Allen Yuan

Office: Lunt B18

I am an assistant professor at Northwestern University. Previously, I was a member at the IAS (’23-’24) and a postdoc at Columbia University (’20-23). I did my PhD at MIT, advised by Jacob Lurie, and my undergraduate work at Harvard.

I am interested in various aspects of homotopy theory, especially as they relate to algebraic K-theory, arithmetic geometry, and classical problems in algebraic topology. My CV can be found here.

Papers

  1. Maps between spherical group rings with Shachar Carmeli and Thomas Nikolaus (2024). Submitted.
  2. Relative cyclotomic structures and equivariant complex cobordism with Andrew Blumberg and Mike Mandell (2023).
  3. G-spectra of cyclic defect with Tony Feng and David Treumann (2023). Submitted.
  4. The sphere of semiadditive height 1 International Mathematics Research Notices (2023).
  5. The Chromatic Nullstellensatz with Robert Burklund and Tomer Schlank (2022). To appear in Annals of Mathematics.
  6. Examples of chromatic redshift in algebraic K-theory (2021). To appear in Journal of the European Mathematical Society.
  7. Chromatic convergence for the algebraic K-theory of the sphere spectrum with Andrew Blumberg and Mike Mandell (2021). Submitted.
  8. Higher semiadditive Grothendieck-Witt theory and the K(1)-local sphere with Shachar Carmeli. Communications of the American Mathematical Society (2023).
  9. A version of Waldhausen’s chromatic convergence for TC with Andrew Blumberg and Mike Mandell. Bulletin of the LMS (2023).
  10. Wilson Spaces, Snaith Constructions, and Elliptic Orientations with Jeremy Hahn and Hood Chatham. Inventiones Mathematicae (2024).
  11. Integral Models for Spaces via the Higher Frobenius. Journal of the American Mathematical Society (2023).
  12. Exotic Multiplications on Periodic Complex Bordism with Jeremy Hahn. Journal of Topology 13 (2020).
  13. Multiplicative Structure in the Stable Splitting of ΩSLn(C) with Jeremy Hahn. Advances in Mathematics 348 (2019).

Contact

Lunt Hall
2033 Sheridan Road
Evanston, IL 60208
allenyuan (at) northwestern (dot) edu