Publications and Preprints:
R. Gonin, A. Ionov, K. Tolmachov, "On t-exactness property of the Harish-Chandra transform", arXiv preprint:2412.07146 (2024)
A. Ionov, "Fourier transform on the locus of cyclic spectral curves in the Hitchin base", arXiv preprint:2404.13787 (2024)
A. Basalaev, A. Ionov, "Hodge diamonds of the Landau-Ginzburg orbifolds", SIGMA 20 (2024), 024, 25 pages, doi: 10.3842/SIGMA.2024.024
R. Bezrukavnikov, A. Ionov, K. Tolmachov, Y. Varshavsky, "Equivariant derived category of a reductive group as a categorical center", arXiv preprint: 2305.02980 (2023), accepted to Israel Journal of Mathematics
A. Ionov, Z. Yun, "Tilting sheaves for real groups and Koszul duality", arXiv preprint:2301.05409 (2023), accepted to Compositio Mathematica
A. Ionov, "McKay correspondence and orbifold equivalence" J. of Pure and App. Alg. Volume 227, Issue 5, 107297, (2023), doi: 10.1016/j.jpaa.2022.107297
A. Basalaev, A. Ionov, "Mirror map for Fermat polynomial with non-abelian group of symmetries", Th. and Math. Phys., 209(2): 1491-1506 (2021), doi: 10.1134/S0040577921110015
A. Ionov, D. Pentalnd "Filtrations on block subalgebras of reduced universal enveloping algebras", J. of Alg. and its App. (2021), doi: 10.1142/S0219498823500019
A. Basalaev, A. Ionov, "Hochschild cohomology of Fermat type polynomials with nonabelian symmetries", J. Geom. Phys. 174, (2022), doi: 10.1016/j.geomphys.2021.104450
A. Ionov, "Primitive forms for Gepner singularities", J. Geom. Phys, 140, 125–130 (2016), doi: 10.1016/j.geomphys.2019.03.001
M. Finkelberg, A. Ionov "Kostka-Shoji polynomials and Lusztig’s convolution diagram", Bull. of Inst. of Math. Ac. Sinica (New Series), Vol. 13. No. 1. P. 31–42 (2018), doi: 10.21915/BIMAS.2018102
M. Finkelberg, V. Ginzburg, A. Ionov, A. Kuznetsov, "Intersection cohomology of the Uhlenbeck compactification of the Calogero-Moser space", Selecta Math., New Series, Vol. 22. No. 4. P. 2491–2534 (2016), doi: 10.1007/s00029-016-0279-1