Lurie, JacobAntolin Camarena, Omar2015-07-172015-052015-05-142015Antolin Camarena, Omar. 2015. The mod 2 homology of free spectral Lie algebras. Doctoral dissertation, Harvard University, Graduate School of Arts & Sciences.http://nrs.harvard.edu/urn-3:HUL.InstRepos:17467469The Goodwillie derivatives of the identity functor on pointed spaces form an operad ∂(Id) in spectra. We compute the mod 2 homology of free algebras for this operad on suspension spectra of simply-connected spaces.application/pdfenMathematicsThesis or Dissertation2015-07-17