Algebraic topology, especially equivariant stable homotopy theory, Mackey functors, cobordism, motivic homotopy theory
I.Kriz, Y.Lu: On the structure of equivariant formal group laws, Homology Homotopy Appl. 27 (2025), no. 1, 383–402
P.Hu, I.Kriz, P.Somberg: On the equivariant motivic filtration of the topological Hochschild homology of polynomial algebra, arxiv:2205.134279Adv. Math. 412 (2023), Paper No. 108803, 12 pp. P.Hu, I.Kriz, P.Somberg, F.Zou: Equivariant operations in topological Hochschild homology, arxiv:2504.07064, Math. Z. 310 (2025), no. 4, Paper No. 67, 21 pp. P.Hu, I.Kriz, P.Somberg, F.Zou: The Z/p-equivariant dual Steenrod algebra for an odd prime p, arxiv:2205.134279, to appear in Transactions of the American Mathematical Society P.Hu, I.Kriz, P.Somberg, F.Zou: The Z/p-equivariant spectrum BPR for an odd prime p, arxiv:2407.16599P.Hu, I.Kriz, P.Somberg, B.Riley: On Smith-Stong's self-conjugate cobordism challenge
P.Hu, D.Kriz, I.Kriz, P.Somberg: Some remarks on plectic motivic spaces and spectra, Czechoslovak Math. J. 75(150) (2025), no. 2, 585–598
V.Burghradrt, P.Hu, I.Kriz, P.Somberg: Perverse Mackey functors, to appear in Mathematica Scandinavica
I.Kriz, B.Roytman: What is an equivariant Adams spectral sequence?
V.Burghardt, P.Hu, D.Kriz, I.Kriz, P.Somberg: Chain-level models of equivariant topological Hochschild homology of semiperfect and smooth algebras over finite fields, to appear in Homology, Homotopy and Applications
Here are the course notes of some of my recent courses.