I am a fifth-year PhD candidate in mathematics at MIT, advised by Jacob Lurie. My research is supported by NSF Grant DGE-1122374. Before this, I was an undergraduate at Harvard.

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.**Exotic Multiplications on Periodic Complex Bordism**with Jeremy Hahn (2019). Submitted.**Multiplicative Structure in the Stable Splitting of ΩSL**with Jeremy Hahn. Advances in Mathematics 348 (2019) 412-455._{n}(C)

## Contact

Department of Mathematics

Massachusetts Institute of Technology

77 Massachusetts Avenue

Cambridge, MA 02139

alleny (at) mit (dot) edu