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.
- Exotic Multiplications on Periodic Complex Bordism with Jeremy Hahn (2019). Submitted.
- Multiplicative Structure in the Stable Splitting of ΩSLn(C) with Jeremy Hahn. Advances in Mathematics 348 (2019) 412-455.
Department of Mathematics
Massachusetts Institute of Technology
77 Massachusetts Avenue
Cambridge, MA 02139
alleny (at) mit (dot) edu