I am an NSF Postdoc at the Department of Mathematics at Columbia University. Previously, I was a visitor at the IAS (’20-21) and 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. My CV can be found here.

## Papers

**G-spectra of cyclic defect**(2023) with Tony Feng and David Treumann.**The sphere of semiadditive height 1**(2022). To appear in*International Mathematics Research Notices.***The Chromatic Nullstellensatz**(2022) with Robert Burklund and Tomer Schlank.**Examples of chromatic redshift in algebraic K-theory**(2021). Submitted.**Chromatic convergence for the algebraic K-theory of the sphere spectrum**with Andrew Blumberg and Mike Mandell (2021). Submitted.**Higher semiadditive Grothendieck-Witt theory and the K(1)-local sphere**with Shachar Carmeli (2021). To appear in*Communications of the American Mathematical Society*.**A version of Waldhausen’s chromatic convergence for TC**with Andrew Blumberg and Mike Mandell (2021). To appear in*Bulletin of the LMS*.**Wilson Spaces, Snaith Constructions, and Elliptic Orientations**with Jeremy Hahn and Hood Chatham (2019). Submitted.**Integral Models for Spaces via the Higher Frobenius**.*Journal of the American Mathematical Society*(2023). 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.*Journal of Topology*13 (2020).**Multiplicative Structure in the Stable Splitting of ΩSL**with Jeremy Hahn._{n}(C)*Advances in Mathematics*348 (2019).

## Contact

Department of Mathematics

Columbia University

2990 Broadway

New York, NY 10027

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