Publications and preprints
Perverse coherent sheaves on symplectic singularities. (2025) I. Dumanski, arXiv:2510.22541
K-theoretic Hikita conjecture for quiver gauge theories. (2025) I. Dumanski, V. Krylov, arXiv:2509.06226
A geometric approach to Feigin-Loktev fusion product and cluster relations in coherent Satake category (2024) I. Dumanski, International Mathematics Research Notices, 2024(22), pp.13988-14007.
On reduced arc spaces of toric varieties. (2025) I. Dumanski, E. Feigin, I. Makedonskyi, I. Makhlin, Algebra & Number Theory, 19(2), pp.313-363.
Beilinson–Drinfeld Schubert varieties and global Demazure modules. (2021) I. Dumanski, E. Feigin, M. Finkelberg. Forum of Mathematics, Sigma. doi:10.1017/fms.2021.36
Reduced arc schemes for Veronese embeddings and global Demazure modules. (2023) I. Dumanski, E. Feigin. Communications in Contemporary Mathematics, 25(08), p.2250034.
In preparation:
"Noncommutative resolutions of affine Schubert varieties and canonical basis for quantum affine group". I. Dumanski, V. Krylov