diff --git a/academia_page/academia_docs/Geometry_Vortices_Paper.pdf b/academia_page/academia_docs/Geometry_Vortices_Paper.pdf index d8b1c84..a80fb01 100644 Binary files a/academia_page/academia_docs/Geometry_Vortices_Paper.pdf and b/academia_page/academia_docs/Geometry_Vortices_Paper.pdf differ