Michael A. Hill

Topological modular forms

Elliptic genera and elliptic cohomology by C. Redden Ellliptic curves and modular forms by C. Mautner The moduli stack of elliptic curves by A. Henriques The Landweber exact functor theorem by H. Hohnhold Sheaves in homotopy theory by C. L. Douglas Bousfield localization and the Hasse square by T. Bauer The local structure of the moduli stack of formal groups by J. Lurie Goerss-Hopkins obstruction theory by V. Angeltveit From spectra to stacks by M. Hopkins The string orientation by M. Hopkins The sheaf of E ring spectra by M. Hopkins The construction of tmf by M. Behrens The homotopy groups of tmf and of its localizations by A. Henriques Ellitpic curves and stable homotopy I by M. J. Hopkins and H. R. Miller From elliptic curves to homotopy theory by M. Hopkins and M. Mahowald 1 E ring spectra by M. J. Hopkins Glossary by C. L. Douglas, J. Francis, A. G. Henriques, and M. A. Hill

The C2–spectrum Tmf1(3) and its invertible modules

We explore the

The 5–local homotopy of eo4

C_2

On the nonexistence of elements of Kervaire invariant one

-equivariant spectra

Operadic multiplications in equivariant spectra, norms, and transfers

Tmf_1(3)

Topological modular forms with level structure

and

Topological Hochschild homology of ℓ and ko

TMF_1(3)

Automorphic forms and cohomology theories on Shimura curves of small discriminant

. In particular, we compute their

G-symmetric monoidal categories of modules over equivariant commutative ring spectra

C_2

Ext and the motivic steenrod algebra over "R"

-equivariant Picard groups and the