Curriculum Vitae

View Full CV in pdf

Education

  • Undegraduate - Lomonosov Moscow State University, 2011
  • Graduate school - University of Kansas, moved to University of Virginia, PhD 2015, advised by Craig Huneke

Employment

  • Researcher, KTH Royal Institute of Technology, 2021-2025, funded by Swedish Research Council.
  • Researcher, Charles University in Prague, 10.2020-03.2021.
  • Postdoc, Stockholm University, 2018-2020, mentored by Boris Shapiro.
  • Postdoc, University of Michigan, 2015-2018, mentored by Mel Hochster.

Awards

  • Starting Grant, Swedish Research Council, 2021-2025.
  • Travel support from the Wenner-Gren foundation, 2020.
  • Funding from the Stockholm University for a one-month visit to the University of Tokyo, 2019, forfeited due to the pandemic.
  • A grant to organize a Stockholm masterclass from the Stockholm Math Center, 2019.
  • Travel support from the Magnusons fond of the Royal Academy of Science, 2019.
  • AMS-Simons travel grant, 2016-2018.
  • Participant of MRC 2015 and recepient of the follow-up collaboration grant.

Research area

  • Commutative algebra, with a focus on interactions with algebraic geometry and singularity theory.

Teaching experience

  • Eight years of teaching experience. Various calculus classes in Kansas, Virginia, and Michigan; Applied Linear algebra, Introduction to Probability in Michigan; Mathematical methods for economists in Stockholm. Practicals for Algebra I in Prague.

Papers

More information about these projects and ongoing projects is available in Research.

    Published
  • Ilya Smirnov. Differential Krull dimension in differential polynomial extensions. Journal of Algebra, 344:354–372, 2011.
  • Craig Huneke and Ilya Smirnov. Prime filtrations of the powers of an ideal. Bulletin of the London Mathematical Society, 47(4):585–592, 2015.
  • Ilya Smirnov. Upper semi-continuity of the Hilbert-Kunz multiplicity. Compositio Mathematica, 152(3):477–488, 2016.
  • Mordechai Katzman, Linquan Ma, Ilya Smirnov, and Wenliang Zhang. D-module and F-module length of some local cohomology modules. Transactions of the American Mathematical Society, 370(12):8551-8580, 2018.
  • Craig Huneke, Ilya Smirnov, and Javid Validashti. A generalization of an inequality of Lech relating multiplicity and colength. Communications in Algebra, Special Issue in Honor of Gennady Lyubeznik, 47(6):2436-2449, 2019.
  • Ilya Smirnov. Equimultiplicity in Hilbert-Kunz theory. Mathematische Zeitschrift, 291(1-2):245-278, 2019.
  • Ilya Smirnov. Hilbert-Kunz multiplicity of the powers of an ideal. Proceedings of the American Mathematical Society, 147(8): 3331-3338, 2019.
  • Patricia Klein, Linquan Ma, Pham Hung Quy, Ilya Smirnov, and Yongwei Yao. Lech's inequality, the Stückrad--Vogel conjecture, and uniform behavior of Koszul homology. Advances in Mathematics, 347:442-472, 2019.
  • Hailong Dao and Ilya Smirnov. The multiplicity and the number of generators of an integrally closed ideal. Journal of Singularities, 19:61–75, 2019.
  • Luis Núñez-Betancourt and Ilya Smirnov. Hilbert-Kunz multiplicity and F-thresholds. Boletín de la Sociedad Matemática Mexicana, 26(1): 15-25, 2020.
  • Hailong Dao and Ilya Smirnov. On generalized Hilbert-Kunz function and multiplicity. Israel Journal of Mathematics., 237(1): 155–184, 2020.
  • Linquan Ma, Pham Hung Quy, and Ilya Smirnov. Colength, multiplicity, and ideal closure operations. Communications in Algebra, 48(4): 1601-1607, 2020.
  • Ilya Smirnov. On semicontinuity of multiplicities in families. Documenta Mathematica, 25: 381-399, 2020.
  • Thomas Polstra and Ilya Smirnov. Continuity of Hilbert-Kunz multiplicity and F-signature. Nagoya Mathematical Journal, 239:322-345,2020.
  • Linquan Ma, Pham Hung Quy, and Ilya Smirnov. Filter regular sequence under small perturbations. Mathematische Annalen, 378(1-2):243-254,2020.
  • Alessandro De Stefani and Ilya Smirnov. Decomposition of graded local cohomology tables. Mathematische Zeitschrift, 297(1):1-24, 2021.
  • Thomas Polstra and Ilya Smirnov. Equimultiplicity Theory of Strongly F-regular rings. Michigan Mathematical Journal, to appear.
  • Jack Jeffries and Ilya Smirnov. A transformation rule for natural multiplicities. International Mathematics Research Notices, to appear.
  • Craig Huneke, Linquan Ma, Pham Hung Quy, and Ilya Smirnov. Asymptotic Lech's inequality. Advances in Mathematics, to appear.
    • Submitted
  • Ilya Smirnov and Kevin Tucker. The theory of F-rational signature.
  • Alessandro De Stefani and Ilya Smirnov. Stability and deformation of F-singularities.
  • Jack Jeffries, Yusuke Nakajima, Ilya Smirnov, Kei-ichi Watanabe, Ken-ichi Yoshida. Lower bounds on Hilbert-Kunz multiplicities and maximal F-signatures.

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