I am an NSF Postdoc at the Department of Mathematics at Columbia University; this year, I am also visiting the IAS. Before that, I did my PhD at MIT, advised by Jacob Lurie, and my undergraduate work at Harvard. My research is supported by NSF Grant DMS-2002029.
My work draws broadly from higher category theory, chromatic and equivariant homotopy theory, and algebraic K-theory to solve problems in algebraic topology and seek out connections to other fields of math.
- Wilson Spaces, Snaith Constructions, and Elliptic Orientations with Jeremy Hahn and Hood Chatham (2019). Submitted.
- Integral Models for Spaces via the Higher Frobenius (2019). Submitted. There are some wonderful notes on this work thanks to the participants of a seminar organized by Marc Hoyois and Maria Yakerson: http://www.mathematik.ur.de/hoyois/SS20/iht/index.html.
- Exotic Multiplications on Periodic Complex Bordism with Jeremy Hahn (2019). To appear in Journal of Topology.
- Multiplicative Structure in the Stable Splitting of ΩSLn(C) with Jeremy Hahn. Advances in Mathematics 348 (2019) 412-455.
Department of Mathematics
New York, NY 10027
yuan (at) math (dot) columbia (dot) edu