We complete the classification of rank two affine manifolds in the moduli space of translation surfaces in genus three. Combined with a recent result of Mirzakhani and Wright, this completes the classification of higher rank affine manifolds in genus three.
D. A. was partially supported by the National Science Foundation under Award Nos. DMS - 1204414, DMS - 1600360, DMS - 1738381 and PSC-CUNY Grant B #60571-00 48.
"Rank 2 affine manifolds in genus $3$." J. Differential Geom. 116 (2) 205 - 280, October 2020. https://doi.org/10.4310/jdg/1603936812