16 citations · 18 across the 5 of their papers we have counts for
5 papers
Buildings, elliptic curves, and the K(2)-local sphere
Mark Behrens
We investigate a dense subgroup Gamma of the second Morava stabilizer group given by a certain group of quasi-isogenies of a supersingular elliptic curve in characteristic p. The g…
A modular description of the K(2)-local sphere at the prime 3
Mark Behrens
Using degree N isogenies of elliptic curves, we produce a spectrum Q(N). This spectrum is built out of spectra related to tmf. At p=3 we show that the K(2)-local sphere is built ou…
Isogenies of elliptic curves and the Morava stabilizer group
Mark Behrens, Tyler Lawson
Let MS_2 be the p-primary second Morava stabilizer group, C a supersingular elliptic curve over \br{FF}_p, O the ring of endomorphisms of C, and \ell a topological generator of Z_p…
Root invariants in the Adams spectral sequence
Mark Behrens
Let E be a ring spectrum for which the E-Adams spectral sequence converges. We define a variant of Mahowald's root invariant called the `filtered root invariant' which takes values…
On the existence of the self map v_2^9 on the Smith-Toda complex V(1) at the prime 3
Mark Behrens, Satya Pemmaraju
Let V(1) be the Smith-Toda complex at the prime 3. We prove that there exists a map v_2^9: Σ^{144}V(1) \to V(1) that is a K(2) equivalence. This map is used to construct various v_…