3 papers
math.AT2008
The spectra ko and ku are not Thom spectra: an approach using THH
Vigleik Angeltveit, Michael Hill, Tyler Lawson
We apply an announced result of Blumberg-Cohen-Schlichtkrull to reprove (under restricted hypotheses) a theorem of Mahowald: the connective real and complex K-theory spectra are no…
math.AT2005
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…
math.KT2005
The product formula in unitary deformation K-theory
Tyler Lawson
We prove that "unitary deformation K-theory" takes products of finitely generated groups to coproducts of algebra spectra over ku, the connective K-theory spectrum. Additionally, w…