Representation theory for linear algebraic groups, Modular representations and characters, representations, homology decompositions, Combinatorial structures in finite projective spaces, Chain complexes (category-theoretic aspects), dg categories, Grassmannians, Schubert varieties, flag manifolds, Other homology theories in algebraic topology, posets, Duality in applied homological algebra and category theory (aspects of algebraic topology), Combinatorial aspects of representation theory, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), dualities, Grassmannians, Cohomology theory for linear algebraic groups, finite projective spaces