| Upper semi-continuity of the Hilbert–Kunz multiplicity I Smirnov Compositio Mathematica 152 (3), 477-488, 2016 | 18 | 2016 |
| On the generalized Hilbert-Kunz function and multiplicity H Dao, I Smirnov Israel Journal of Mathematics 237 (1), 155-184, 2020 | 16* | 2020 |
| Colength, multiplicity, and ideal closure operations L Ma, PH Quy, I Smirnov Communications in Algebra 48 (4), 1601-1607, 2020 | 13 | 2020 |
| The theory of F-rational signature I Smirnov, K Tucker Journal für die reine und angewandte Mathematik (Crelles Journal), 2024 | 10 | 2024 |
| Filter regular sequence under small perturbations L Ma, PH Quy, I Smirnov Mathematische Annalen 378 (1), 243-254, 2020 | 9 | 2020 |
| Continuity of Hilbert–Kunz multiplicity and F-signature T Polstra, I Smirnov Nagoya Mathematical Journal 239, 322-345, 2020 | 9 | 2020 |
| A generalization of an inequality of Lech relating multiplicity and colength C Huneke, I Smirnov, J Validashti Communications in Algebra 47 (6), 2436-2449, 2019 | 9 | 2019 |
| Equimultiplicity theory of strongly F-regular rings T Polstra, I Smirnov Michigan Mathematical Journal 70 (4), 837-856, 2021 | 8 | 2021 |
| On semicontinuity of multiplicities in families I Smirnov Documenta Mathematica 25, 381-399, 2020 | 8 | 2020 |
| Equimultiplicity in Hilbert–Kunz theory I Smirnov Mathematische Zeitschrift 291, 245-278, 2019 | 8 | 2019 |
| A transformation rule for natural multiplicities J Jeffries, I Smirnov International Mathematics Research Notices 2022 (2), 999-1015, 2022 | 6 | 2022 |
| Decomposition of graded local cohomology tables A De Stefani, I Smirnov Mathematische Zeitschrift 297, 1-24, 2021 | 6 | 2021 |
| Asymptotic Lech's inequality C Huneke, L Ma, PH Quy, I Smirnov Advances in Mathematics 372, 107296, 2020 | 6 | 2020 |
| Lower bounds on Hilbert–Kunz multiplicities and maximal F-signatures J Jeffries, Y Nakajima, I Smirnov, KI Watanabe, KI Yoshida Mathematical Proceedings of the Cambridge Philosophical Society 174 (2), 247-271, 2023 | 5 | 2023 |
| Hilbert–Kunz multiplicities and F-thresholds L Núñez-Betancourt, I Smirnov Boletín de la Sociedad Matemática Mexicana 26, 15-25, 2020 | 5 | 2020 |
| Lech's inequality, the Stückrad–Vogel conjecture, and uniform behavior of Koszul homology P Klein, L Ma, PH Quy, I Smirnov, Y Yao Advances in Mathematics 347, 442-472, 2019 | 5 | 2019 |
| Prime filtrations of the powers of an ideal C Huneke, I Smirnov arXiv preprint arXiv:1407.3320, 2014 | 5 | 2014 |
| 𝐷-module and 𝐹-module length of local cohomology modules M Katzman, L Ma, I Smirnov, W Zhang Transactions of the American Mathematical Society 370 (12), 8551-8580, 2018 | 4 | 2018 |
| Stability and deformation of F-singularities A De Stefani, I Smirnov arXiv preprint arXiv:2002.00242, 2020 | 3 | 2020 |
| Hilbert–Kunz multiplicity of the powers of an ideal I Smirnov Proceedings of the American Mathematical Society 147 (8), 3331-3338, 2019 | 3 | 2019 |
