiaoLin Danny Shi is an Assistant Professor in the Department of Mathematics at the University of Washington. His research focuses on algebraic topology, particularly equivariant homotopy theory and chromatic homotopy theory. He holds a Ph.D. from Harvard University (2019) and an S.B. from MIT (2013). His work has been supported by National Science Foundation grants DMS-2404828 (2024-2027) and DMS-2313842 (2021-2024).

Education:

• Ph.D. Mathematics, Harvard University, 2019 (Adviser: Michael Hopkins)
• S.B. Mathematics, Massachusetts Institute of Technology, 2013

Research Interests:
Dr. Shi explores foundational questions in algebraic topology, with emphasis on equivariant structures and chromatic methods. His work often intersects geometric topology and algebraic geometry, using tools like spectral sequences and cohomology theories to analyze topological spaces and their invariants. Recent projects include studies on Real bordism, Lubin-Tate spectra, and vanishing line phenomena in homotopy groups.

Grant Funding:

• National Science Foundation DMS-2404828 (2024-2027)
• National Science Foundation DMS-2313842 (2021-2024)

Key Contributions:
His publications advance understanding of slice spectral sequences, equivariant stable homotopy theory, and applications of chromatic techniques. Notable results include stratifications of equivariant spectral sequences and structural insights into Real-oriented cohomology theories.