diff --git a/TODO b/TODO
index 5e8da5d1..d10d5793 100644
--- a/TODO
+++ b/TODO
@@ -1,3 +1,9 @@
+i)    Refine subspace with HDCG & recompute
+ii)   Block Lanczos in coarse space
+iii)  Batched block project in the operator computation
+
+-------
+
 i) Clean up CoarsenedMatrix, GeneralCoarsenedMatrix, GeneralCoarsenedMatrixMultiRHS
 
  -- Ideally want a SINGLE implementation that does MultiRHS **AND** works with one RHS.