## Research interests

I am an algebraic topologist with a special interest in the spectrum of topological modular forms

and unrelated questions in abstract homotopy theory, stable and unstable chromatic homotopy theory and (derived) algebraic geometry.

Currently I am thinking mostly about the Bousfield-Kuhn functor,

genera and Brauer groups of moduli stacks of elliptic curves. This includes the following collaborations: A splitting for Understanding torus-equivariant

*TMF*. I am also interested in several relatedand unrelated questions in abstract homotopy theory, stable and unstable chromatic homotopy theory and (derived) algebraic geometry.

Currently I am thinking mostly about the Bousfield-Kuhn functor,

*TMF*with level structures, equivariant*TMF*and its applications to ellipticgenera and Brauer groups of moduli stacks of elliptic curves. This includes the following collaborations:

*TMF*(joint with V. Ozornova)

_{0}(7)*TMF*(joint with D. Gepner and T. Nikolaus)

## Preprints and Publications

*Algebraic & Geometric Topology 17 (2017), 3547-3619*, Erratum to the published version

(joint with Niko Naumann and Justin Noel, 2016)

_{2}-spectrum Tmf

_{1}(3) and its invertible modules (joint with Mike Hill),

*Algebraic & Geometric Topology 17*(2017) 1953-2011 (arXiv)

*Algebraic & Geometric Topology*

**16**(2016), 3271-3300. (arXiv)

*Homology, Homotopy and Appl*

**Volume 17.2**(2015), 53-80 (arXiv)

*J Topology*(2015) 8 (2): 476-528 (arXiv, Erratum to the published version)

*Journal of Algebra*

**Volume 428**(2015), 425â€“456. (arXiv)

*Bulletin of the Manifold Atlas*(2014, expository)

*Algebraic & Geometric Topology*

**11**(2011), 2829-2860. (arXiv)

## Other Documents and Non-arXived Preprints

*TMF*-modules (2017)

*TMF*(2017)