McMullen, CurtisMukamel, RonenWright, Alex2017-11-072017McMullen, Curtis, Ronen Mukamel, and Alex Wright. 2017. “Cubic Curves and Totally Geodesic Subvarieties of Moduli Space.” Annals of Mathematics 185 (3) (May 1): 957–990. doi:10.4007/annals.2017.185.3.6.0003-486Xhttp://nrs.harvard.edu/urn-3:HUL.InstRepos:34334609In this paper we present the first example of a primitive, totally geodesic subvariety F⊂g,nF⊂Mg,n with dim(F)>1dim(F)>1. The variety we consider is a surface F⊂1,3F⊂M1,3 defined using the projective geometry of plane cubic curves. We also obtain a new series of Teichmüller curves in 4M4, and new SL2(ℝ)SL2(R)-invariant varieties in the moduli spaces of quadratic differentials and holomorphic 1-forms.en-USHodge theoryTeichmüller theorydynamics on moduli spaceselliptic curvesJournal Article2017-11-0710.4007/annals.2017.185.3.6