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.

## Papers

**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 ΩSL**with Jeremy Hahn._{n}(C)*Advances in Mathematics*348 (2019) 412-455.

## Contact

Department of Mathematics

Columbia University

2990 Broadway

New York, NY 10027

yuan (at) math (dot) columbia (dot) edu