A new journal, Moduli of the Compositio Foundation accepts submissions here.
“Moduli provides a new forum for significant new results on all aspects of moduli theory or related mathematics, including but not restricted to techniques from: algebraic, differential and arithmetic geometry; combinatorics; dynamical systems; gauge theory; geometric analysis; geometric group theory; pure mathematics inspired by physics; representation theory; and topology. All contributions are required to meet high standards of quality and originality and are peer reviewed by experts in the field.”