Research interests
I am an algebraic topologist with a special interest in the spectrum of topological modular forms TMF. I am also interested in several related and unrelated questions in abstract homotopy theory, stable and unstable chromatic homotopy theory and (derived) algebraic
geometry.
Preprints and Publications
Decomposition results for rings of modular forms, arXiv:1710.03461
Monadicity of the BousfieldKuhn functor, arXiv:1707.05986 (joint with Rosona Eldred, Gijs Heuts and Akhil Mathew)
(Topological) modular forms with level structures: decompositions and duality, arXiv:1609.09264
The Brauer group of the moduli stack of elliptic curves, arXiv:1608.00851 (joint with Ben Antieau)
Gorenstein duality for Real spectra, arXiv:1607.02332 (joint with John Greenlees), Algebraic & Geometric Topology 17 (2017), 35473619
Appendix B: 'Descent for higher real Ktheories'
to 'Descent in algebraic Ktheory and a conjecture of AusoniRognes', arXiv:1606.03328 (joint with Niko Naumann and Justin Noel, 2016)
The C_{2}spectrum Tmf_{1}(3) and its invertible modules (joint with Mike Hill), Algebraic & Geometric Topology 17 (2017) 19532011 (arXiv)
Fibration Categories are Fibrant Relative Categories, arXiv:1503.02036 , Algebraic & Geometric Topology 16 (2016), 32713300. (arXiv)
Fibrancy of Partial Model Categories (joint with Viktoriya Ozornova, 2015) Homology, Homotopy and Appl Volume 17.2 (2015), 5380 (arXiv)
Affineness and Chromatic Homotopy Theory (joint with Akhil Mathew) J Topology (2015) 8 (2): 476528 (arXiv, Erratum to the published version)
Vector Bundles on the Moduli Stack of Elliptic Curves, Journal of Algebra Volume 428 (2015), 425–456. (arXiv)
Hilbert Manifolds, Bulletin of the Manifold Atlas (2014, expository)
Spectral Sequences in String Topology, Algebraic & Geometric Topology 11 (2011), 28292860. (arXiv)
Talks
If you are interested in any of the images from the slides for a talk or a paper of your own, please ask and I am happy to help.
Theses
Other Documents
Zentralblatt Reviews MathSciNet Reviews
 
