Allen Yuan

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

  1. Wilson Spaces, Snaith Constructions, and Elliptic Orientations with Jeremy Hahn and Hood Chatham (2019). Submitted.
  2. 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.
  3. Exotic Multiplications on Periodic Complex Bordism with Jeremy Hahn (2019). To appear in Journal of Topology.
  4. Multiplicative Structure in the Stable Splitting of ╬ęSLn(C) with Jeremy Hahn. 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