Research

Photo credit: Don Weigel, Sombrero Galaxy (above), Flaming Star Nebula (below)

Publications 

1. Character formulas from matrix factorizations (in Amer. Jour. Math.): https://arxiv.org/abs/1704.00089 

2. Completed K-theory and equivariant elliptic cohomology (in Adv. in Math): https://arxiv.org/abs/1904.00085

3. Brauer-Wall groups and truncated Picard spectra of K-theory (with Jonathan Beardsley and Jack Morava, to appear in Alg. Geom. Topol.):  https://arxiv.org/abs/2306.10112 

4.  A geometric model for mod p bordism (to appear in Homol. Homot. App.): https://arxiv.org/abs/2209.06980  

Preprints

1. Tate-valued characteristic classes II: Applications (with Shachar Carmeli): https://arxiv.org/abs/2510.01488 

2. p-adic congruences in iterated derivatives of P (with Eric Peterson): https://arxiv.org/abs/2506.07420 

3. Tate-valued characteristic classes (with Shachar Carmeli): https://arxiv.org/abs/2503.12134 

4. The spectrum of units of algebraic K-theory (with Shachar Carmeli):  https://arxiv.org/abs/2410.10126 

5. The equivariant String orientation at the Tate curve (with Dan Berwick-Evans and Langwen Hui): In preparation.

6. There aren't that many Morava E theories (with Eric Peterson): https://arxiv.org/abs/2202.03485 

7.  A short, conceptual derivation of the dual Steenrod algebra: https://arxiv.org/abs/2109.00048